Product Description
This textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields. There are comprehensive treatments of the role of absolute continuity, the evolution of the Riesz representation theorem to Radon measures and distribution theory, weak convergence of measures and the Dieudonné-Grothendieck theorem, modern differentiation theory, fractals and self-similarity, rearrangements and maximal functions, and surface and Hausdorff measures. There are hundreds of illuminating exercises, and extensive, focused appendices on functional and Fourier analysis. The presentation is ideal for the classroom, self-study, or professional reference. ... Read more

Product Description
Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering. The text presents the first elementary exposition of the gauge integral and offers a clear and thorough introduction to real numbers, developing topics in n-dimensions, and functions of several variables. Detailed treatments of Lagrange multipliers and the Kuhn-Tucker Theorem are also presented. The text concludes with coverage of important topics in abstract analysis, including the Stone-Weierstrass Theorem and the Banach Contraction Principle. ... Read more

Customer Reviews (2)

Correcting a mistake in my review...
In the place where it says that the Feynman-Kac formula is proven using gauge integration, please ignore it, because it's not true.

A unique introductory book on real analysis
So, we have another book on introductory real analysis. Yes, But this one has its own shine, keeping it apart from the classics (Rudin, Apostol, Bartle): It contains the first (and maybe the only) elementary expositionof the marvellous gauge integral. It's a clever and surprising extension ofthe definition of the Riemann integral, made by Kurzweil and Henstock inthe fifties, with the purpose of constructing a Riemann-type integral withall the properties of the Lebesgue integral, and recovering the originalspirit of Newton and Leibiniz (as far as primitives are concerned). McShanelater showed that this kind of integral totally supersedes the concept ofLebesgue integral and measure. The gauge integral also supersedes theimproper and Stieljes integrals, with the big pedagogical advantages of theRiemann integral.

However, the book form presentations of this integral(given mainly by its creators) are incomprehensible, period. On the otherhand, Depree/Swartz achieves the previously unfulfilled purpose of giving ahuman-readable presentation of the gauge integral. It uses it as the maintool for teaching integration, and this is great, because all the book isvery readable and down-to-earth. This book has other pearls, like his greatpresentation of differentiation in several variables (done with Frechet andGateaux derivatives in a very smooth and clear way, better than Lang), andgood topological stuff concerned with analysis as needed. It develops adifferent way of thinking about analysis, and all you need is a littlebasic calculus.

All things concerned, it's a first-class book thatdeserves to be read more and more. Gauge integration is a unfairlyforgotten tool, that can enlighten many unsolved problems in mathematics(constructive mathematical analysis) and physics (path integration, as seenfor example in the Feynman-Kac formula, proven using gauge integration), orsimply make people think about advanced integration and analysis in asimpler way. ... Read more

Product Description

Customer Reviews (19)

An okay introduction
This book is pretty clear for the most part.The authors present the material in a way that tempts readers to skip the proofs at the end of each chapter.For that, this book loses a star.

Dense but clear and concise
It takes a while to get through the explanations of the general topics, but they provide excellent examples in each section of the topics being discussed. The answers in the back of the book, however, are pretty bare boned and not entirely that useful for understanding what you did wrong.

Good book - lot's of mistakes
Most people taking a course like this use Rudin and this is a reasonable supplement but there is a good bit of errata that should be downloaded from the author's site.Pugh's "Real Mathematical Analysis" is an alternative.

Lovedit as a student and as a professor
This was my favorite book as an undergraduate student and I've taught from it as a professor.It is an excellent geometric approach to analysis.It can even help students who have difficulty with epsilon delta proofs understand the geometric intuition behind them.The construction of the real line at the beginning is daunting for students who aren't clear about set theory and sequences already but a few supplementary materials can help the students out there (see my webpage notes on real analysis for example).The proofs are hidden which makes it a challenge for students to try prove everything themsleves before peeking at them, but they are available.Just remember to tell your students where they are!

As a student I loved the book because it allowed me to learn everything on the metric space level while allowing students who prefer to stay in Euclidean space to do that.Now I am a metric geometer.

very helpful book
I am using this book to teach myself analysis. Because my mathematical background is limited, I cannot assess what the book is missing, or whether alternative methods of presentation would be more insightful. But in terms of clarity and comprehensibility, the book does very well. The authors write very carefully and are not cryptic; the proofs and examples are well-presented, and I rarely feel lost. The book is rigorous but not, let's say, snobbish. I am learning a lot from it. ... Read more

Product Description

This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration.

