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$199.95
61. Geometry - Teacher's Edition
$6.00
62. Master Math: Geometry (Master
$32.97
63. Riemannian Geometry
$5.96
64. Geometry: Concepts and Applications,
65. Geometry and Trigonometry for
$6.43
66. Euclid's Window : The Story of
$97.99
67. Geometry, Student Edition
$19.99
68. MP Basic Mathematical Skills with
$45.00
69. Riemannian Geometry (Graduate
$9.54
70. Fundamental Concepts of Geometry
$6.99
71. Ace's Geometry Exambusters Study
$86.29
72. California Geometry
$39.95
73. Geometry
$45.75
74. The Geometry of Physics: An Introduction,
$74.99
75. Multiple View Geometry in Computer
$3.33
76. Famous Problems of Geometry and
$5.99
77. Janice VanCleave's Geometry for
$7.99
78. Schaum's Outline of Geometry
$54.48
79. Euclidean and Non-Euclidean Geometries:
80. Geometry Concepts and Skills -

61. Geometry - Teacher's Edition
by Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
 Hardcover: 750 Pages (2000-06-30)
-- used & new: US$199.95
(price subject to change: see help)
Asin: 0395977282
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Editorial Review

Product Description
Teacher's Edition ... Read more


62. Master Math: Geometry (Master Math Series)
by Debra Anne Ross
Paperback: 406 Pages (2009-06-04)
list price: US$19.99 -- used & new: US$6.00
(price subject to change: see help)
Asin: 1598639846
Average Customer Review: 4.0 out of 5 stars
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Editorial Review

Product Description
Get ready to master the concepts and principles of geometry! Master Math: Geometry is a comprehensive reference guide that explains and clarifies the principles of geometry in a simple, easy-to-follow style and format. You?ll begin with the language of geometry, deductive reasoning and proofs, and key axioms and postulates. And as you understand the most basic fundamental topics you?ll progress through to the more advanced topics, with step-by-step procedures and solutions, along with examples and applications, to help you as you go. A complete table of contents and a comprehensive index enable you to quickly find specific topics, and the approachable style and format facilitate an understanding of what can be intimidating and tricky skills. Perfect for both students who need some extra help or rusty professionals who want to brush up, Master Math: Geometry will help you master everything from deductive reasoning and proofs to constructions and analytic geometry. ... Read more

Customer Reviews (5)

5-0 out of 5 stars Master Math: Geometry
Master Math: Geometry (Master Math Series)I was impressed with the orginization of the text for this book. Topics were well-covered in an easy to read format.
Martin

1-0 out of 5 stars Warning:A Texbook with no exercises
I am so amazed that anyone would write a textbook with no exercises.There is very little chance of anyone developing a good grasp of any kind of math subject without practice.I bought this book because of the good reviews-I can't believe that no one mentioned that there is not one single exercise in all 406 pages!Now I am left with the choice of not using the book at all or purchasing another book with exercises.

5-0 out of 5 stars Recommended for high school collections on up
Any high school to college-level student wishing to master the basics of math needs these comprehensive references that clarifies and explain basic math principles. Two new math studies titles by Debra Anne Ross are particularly to be recommended for math students, as well as non-specialist general readers seeking to develop a basic understanding of algebra. Master Math: Geometry moves from basic topics, examples and applications to building upon basics, Master Math: Algebra surveys algebra by itself and moves from simple algebraic equations to graphing, and her Master Math: Basic Math & Pre-Algebra surveys basic arithmetic subjects and formulas. These are perfect for study, review, or supplemental learning and are recommended for high school collections on up.

5-0 out of 5 stars Perfect Choice!
My 14 year old daughter is homeschooled and she needed some guided help with her Geometry class.This book was the perfect choice!It's well written, easy to comprehend and easy to find what you are looking for.

5-0 out of 5 stars The best basic geometry book written!
The best presentation of geometry I have ever seen.The topics are presented in a logical manner so that they build, are in context, and make sense.It explains logic and proofs in a way students can really understand.Definitions are provided in the beginning so you can orient yourself and understand the jargon of geometry from the start.It presents concepts three ways: a description, a picture, and a description of the picture.It makes learning so easy!There are plenty of real-world and fun examples and tidbits of information that makes learning fun.It is clear, concise, and the topics have a flow and context that makes is easier to learn the material whether you are taking geometry for the first time, are older and need a review, or are taking higher level math, science or engineering classes and need to quickly look something up and understand it.Learning geometry does not need to be a frustrating experience!Everything you need for basic geometry is in this book!Master Math: Basic Math and Pre-Algebra, Master Math: Algebra, Master Math: Trigonometry, Master Math: Pre-Calculus, Master Math: Calculus (and the novel, Arrows Through Time: A Time Travel Tale of Adventure, Courage, and Faith) are also fantastic!

... Read more


63. Riemannian Geometry
by Manfredo P. do Carmo
Hardcover: 320 Pages (1992-01-01)
list price: US$54.95 -- used & new: US$32.97
(price subject to change: see help)
Asin: 0817634908
Average Customer Review: 5.0 out of 5 stars
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Editorial Review

Product Description
This text has been adopted at:

University of Pennsylvania, PhiladelphiaUniversity of Connecticut, StorrsDuke University, Durham, NCCalifornia Institute of Technology, PasadenaUniversity of Washington, SeattleSwarthmore College, Swarthmore, PAUniversity of Chicago, ILUniversity of Michigan, Ann Arbor

"In the reviewer's opinion, this is a superb book which makes learning a real pleasure."

- Revue Romaine de Mathematiques Pures et Appliquees

"This main-stream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises."

- Monatshefte F. Mathematik

"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry."

- Publicationes Mathematicae

Contents: Differential Manifolds * Riemannian Metrics * Affine Connections; Riemannian Connections * Geodesics; Convex Neighborhoods * Curvature * Jacobi Fields * Isometric Immersions * Complete Manifolds; Hopf-Rinow and Hadamard Theorems * Spaces of Constant Curvature * Variations of Energy * The Rauch Comparison Theorem * The Morse Index Theorem * The Fundamental Group of Manifolds of Negative Curvature * The Sphere Theorem * Index

Series: Mathematics: Theory and Applications ... Read more

Customer Reviews (8)

5-0 out of 5 stars Excelent book.
I studied the portuguese version of this book during the master degree program in mathematics at University of Brasilia, 1999. The book is very well written with beautiful results. Manfredo is an excellent mathematician, a great professor, and I had the chance to be present in many colloquiuns where he was the speaker. This is an very good exposition for those interested to learn more about the subject.

4-0 out of 5 stars Needs a table of symbols
This is another well-written text by Do Carmo. I browsed through it and found I could not understand several passages because I did not know what the special symbols meant and there was no table of symbols. I plead with the publisher to add such a table to the next edition or printing.

5-0 out of 5 stars Concise and clear
This is really a very good book to start Riemannian Geometry (RG). Exposition of key concepts of RG (affine connection, riemannian connection,geodesics, parallelism and sectional curvature, ...) are well motivated and concisely explained with numerous motivating and not so difficult execises. The book is self contained convenient for self study. It contains an introductory chapter on mathematical background explaining basic concepts as differentiable manifolds, immersion, embedding and so on, which are necessary to deal with RG. I have essentially one basic remark about this book. Formulation of RG as presented in it, is a little bit dated. Now, with the development of geometric algebra and Geometric calculus most, if not all, mathematical concepts needed to study RG like covariant derivative, curvature, and general tensors can be formulated without ressort to coordinates and in a manner to highlight their essential geometric features. Moreover derivation of certain formulae can be much easier and natural. For example the author defines the formula for |x^y| as sqrt(sqr(|x|).sqr(|y|)-sqr(inner product(x,y))). Then explains that it is the area of two dimensional parallelogram determined by the pair of vectors x and y. The reader might be puzzled as to how this formula is obtained. In the context of geometric algebra this is derived very naturally from basic concepts. Anyway, this remark does not diminish the value of this book.

5-0 out of 5 stars Best 1st semester Riemannian Geometry book after 1 semester DG
This is the best Riemannian Geometry book after students have finished a semester of differential geometry.It gives geometric intuition, has plenty of exercises and
is excellent preparation for more advanced books like Cheeger-Ebin.

Students should already know differential geometry (Spivak "Calculus on manifolds" and Spivak "Differential Geometry Volume I" might be used there)

Warning: the curvature tensor is defined backwards as compared to Cheeger-Ebin.

5-0 out of 5 stars Definitely a good start
This book is definitely a solid way to start in Riemannian geometry. The topics chosen give a glimpse of more advanced topics that the reader can venture to next, and the order covered leaves little confusion. The book is to the point, with little conversation about the concepts except at the very beginning of each chapter.

I only have two complaints, but neither would cause me to lower the rating to 4 stars.

1. There could be more "deep" exercises that allow the reader to explore more of the subtleties of the subject. And for what exercises there are, the author sometimes gives far too much away in "hints."

2. The book does not take a unified approach to the subject that fits nicely with the full generality of the theory. This is probably what makes the book good to start with, but there is still going to be a somewhat difficult transition from this book to a typical differential/riemannian geometry book. Namely, the basic language of vector bundles, pull backs/push forwards, tensors and tensor fields are either covered in a very specific framework or not at all. ... Read more


64. Geometry: Concepts and Applications, Practice Workbook
by McGraw-Hill
Paperback: 96 Pages (2005-02-05)
list price: US$5.96 -- used & new: US$5.96
(price subject to change: see help)
Asin: 0078696224
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65. Geometry and Trigonometry for Calculus (Wiley Self-Teaching Guides)
by Peter H. Selby
Paperback: 432 Pages (1975-04-18)
list price: US$19.95
Isbn: 0471775584
Average Customer Review: 4.0 out of 5 stars
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Editorial Review

Product Description
Geometry & Trigonometry for Calculus By Peter H. Selby If you need geometry and trigonometry as a tool for technical work … as a refresher course … or as a prerequisite for calculus, here’s a quick, efficient way for you to learn it! With this book, you can teach yourself the fundamentals of plane geometry, trigonometry, and analytic geometry … and learn how these topics relate to what you already know about algebra and what you’d like to know about calculus. You’ll work your way through geometry, numerical trigonometry, methods of trigonometric analysis, analytics, and limits—all the way up to the "front door" of calculus. Geometry and Trigonometry for Calculus is one of the Wiley Self-Teaching Guides. It’s been tested, rewritten, and retested until we’re sure you can teach yourself the concepts of geometry and trigonometry. And it’s programmed—so you work at your own pace. No prerequisites are needed. Objectives and self-tests tell you how you’re doing and allow you to skip ahead or find extra help if you need it. Frequent reviews and practice exercises reinforce what you learn. Wiley Self-Teaching Guides Astronomy, Moche Basic Physics, Kuhn Chemistry: Concepts and Problems, Houk How to Succeed in Organic Chemistry, Gordon Basic Electricity, Ryan Electronics, Kybett Ecology, Sutton Energy for Life, Allamong Plant Anatomy, Stevenson Quick Medical Terminology, Smith Human Anatomy, Ashley Dental Anatomy and Terminology, Ashley Math Skills for the Sciences, Pearson Thinking Metric, 2nd ed., Gilbert Using Graphs and Tables, Selby Geometry and Trigonometry for Calculus, Selby Quick Calculus, Kleppner BASIC, 2nd ed., Albrecht BASIC for Home Computers, Albrecht ANS COBOL, 2nd ed., Ashley Structured COBOL, Ashley Fortran IV, Friedmann, Greenberg & Hoffberg ATARI BASIC, Albrecht TRS-80 BASIC, Albrecht Job Control Language, Ashley Flowcharting, Stern Introduction to Data Processing, 2nd ed., Harris Background Math for a Computer World, Ashley Probability, Koosis Statistics, 2nd ed., Koosis Finite Mathematics, Rothenberg Practical Algebra, Selby Quick Arithmetic, Carman Math Shortcuts, Locke Study Skills: A Student’s Guide for Survival, Carman Psychological Research: How to Do It, Quirk Psychology of Learning, Royer Choosing Success: TA on the Job, Jongeward Successful Time Management, Ferner Communication for Problem Solving, Curtis Skills for Effective Communication, Becvar Clear Writing, Gilbert Punctuation, Markgraf Vocabulary for Adults, Romine Spelling for Adults, Ryan Reading Skills, Adams Art: As You See It, Bell Your Library —What’s in It for You? Lolley Quickhand, Grossman Quick Typing, Grossman Consumer Math, Locke ... Read more

Customer Reviews (14)

5-0 out of 5 stars Great book!
I bought this book as a `running start'and refresher for college level math classes. The book was very easy to follow and, as a person who is NOT math savvy in any way, was never fustrated or confused.Thiswas a great book and recommend it to anyone. I would have bought the book new Vs used had I known there were so many opportunities to work the problems in the book. With the problems already worked out the challenge wasn't there BUT was found helpful when I was stuck.

4-0 out of 5 stars Calculus prep - or Precalc review
This particular calculus study guide is clearly oriented for those whom are considering engineering or science related fields as business calculus will have less of a need of geometry and trigonometry. For those whom are interested in engineering/science fields and struggled a bit in geometry or trig, then this text can be a great support to have by your side during your precalc class OR for self-study/review after precalc and before calculus.

Indeed, there are several circumstances in which this self-study text can be used.

1) If you are in precalculus and struggling and wondering what parts are really important for calculus next year/semester.

2) If you took precalculus last year/semester and want a study guide (besides your old textbook) to get ready for Calculus.Indeed, for high school students this may be a great summer book to work through after precalc to assure you're ready for Calculus.

3) If you took precalc many years ago and want a refresher, or even if you took Calculus 1 many years ago and want to review the prerequisites prior to refreshing your calculus.

There is a final chapter on Limits which will be covered in the start of Calculus 1 and which can probably be skipped. There is a stronger emphasis on "focus" and "foci" than in many precalc books so this may make some students think, "Why didn't my teacher cover this?" Also, there's a trig table... just remember the book was originally published in 1975 and so a couple of emphases are now slightly different but overall the value of the text remains high as a supplement.

5-0 out of 5 stars READ HERE FOR DETAILS
This book is excellent. I don't believe that I can find anything wrong with this book.

Some readers are saying that this book has too small of a font, or that the binding is loose, or that the book offers little in explanations to the awnsers for the practice problems. These are simply false. The font is a size twelve by most computer's standard font, if you can't see that small get glasses. If some books are falling apart stop throwing them or bending the spine. The explanation part is true in that the book doesn'tsay things like "the reason this is the awnser is..." However, I feel that the explanation of how geometry works and what it's rules are, is sufficient for the reader to analyse why the awnser is what it is. If you cannot do this it may be adviseable to bring the problem in question to a friend or teacher knowledgeable in geometry (I mean this in the kindest of manners).

Over all the book is clear and quick to the point. Some people may find it a bit dry in that there is no humor really or any stories, strictly instructional. Some may find it difficult to remember things this way or to read a book written in such a manner.

This book is written so that a reader who has no knowledge about geometry can understand it.

Overall a five star book and worth the price and then some.

(Please forgive anything mispelled I didn't have time to check this review.)

1-0 out of 5 stars good as a companion only
If you want to test your knowledge of geometry and trig after reading another text book, this is good.However, this is not a standalone book.It offers problems and answers, but very little in examples and explanations of why.

Unless you want a refresher, I'd go somwhere else, maybe a dummies or idiots guide instead.

2-0 out of 5 stars There aren't enough exercises..
The best and most enjoyable way to learn math is through practice, and although Peter H. Selby articulately explains the concepts presented in this book, there just aren't enough exercises for you to "teach yourself" the subject.A given section on plane geometry will give you about 15 abstract principles followed by 5 easy practice exercises.I have learned from this book, but in order to do so, I've had to make flashcards and do lots and lots of rereading to help me memorize the vocabulary and rules.This book would be okay for someone who just needs a quick refresher, but if you really want to learn the material, I would suggest buying separate 350-400 page books for each subject. ... Read more


66. Euclid's Window : The Story of Geometry from Parallel Lines to Hyperspace
by Leonard Mlodinow
Paperback: 320 Pages (2002-04-09)
list price: US$15.00 -- used & new: US$6.43
(price subject to change: see help)
Asin: 0684865246
Average Customer Review: 4.0 out of 5 stars
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Product Description

Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.

Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.Amazon.com Review
"How do you know where you are?" asks Leonard Mlodinow in his charmingmathematical history, Euclid's Window. This question and othersabout space and time grew out of simple observations of the environment bya select group of thinkers whose lives and brains Mlodinow dissects.Starting with Euclid, geometry has flowed out over the centuries,describing the universe, and, Mlodinow argues, making modern civilizationpossible.

This is not just a history of geometry--it's a timeline of reason andabstraction, with all the major players present: Euclid, Descartes, Gauss,Einstein, and Witten, each represented by a minibiography.

Lots of examples pepper the narrative to help readers achieve their own"eureka!" And it's impossible not to be staggered at the mathematical featsof these geniuses, accomplished as many of them were in the absence ofanything but observation and intense thought. Each story buildssatisfactorily on the last, until at the end of this delightful book, onehas a sense of having climbed a peak of understanding.

A working knowledge of basic geometry is helpful but not essential forenjoying Euclid's Window, and Mlodinow's chatty style lends itselfremarkably well to explaining these deep and revolutionary concepts.--Adam Fisher ... Read more

Customer Reviews (57)

4-0 out of 5 stars Entertaining Book, Though Most of Its Coverage Isn't Unique
I was given this book as a gift, and after having it sit on my shelf for a long time, I finally read it. Or at least most of it (I'll explain later).

As with most pleasure books that are ostensibly about math, this one is really a combination of math, physics, history and a touch of philosophy. Although the title implies that it's about geometry, the book actually discusses a broad range of topics from ancient Greek philosophers, astronomy, Des Cartes and his coordinate system, Maxwell's equations, Einstein and his theories of relativity, and string theory to name only a few.

One of the things I like about this book is that it actually discusses concepts in non-Euclidean and how they apply to real life (e.g. cartography). Non-Euclidean geometry is something that seems to be very seldom discussed in laymen circles. Unfortunately, this book didn't discuss it enough. And other than this one topic, the book doesn't have anything really unique to discuss. That's not to say the read was boring, but why write about topics other authors have extensively discussed already?

Some last comments: the writing style is good (you'll probably laugh at least a couple times). There are a few egregious typos.
And why did I rate this book 4 stars instead of 5? Because it spends the last few pages discussing string theory. I personally think string theory is garbage, hence I didn't bother to read that part.

4-0 out of 5 stars Biographical history of particle physics
"Euclid's Window" traces the roots of particle physics, from the initial geometric work of the ancient Greeks, to Descartes attaching algebra to geometry, to Gauss and Riemann realizing that space need not be flat, to Einstein applying these ideas in the theories of relativity, to the particle physics and string theory as we know it today. These are just a few of the mathematicians and scientists discussed. The book is not a history of geometry as the subtitle suggests, as Mlodinow only takes the parts that are relevant to the current physics-based explanation of the world (membrane theory) and the quest for a grand unified theory and how geometry fits into it. The story along the way is very engaging and entertaining, revealing both the life and times of the people that invented the various theories we use today, as well as lucidly explaining the theories themselves (even string theory). I highly recommend the book for both entertainment value and educational value, though I must qualify this statement: Mlodinow makes a few blunders along the way with dates, fills in some details with his own imagination, and interjects his opinion quite frequently. You might walk away from the book thinking that Ed Witten is the next Einstein (not to discredit Professor Witten, as he has made very important contributions). Mlodinow most noticeably leaves out contributions from the ancient Indians and Chinese, and only briefly mentions the Arabs- basically taking a very Europe- and American-centric point of view...take it or leave it, but I can't help but agree that these are the people that took us from the parallel postulate to quarks, gravitons, and so on. Historical context is cherry-picked to support the anti-Christian and anti-antisemite (basically pro-Jewish) opinions of the author, which isn't to say the points aren't valid. As you will discover in reading the book, Christianity killed (literally) the ancient Greek science, and has impeded the return of logical thought and science ever since.

So we don't have complete historic rigor here- I say who cares. Mlodinow has written a story with few geometric sketches and even fewer equations, not a textbook. If you want the usual dry history of "and on April 12, 1652, Hermann von German discovered this phenomena while rowing a boat across a lake," or page after page of equations, then I'm sure there are many other books out there to satisfy your needs. So, take the finer points with a grain of salt (if it sounds too good to be true, it probably is- except for C.F. Gauss) and enjoy the ride of learning about the people behind the math and physics. This is still a great book that I would recommend to those interested in math and/or physics.

5-0 out of 5 stars fabulous!
this is the only history book I have ever liked. great stuff if you like physics or geometry

5-0 out of 5 stars "The book of nature is written in mathematics" Galileo
"The book of nature is written in mathematics."Galileo

If writing around 1632 Galileo was right that the book of nature is written mathematics then Leonard Mlodinow's book is a kind of Cliff's Notes version.

Mlodinow is a highly experienced writer who collaborated with Oxford's Stephen Hawking when they wrote A Briefer History of Time and his understanding of the material as well as his ability to write accessibly both abound in this work which traces mathematics from the time of Euclid to its present place of prominence on the frontlines of string theory.

Along the way, Mlodinow gives biographies of some of the critical figures like Euclid himself, Descartes, Gauss, Einstein and finally Ed Witten...interestingly enough who works out of the same Institute for Advanced Study that Einstein worked out of in the years prior to his demise.

What makes the study so fascinating is that it tracks a body of study...mathematics...which endeavors to describe reality.In the beginning the story started with Euclid and his fifth postulate...the assertion that parallel lines don't meet.

While it's true that Euclid's postulate produced a self consistent mathematical system, it's also true that eventually (and by eventually I mean like over two thousand years later) it was discovered that you can create yet another self consistent mathematical system which says that parallel lines do meet.

In other words, Euclid created a ruler which is great for measuring flat spaces but later mathematicians in collaborative effort created a special bendable ruler which can measure curved spaces...like a ball.

The significance of this later discovery was made all too obvious when Albert Einstein asserted that gravity bends space...making it more curved and less flat.

So as can be seen the story here is an important one which tells us nothing less than the true emerging story of the universe in which we live and its origins.

5-0 out of 5 stars Euclid's Window - A highly enjoyable walk through the Math Timeline!
Having a lifelong interest in 2 and 3D "geometry", this walk down memory lane into the future of mathematical theory and application was most informative,enlightening and a learning experience. Being introduced to many personalities old and new such as Edward Witten was a real treat!Mlodinow's approach caused me to think and ponder and his humorous style and personal experiences kept me very interested! I cannot wait to finish "The Drunkard's Walk". ... Read more


67. Geometry, Student Edition
by Glencoe McGraw-Hill
Hardcover: 420 Pages (2009-01-07)
list price: US$99.96 -- used & new: US$97.99
(price subject to change: see help)
Asin: 0078884845
Average Customer Review: 4.0 out of 5 stars
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Product Description
ENGAGING MATHEMATICS, SUPPORTING ALL LEARNERS, DELIVERING THE CONTENT NEEDED TO MEET TODAY’S STANDARDS

Glencoe Geometry delivers the depth of content required to meet the new changes in your state’s standards; provides relevant applications for teens; unique instructional resources for teachers; and is available in print, online, and on CD-ROM or DVD formats. ... Read more

Customer Reviews (1)

4-0 out of 5 stars I ordered the wrong book
Thank you for taking it back and crediting my acct so promptly. You did right by me. ... Read more


68. MP Basic Mathematical Skills with Geometry (The Streeter Series)
by Donald Hutchison, Stefan Baratto, Barry Bergman
Paperback: 912 Pages (2006-11-13)
-- used & new: US$19.99
(price subject to change: see help)
Asin: 0073309591
Average Customer Review: 4.0 out of 5 stars
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Editorial Review

Product Description
Basic Mathematical Skills with Geometry, 7/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics.The seventh edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage onmastering math through practice.This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic mathematical skills and put the content in context.The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student’s skills in relating to mathematics. The book is designed for a one-semester basic math course and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone. ... Read more

Customer Reviews (9)

5-0 out of 5 stars Great price!!
This is exactly the book I needed for college and I received it in good condition. Fast shipping and great price!!!I've ordered in the past from Amazon and have always received excellent service. No problems here.

5-0 out of 5 stars Basic Mathematical Skills with Geometry
This was the frist time that I have order a book from this site. I was afraid at frist but when the book came I was very pleased.The description was very clear and true to what it said about the book. I will be ordering more books in the future.I am going to college and I will need more books. The price was excellent and the book was in excellent condition.

Thank you
Sharon D

5-0 out of 5 stars GREAT SERVICE A++++
Fast Shipping and book was is great condition when it arrived. Exactly what I ordered. A++++

5-0 out of 5 stars expensive school books
I am not sure how this person ended up with a book still in plastic, but I am a person that cannot do my online classed with online books (gives me a headache to stare at the screen that long). So getting my books online for a very good price has really helped my budget and my eyestrain. The book showed up in plenty of time for my class, thank you.

5-0 out of 5 stars Basic Math Skills with Geometry
This is the book I need for my other class. Although it is the basic math, it refreshes my math skills as far as going back to elementay school. ... Read more


69. Riemannian Geometry (Graduate Texts in Mathematics)
by Peter Petersen
Paperback: 408 Pages (2010-11-02)
list price: US$64.95 -- used & new: US$45.00
(price subject to change: see help)
Asin: 1441921230
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This volume introduces techniques and theorems of Riemannian geometry, and opens the way to advanced topics. The text combines the geometric parts of Riemannian geometry with analytic aspects of the theory, and reviews recent research. The updated second edition includes a new coordinate-free formula that is easily remembered (the Koszul formula in disguise); an expanded number of coordinate calculations of connection and curvature; general fomulas for curvature on Lie Groups and submersions; variational calculus integrated into the text, allowing for an early treatment of the Sphere theorem using a forgotten proof by Berger; recent results regarding manifolds with positive curvature.

... Read more

70. Fundamental Concepts of Geometry (Addison-Wesley Mathematics Series.)
by Bruce E. Meserve
Paperback: 352 Pages (2010-07-21)
list price: US$11.95 -- used & new: US$9.54
(price subject to change: see help)
Asin: 0486634159
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Editorial Review

Product Description
Demonstrates in a clear and lucid manner the relationships between several types of geometry. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Preface. Index. Bibliography. Exercises (no solutions). 98 illustrations.
... Read more


71. Ace's Geometry Exambusters Study Cards (Ace's Exambusters)
by Ace Academics Inc
Cards: 384 Pages (2008-06-01)
list price: US$12.95 -- used & new: US$6.99
(price subject to change: see help)
Asin: 1881374904
Average Customer Review: 4.5 out of 5 stars
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Editorial Review

Product Description
EXAMBUSTERS Study Cards printed/boxed or on CD-Rom are specifically designed for exam preparation: AP, PSAT, New SAT, SAT II, ACT, PRAXIS, PPSAT, New GRE, GED, New GMAT, New MCAT, CLEP, ASVAB, New York State Regents, HSPT, COOP, SSAT, ISEE, and classroom quizzes, tests, and finals. Each EXAMBUSTERS Study Card title provides a concise, focused review of course material. Only essential facts and formulas are presented. We cover many introductory high school and college courses, and our titles are approved by the New York City Board of Education.

Why are Study Cards the best way to learn?
Because we learn most effectively when we can:
---absorb information in small, progressive increments.
---take an active part in the process
---receive immediate feedback (the answer is shown as soon as we fill in the blank)

Who wrote the cards?
High school teachers, test prep coaches, language experts, professional interpreters and translators, and college professors, with a focus on preparing students for standardized tests such as the AP, New SAT, SAT II, PRAXIS, GRE, GED, GMAT, MCAT, ACT, CLEP, and many others. Each Course in a Box or Course on CD-Rom covers the basics of a full year introductory course. EXAMBUSTERS Study Cards focus only on essential facts, definitions, and formulas. The flash cards were designed to help students learn and review courses efficiently.

What is the advantage of flash card study over textbooks and review books?
---Parents, tutors, and teachers can work together with students. Perfect for home schooling!
---Groups of students can have fun turning a study session into a trivia game.
---Portable: Learn a few each day. A sense of accomplishment grows as your stack of I have no idea! decreases, and the stack of I know the answer! increases.

Who has benefitted from our study cards?
* high school and college students
* head start oriented grade school students
* parents and grandparents concerned about their children's education
* teachers (for classroom, small group activities)
* tutors (for one-on-one teaching)
* business travelers and tourists


What is special about EXAMBUSTERS Study Cards on CD-Rom?
Cutting edge. . . the only series of its kind. User-friendly software--simple for all ages to explore. Study cards are displayed on the screen, one at a time, and can be eliminated from the stack just like printed cards. Our Screensaver Mode displays a new question and answer every few seconds in random order. Learn subliminally! Finally, our test mode randomly selects questions to create a quiz, mid-term, or final--your choice--a new test every time. The EXAMBUSTERS software program keeps track of the test time limit and grades you at test completion. Grades are stored in a table on the help menu so you can track your progress.

What are the computer system requirements for EXAMBUSTERS Study Cards on CD-Rom?
At least 500 MHZ processor, Intel Pentium II (or equivalent), 128 MB of RAM, 400 MB of disk space. Microsoft Windows XP or VISTA operating system, 2x CD-ROM drive, 256-color SVGA monitor: minimum resolution 800 x 600. Not compatible with Macintosh. ... Read more

Customer Reviews (11)

3-0 out of 5 stars Slips of paper
I have no complaint with the content, but just note, these are not "cards" but slips of paper.

4-0 out of 5 stars CLASSROOM AID -- Liked the software.
My students love them. We use them in class for group study and a jeopardy/trivia game. They're good review before finals and good preview for upcoming lessons. Exambusters cover the basics in an unconfusing format. In our learning center, we use the software. It's easy to figure out. Just click around and all the functions are clear. Students can remove cards they know or don't need from a virtual stack of cards, the same as if they had index cards printed. The screensaver helped with vocabulary study especially. The computer test was different each time and no matter how many times it was taken. There are three lengths to choose from, quiz, mid-term, and final.

5-0 out of 5 stars Good Reinforcement
Try these first to review math and/or vocabulary you haven't seen for awhile. Just the basics are presented and I found I already knew some of the answers, but other times, the cards filled in the gaps. That's what's good about flash cards, you can pull out the ones you don't need. Can't do that with a work book unless you want to rip out some pages and use a lot of white out!! The software and the cards were both helpful; the same information in two different forms. Thanks, Exambusters. You've covered it all and given me more confidence!

4-0 out of 5 stars USED CARDS WITH ALL MY CHILDREN
Helpful to my four children in junior high and high school. They have most courses and also the tests like SAT, SSAT, AP. Easy to use and fun (which is saying a lot when your kid would rather be out with friends than studying!)

5-0 out of 5 stars Focused studying. Photo sign language cards are helpful.
I've tried several courses: math, science, history and language. My kids especially love the Sign Language cards! I purchased all three card sets and the CD-software. The photographs are more realistic than drawings which you mostly find in ASL products. Great for younger kids too. My daughter's using them in her Brownie troupe and my three-year-old has picked up on some of the alphabet and numbers already. My older son has some mild learning disabilities and looking at a page in a book with so much information all together makes him nervous. I put one card at a time on a cleared table. It helps him focus and that gives him more confidence. People have been making or using flash cards forever, and I think they always will be no matter how fancy computers and software gets (but the Exambusters software is good too). I've recommended them to others. ... Read more


72. California Geometry
by Laurie E. Bass, Randall I. Charles, Basia Hall
Hardcover: 888 Pages (2007-06-30)
list price: US$95.85 -- used & new: US$86.29
(price subject to change: see help)
Asin: 0132031221
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73. Geometry
by James E. Schultz, Kathleen A. Hollowell, Wade Ellis Jr., Paul A. Kennedy
Hardcover: 951 Pages (2002-04)
list price: US$98.60 -- used & new: US$39.95
(price subject to change: see help)
Asin: 003066053X
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74. The Geometry of Physics: An Introduction, Second Edition
by Theodore Frankel
Paperback: 720 Pages (2003-11-24)
list price: US$61.00 -- used & new: US$45.75
(price subject to change: see help)
Asin: 0521539277
Average Customer Review: 4.0 out of 5 stars
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Editorial Review

Product Description
Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms essential to a better understanding of classical and modern physics and engineering. Key highlights of his new edition are the inclusion of three new appendices that cover symmetries, quarks, and meson masses; representations and hyperelastic bodies; and orbits and Morse-Bott Theory in compact lie groups. Geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space.First Edition Hb (1997): 0-521-38334-XFirst Edition Pb (1999): 0-521-38753-1 ... Read more

Customer Reviews (18)

3-0 out of 5 stars could have been so much better
this is a damn hard book to understand. i am a theoretical physicist who already knows the stuff here and i find the explanations sometimes very confusing.it's not a simple book to read. you have to pay close attention to every line, and this is a major pain since the book is so big. also some sentences are very bloated. i know the author spent a lot of time on this book. but he should have gotten a better copy editor.

it has a lot going for it.the emphasis on physics is nice.but unless you have a lot of patience and haven't read any other books (so you don't confused about the unorthodox notation), this book may drive you crazy.

its really too bad, because this is the only book that i know of which tries to really "explain" bundles in a non-pedantic way.unfortunately, it is not that successful. (the part on bundles is perhaps the most transparent and easiest part of the book though).

if you have patience and are willing to decipher some of the prose which is ambiguous, or difficult to understand because there are like 5 commas in a single sentence, then this is absolutely a 5 STAR book.the material is wonderful, and there is an enormous amount of insight shared.

otherwise, if you are a typical math guy (like me) you are probably better off going with a thinner and more mathematical book like Darling's differential geometry book or Morita's book or the new book on differential geometry by Tu.

it is of course an alternative to Nakahara.but Nakahara isn't a proper textbook.it's a collection of examples. in summary, despite the book's flaws, i have not seen anyone write a better story in a single volume of how to combine math and physics at an "elementary" level than Frankel.

5-0 out of 5 stars Fantastic - for the scientist
A very good book: buy it. But only if you are a scientist or student of physics/mathematics. This is not popular-science-common-public level.

5-0 out of 5 stars a book worth keeping
This book can be quite confusing if you start without any background on the idea of manifold or knows nothing about general relativity. However, it does have strong points:

1. The notation is very up-to-date, and is entirely coordinate-independant approach.

2. The author explains in great details of formulation of modern differential geometry, and the details are comparatively lacking in other reference books.

3. The author never hesitate to use graphs and diagrams to illustrate points, and stroke nice balance in between mathematics rigor and physical insight.

Although it appears quite verbose at some point, it is mainly because differential geometry is such a heavy subject. Another book nice to have as companion reading is Goldburg's "Tensor analysis on Manifold", a terse, well-written text book.

5-0 out of 5 stars Phenomenal
I just finished reading this book and I found it phenomenal. The physical ideas are made very clear in a natural mathematical framework.

5-0 out of 5 stars You should buy this, despite its flaws
The other reviews on this page give this book anywhere from 1 to 5 stars, and they are all correct in their own way. The book is inspired, deep and full of physics applications and insights. On the other hand, it skims over mathematical rigor to a large degree and focuses more on defining things, getting a feel for them and moving on to application.

My advice: buy the book for its strengths, and read other books in parallel if you need more rigor. But still, buy it.

Also, things can be confusing on the first two or three reads, but keep at it and you will be glad you did. ... Read more


75. Multiple View Geometry in Computer Vision
by Richard Hartley, Andrew Zisserman
Paperback: 672 Pages (2004-04-19)
list price: US$100.00 -- used & new: US$74.99
(price subject to change: see help)
Asin: 0521540518
Average Customer Review: 4.0 out of 5 stars
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Editorial Review

Product Description
A basic problem in computer vision is to understand the structure of a real world scene. This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive background material and explain how to apply the methods and implement the algorithms.First Edition HB (2000): 0-521-62304-9 ... Read more

Customer Reviews (10)

4-0 out of 5 stars Good book, but....
Great book in this subject. The good things are...
- Clear theoritical introductionwhich many books miss to add
- Great appendixes about some mathematical theories necessary to understand this book
- Great organizaion of book chapters and coherent topics for each
- Bonus: Chapters for estimating hemographies and the math behind that
I cannot see any cons of the boox except that there is no clear road map to go into specific topic. For example, I am interested in multiple view geometry only (Trifocal tensor and above), I cannot figure out what I should read and what I can skip. I have to figure my way through.
After all, the best in the subject. Recommended.

4-0 out of 5 stars SH*** happens....
There was a failure in the delivery, the mailman gave the package to someone else. I have no way to be refund by post Canada. I did order the book once again and i received it.

4-0 out of 5 stars Good on the explanations of the theory
This book is very complete and rigorous in its explanations of the theory. However, I just think I like the approach in An Invitation to 3-D Vision a bit better. This book is better illustrated than that one and is more careful in its explanations, but this book just seems more focused on providing complete proofs than giving you a feel for how you would approach a real problem. Even the exercises are more along the lines of proofs. I like how An Invitation to 3-D Vision ends the book with a complete example. In all fairness, though, this book does have quite a bit of Matlab code on its website.

The book begins with some background material on 2D and 3D geometry. Then the author explains single-view geometry and how cameras map an image in 3D space to an image. Two-view geometry is next, with the author describing the epipolar geometry of two cameras ahd projective reconstruction from resulting image map correspondences. Part three of the book extends ideas to three cameras and the resulting trifocal geometry. The final section of the book takes the algorithms of the book to N views. Thus this book has a simple and straightforward structure that belies the complexity of the material.

If you are really researching this subject you should probably have this book for explanation, illustrations, and rigor, and the Invitation book for enlightenment through a good example-based approach. You should also have Introductory Techniques for 3-D Computer Vision as a text on the individual pieces of algorithms involved in 3D vision. And don't even think about getting into this subject unless you already have a firm foundation in linear algebra, image processing, and computer vision in general as found in Computer Vision, which is my favorite introductory computer vision text.

1-0 out of 5 stars Missing a chapter
I received the fourth printing a few weeks ago.It is missing pages 177-208.That includes all of chapter seven, on camera calibration.Ridiculous.

4-0 out of 5 stars Valuable and full of useful content
I find the book very useful, it is full of practically useful content. Formulas, theorems, lots of examples and illustrations.Overall very easy to read and understand, though requires you to recall your forgotten mathematical skills. The book does present what it claims on the first pages, so read the abstract and judge for yourself if you need the book.For my purposes, I found it to contain all the material I needed to perform certain image photo transformations and compositions. There is also lots of reference material, in terms definitions, formulas and theorems with proofs.And it's good to have it all in one place.

Overall I would say it is worth the money. ... Read more


76. Famous Problems of Geometry and How to Solve Them (Dover books explaining science)
by Benjamin Bold
Paperback: 128 Pages (1982-03-01)
list price: US$6.95 -- used & new: US$3.33
(price subject to change: see help)
Asin: 0486242978
Average Customer Review: 4.5 out of 5 stars
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Editorial Review

Product Description
Each chapter devoted to single type of problem with accompanying commentary and set of practice problems. Amateur puzzlists, students of mathematics and geometry will enjoy this rare opportunity to match wits with civilization’s great mathematicians and witness the invention of modern mathematics.
... Read more

Customer Reviews (3)

4-0 out of 5 stars Very Good for the interested reader
Although not reasonable for most high school students, this book does bring to light the background of modern geometry through its treatment of impossible and hard to solve problems.

Excellent background reading for a teacher!

4-0 out of 5 stars Classic problems of geometry made simple
The principles of geometry are both elegant and timeless. One cannot help but understand why the Greeks considered it a pinnacle of intellectual achievement. This book sets down several of the classic problems, explaining them in such a clear way that it is easy to forget that it sometimes took centuries of work before the problem was resolved. Of course, those who first toiled on the problems did not have some of the additional machinery that we so take for granted today.
The problems covered are trisecting an angle, squaring the circle, constructing regular polygons and constructing a cube whose volume is twice that of a given cube. The background needed to understand the problems and solutions is nothing more than a solid grounding in basic algebra and trigonometry. Calculus is mentioned, but not used. Problem sets are included in all chapters and solutions to all are in the back of the book. They are well-posed, solidly reinforcing the points made in the text.
This is a book that covers several thousand years of progress in geometry in a little over one hundred pages. It is done well and it can be used as a supplement in any course in geometry, from high school to college.

5-0 out of 5 stars Well done..
Bold has a gem of a book here.It's only a little bit over a hundred pages, but it's packed full of the great geometry problems that occupied the minds of the world's greatest thinkers for the past 2000 years.

Thetitle describes the book perfectly.These really are "Famous Problemsfrom Geometry" and he does indeed explain how to solve them.

Thebook has four major sections/chapters.He discusses in detail the threeproblems from antiquity (one section each):squaring a circle, doubling acube, and trisecting an angle.Furthermore, he spends significant timewith constructions of regular polygons (the fourth section) - which onescan be constructed and why. He also discusses which ones cannot beconstructed and why.

The reader will be expected to understand conceptsfrom Modern Algebra, particularly the concept of a Field.While Bold doesspend time explaining what a Field is, his definition is quick and isassumed to be more of a refresher for someone who has already learned aboutthem.Bold also has a section on Complex Numbers where he derives one ofthe formulas used later in the book.Again - this section is assumed to bea refresher on Complex Numbers.High School Geometry or Algebra studentswould have significant trouble understanding his explanations andproofs.

Bold provides problems for the reader to work along the way. These are problems that logically lead to the proof of the problem beingstudied.The problems are good.As a third year college student majoringin mathematics, I found the explanations/solutions to be sometimes hard tofollow.He assumes a great deal about the reader's level of proficiency inmath and in geometry.As a result, he liberally skips steps in proofs thatare assumed to be "obvious."

If you're expecting simple proofsto these problems, you're not going to find them.If they were simple,they wouldn't have taken 2000 years to solve.But they are explainedclearly here in terms that anyone with a college degree should be able tounderstand.

Overall, a superb book.A must have for anyone interestedin the famous problems from the history of Geometry. ... Read more


77. Janice VanCleave's Geometry for Every Kid: Easy Activities that Make Learning Geometry Fun (Science for Every Kid Series)
by Janice VanCleave
Paperback: 240 Pages (1994-07)
list price: US$12.95 -- used & new: US$5.99
(price subject to change: see help)
Asin: 0471311413
Average Customer Review: 5.0 out of 5 stars
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Product Description
How do you fold a sheet of paper into the shape of a whale? How do you measure the area of a pizza pie? How can you draw a circle within a circle without lifting your pencil from the paper?

Now you can discover the answers to these and other fascinating questions about elementary geometry—the study of shapes. Packed with illustrations, Geometry for Every Kid uses simple problems and activities to teach about acute and obtuse angles, parallel and perpendicular lines, plane and space figures, and much more! By arranging the pieces of an intriguing Chinese puzzle called a tangram, you'll explore all the different shapes you can form. You'll also learn how to create a colorful 3-D drawing that seems to rise right off the page! And, by building a geoboard, you'll discover a quick, fun way to compare the area of different geometric figures.

Each of the activities is broken down into its purpose, a list of materials, step-by-step instructions, expected results, and an easy to understand explanation. Every project has been pretested and can be performed safely and inexpensively in the classroom or at home.

Also available in this series from Janice VanCleave:

  • ASTRONOMY FOR EVERY KID
  • BIOLOGY FOR EVERY KID
  • CHEMISTRY FOR EVERY KID
  • DINOSAURS FOR EVERY KID
  • EARTH SCIENCE FOR EVERY KID
  • GEOGRAPHY FOR EVERY KID
  • THE HUMAN BODY FOR EVERY KID
  • MATH FOR EVERY KID
  • PHYSICS FOR EVERY KID
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Customer Reviews (4)

5-0 out of 5 stars Janice VanCleave's Geometry for Every KId
I just love this book. It's not only Geometry for every kid, it's really helpful for adults as well.

5-0 out of 5 stars Janice VanCleave's Geometry for Every Kid
This is a great book. It is offers a variety of activities that not only teach geometric concepts, but are also fun!

5-0 out of 5 stars Great fun with my eight year old!
I bought this for my son who loves math and building things. We've only gone through four chapters so far, but we've had great fun identifying how many right angles there are in his room and folding a oragami whale. This book was a real treat for him. Parents of gifted children should dive into this whole series with their kids, and I think they're great for teaching any kid that math is fun!

5-0 out of 5 stars Janice VanCleave has done a great job as usual !!!!!
Her books teaches geometry using hand-on activities for all grade levels which children love.It teaches form the basics of geometry to the advancements. Teachers and students will both find this book interesting ... Read more


78. Schaum's Outline of Geometry
by Barnett Rich
Paperback: 367 Pages (1999-12-06)
list price: US$17.95 -- used & new: US$7.99
(price subject to change: see help)
Asin: 0070527660
Average Customer Review: 3.5 out of 5 stars
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Editorial Review

Product Description
Three million high school students and 172, 000 college students enroll in geometry classes every year. Schaum's Outline of Geometry, Third Edition, is fully updated to reflect the many changes in geometry curriculum, including new terminology and notation and a new chapter on how to use the graphing calculator. ... Read more

Customer Reviews (12)

2-0 out of 5 stars Good review of concepts - Poor Editing!
I am using this book as a refresher while studying for an upcoming qualification exam. In just the opening chapters covering Algebra review, I was appalled at the number of errors made. These are not typographical errors as is the case where the book says that something weighs "11 km", but flagrant syntactical errors that produce a muddled understanding of the underlying concepts.

Luckily, I am still fresh enough with Algebra to catch these errors, however, I have to question their ability to clearly convey geometry material without confusion.

This is not to say that the text is a total wash, but I do expect a certain level of accuracy from outline materials such as this.

3-0 out of 5 stars Geometry review on schaum's outline
For the most part this book is great as a tutorial with ample exercises that provide critical thinking pertaining to proving triangles congruent and reasoing in general. Thats the way geometry should be taught critical thinking unlike most books that regurgitate and are watered down. Even though this book is modern, its not as great as plane geometry munro 1959, theres not ample exercises on tedious proofs. My favorite sections are proving quadrilaterals are parallelograms and areas of polygons because these problems force the individual (student) to think outside the box. For example, there are problems where circles are inscribed in circles, sectors inscribed in equilateral triangles, right triangles part of circles, etc.

The weakness is the fact that this book does not provide surface area of hexagonal prisms, polygonal pyramids involve apothems, radii, surface area of cones, no composite figures, just surface area of rectangular prisms and cubes, its the same like schaums outline for algebra in regards to this section and the same regarding reflections and translations. I therefore give this 3 stars because of some redundancies.

3-0 out of 5 stars Not horrible, not great...
I got this book as review of basic geometry.Mostly because they never made a Forgotten Geometry text.It's really not bad.It covers quite a bit of ground, from simple geometry to a taste of analytical and transformational geometry.

Conversely, this book didn't wow me either.It covers some basic algebra in the beginning, which is fine for the easier formulas like area and perimeter, but not nearly enough for a comprehensive study of geometry.One should study Schaum's outline of Intermediate Algebra or College Algebra, or a text of their choosing, before tackling any geometry.Especially if your preparing for a Calculus/Analytical Geometry Course.

I haven't found a good intro geometry book yet(I haven't even looked!), but when I do, I'll be sure to update this review.As always, good luck!

4-0 out of 5 stars Good for basic refresher
I bought this book as a recommended book for a masters Geometry class I was taking.While the concepts of my class were far more advanced than this book, the content of the book made remembering about the geometry and basics (probably good through hs geometry) more clear.I good book to take you through high school geometry.

2-0 out of 5 stars Caution - There are Mistakes
I bought this book to use with my daughter for added drill and review of Geometry and was shocked to find an inaccurate mathematical statement after the Commutative Law of Multiplication (3a X 5 = 5 X 2a = 10a) and three errors in the solutions provided to practice questions in the first eight pages.I haven't ventured further, but based on my experience thus far, I will need to review every example and problem for accuracy, something I hadn't planned to do and shouldn't need to do. ... Read more


79. Euclidean and Non-Euclidean Geometries: Development and History
by Marvin J. Greenberg
Hardcover: 637 Pages (2007-09-28)
-- used & new: US$54.48
(price subject to change: see help)
Asin: 0716799480
Average Customer Review: 4.5 out of 5 stars
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This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high school students. The first eight chapters are mostly accessible to any educated reader; the last two chapters and the two appendices contain more advanced material, such as the classification of motions, hyperbolic trigonometry, hyperbolic constructions, classification of Hilbert planes and an introduction to Riemannian geometry.

... Read more

Customer Reviews (18)

5-0 out of 5 stars Excellent examples
Finally, an understandable upper-level math text! Greenberg walks you step-by-step through the proofs of the foundation ideas for each chapter (with selected exceptions left as examples. However, these proceed predictably from other examples that do have full proofs). There are numerous exercises at the end of each chapter, typically professors will choose a handful that they find interesting or amusing and assign those. No answers are at the back of the book. The problems require proofs and I have yet to see a text that provides answers to proofs problems in the back. Anyhow, many problems have multiple approaches. I actually found this book easier to understand than the professor.

5-0 out of 5 stars an excellent and really untertaining book
There are already 16 reviews of this excellent and exciting book so i will only add that some people complained about the great number of results of the core text the reader is asked to search proofs as exercises. For a mathematically inclined reader this is not such a big trouble because most of these exercises have extended indications which math-inclined people can easily transform in a complete and sound proof. For myself i had almost no trouble with them (there is one exception with the section on axioms of beetwenness in chapter 3, i took the strategy of admitting the propositions of this section i could not prove as complementary axioms (these propositions are visualy obvious and easy to accept) so i proceeded further for the really interesting matters).
So the difficulty is only for people who did not have a mathematical training as college junior. Even in this casethey can learn a lot about the nature and purpose of pure mathematics and, if they are persistent and enduring, how to read and write mathematical proofs.
As a Frenchman i wonder why such a good book has not been translated in French, it really deserves it because books in French on geometry are so often unexciting and boring.

5-0 out of 5 stars Quintessential Work on Non-Euclidean Geometry
I had the pleasure of reading and studying the Second Edition of this text while in college.This course with this text was my favorite course during all of my undergraduate math courses.

Being a fan of the subject, I was eager to see the new Fourth Edition of the text.The Fourth Edition is quite expanded from earlier editions, going past the wonderful main story of the Parallel Postulate - told better by Greenberg than any other author, IMHO - and diving into the different non-Euclidean geometries that "open one's eyes" by setting aside the "obvious axiom of a unique parallel". The last chapters are greatly enhanced, with a superb presentation of the issue of straightedge and compass constructions in the Hyperbolic plane.

This presentation of Non-Euclidean geometry is more serious than the "popularized" books on advanced mathematical topics.If you're looking for a "light, fun" reading of this topic, this is not the book for you.

I feel that the real power of the story of the maturing of intellectual thought, so brilliantly portrayed in the story of the Parallel Postulate, must be experienced, through the effort (and often hard work) of actually **doing** geometry, rather than just reading lightly about it. If you want to dive in and actual experience geometry (and the consequent rewards), then this is the book for you.The explanations are magnificent, the problems are wonderful (and, at times, very challenging), all culminating in the "wow!" of modifying the Euclidean way of thinking to a new and beautiful alternate geometrical universe.

As other reviewers have noted, this text reads like a great novel - a drama involving geometry.If PBS/Nova ever make a "What does Parallel mean anyway?" show, this text will be the basis for that show.

I believe this Fourth Edition can be considered the quintessential text on this topic, on which all future discussion of the topics can be based, including both the introductory materials, as well as moving to the forefront of research on many topics in Hyperbolic geometry.

For a university course, weaker students will find this text quite challenging, and possibly too hard.For average students, this text will provide sufficient challenge and interest, and ample areas in the text that will not overwhelm.For advanced students, this text will certainly challenge in many different directions and interests, both in the later chapter discussions, and various problems throughout.

Greenberg's writing is meticulous - you will never find an error, a comma out of place, nor a sentence that is not perfect.


5-0 out of 5 stars Euclidean and Non-Euclidean Geometries, Fourth Edition, by Marvin Jay Greenberg
The Fourth Edition of M.J. Greenberg's textbook is a wonderful addition to the geometry textbook literature. No praise could be higher than to say that it is even better--indeed, a good deal better--than the highly regarded earlier editions. There are important revisions to each of the chapters and appendices, some of them extensive. As Greenberg aptly notes: "this book is a resource for a wide variety of students, from the naive to the sophisticated, from the non-mathematical-but-educated to the mathematical wizards."In this reviewer's opinion, Greenberg's fourth edition along with the Robin Hartshorne's mathematically more technical Geometry: Euclid and Beyond (2000)--a text to which Greenberg repeatedly makes reference--are far and away the most informed, up-to-date, and historically and philosophically sensitive geometry texts on the market today. No one with an interest in the foundations of geometry can afford to be without copies of these two great works.

4-0 out of 5 stars A very good book about Geometry
This is a very good book about Euclidean and Non-Euclidean Geometries.
Well written, this book introduces to the lector in the historical context of the development of the Geometry.
I enjoyed very much.

Why is it so cheap, now (April, 2008) ?Because, this is the 3rd edition and exists a new 4th edition since September 28, 2007. ... Read more


80. Geometry Concepts and Skills - Teacher's Edition
by Ron Larson
Hardcover: Pages (2005-06-30)
list price: US$39.55
Isbn: 0618501584
Canada | United Kingdom | Germany | France | Japan
Editorial Review

Product Description
Teacher's Edition. This book has been written so that all students can understand geometry. The course focuses on the key topics that provide a strong foundation in the essentials of geometry. Lesson concepts are presented in a clear, straightforward manner, supported by frequent worked-out examples. The page format makes it easy for students to follow the flow of a lesson, and the vocabulary and visual tips in the margins help students learn how to read the text and diagrams. Checkpoint questions within lessons give students a way to check their understanding as they go along. The exercises for each lesson provide many opportunities to practice and maintain skills, as well as to apply concepts to real-world problems. ... Read more


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