From the reviews: "This material can be gone over quickly by the really well-prepared reader, for it is one of the book’s pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it." --AMERICAN MATHEMATICAL SOCIETY

Customer Reviews (5)

Abeauty
I learned this material years ago but when I need to
look things up, this book has everything, well written.
For example the Taylor expansion with multinomial notation
is given here. The writer treats the undergraduate student's
intellect with respect. This is a serious book.

Just like every other Lang text
This book typifies Lang's style. If you enjoyed any of his other books you'll enjoy this too. Like seemingly all of his texts, it has a section on the inverse function theorem and makes quite a deal out of it. Overall, it is quite comprehensive, but there's little motivation for the proofs so things can be a bit boring. Both Rudin and Browder cover the same amout of material in far fewer pages, and they have better excerises too.

Solid, complete reference to basic analysis topics
Serge Lang's "Undergraduate Analysis" offers an impeccable selection of topics and exercises for the student wishing to broaden his/her knowledge of analysis. The proofs of theorems can be terse at times, but a hardworking student will gain much through a thorough reading of the text. Also, Lang concentrates many of his exercises on estimates, which is an art form that is slowly dying among undergraduates (and graduate students as well, sad to say). Many of his problems require only the triangle inequality (the basic tool of estimation) and ingenuity (and hard work) from the student. I would strongly recommend this text for anyone who wishes to fully understand and appreciate the results and techniques of basic real analysis.

okay
I personally don't care much for this book.It's too terse, and there are nowhere near enough examples.I have about 6 analysis books and this is the one I look in the least.It seems to cover a lot of stuff, but maybe too much-- it wouldve been better to focus more on some more elementary topics.For instance, he spends about one and a half pages introducing the derivative.So if you want a book that glosses over more elementary concepts and leans heavily toward a graduate level, this book's for you.At my school we were supposed to learn advanced calculus from this and it is not good for that at all.For advanced calc try robert stritchart's Way of Analysis (the best book on analysis I've ever read) and for analysis Intro to real analysis by kolmogrov (only 10 bucks or so and actually better than most books costing a 100)

Great intro to real analysis with logical format
Lang's book is an excellent introduction to real analysis that tries to build the reader's knowledge from the ground up.Lang starts with fundamental ideas from calculus and then proceeds in a logical way.Havingtaken Lang's course, for which this book was designed, it is clear to methat this book is a result of Lang's many years of experience teachingundergrads.I highly recommend this book to anyone who wants a solidfoundation in analysis. ... Read more

Product Description

Advanced Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Basic Real Analysis (available separately or together as a Set via the Related Links nearby), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics.

Key topics and features of Advanced Real Analysis:

* Develops Fourier analysis and functional analysis with an eye toward partial differential equations

* Includes chapters on Sturm–Liouville theory, compact self-adjoint operators, Euclidean Fourier analysis, topological vector spaces and distributions, compact and locally compact groups, and aspects of partial differential equations

* Contains chapters about analysis on manifolds and foundations of probability

* Proceeds from the particular to the general, often introducing examples well before a theory that incorporates them

* Includes many examples and nearly two hundred problems, and a separate 45-page section gives hints or complete solutions for most of the problems

* Incorporates, in the text and especially in the problems, material in which real analysis is used in algebra, in topology, in complex analysis, in probability, in differential geometry, and in applied mathematics of various kinds

Advanced Real Analysis requires of the reader a first course in measure theory, including an introduction to the Fourier transform and to Hilbert and Banach spaces. Some familiarity with complex analysis is helpful for certain chapters. The book is suitable as a text in graduate courses such as Fourier and functional analysis, modern analysis, and partial differential equations. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician.

Product Description

This text for courses in real analysis or advanced calculus is designed specifically to present advanced calculus topics within a framework that will help students more effectively write and analyze proofs. The authors' comprehensive yet accessible presentation for one- or two-term courses offers a balanced depth of topic coverage and mathematical rigor.

Instructors will appreciate the flexibility to adjust the material to their individual class requirements. Students will benefit from reinforcing pedagogy often omitted from texts at this level.

Product Description
The book offers an initiation into mathematical reasoning, and into the mathematician's mind-set and reflexes. Specifically, the fundamental operations of calculus--differentiation and integration of functions and the summation of infinite series--are built, with logical continuity (i.e., "rigor"), starting from the real number system. The first chapter sets down precise axioms for the real number system, from which all else is derived using the logical tools summarized in an Appendix. The discussion of the "fundamental theorem of calculus," the focal point of the book, especially thorough. The concluding chapter establishes a significant beachhead in the theory of the Lebesgue integral by elementary means. ... Read more

Product Description

Product Description
This is the second edition of the title originally published by Prentice Hall (Pearson) in 2001. Here is the reference information for the first edition:[TBB]Elementary Real Analysis, Brian S. Thomson, Judith B. Bruckner,Andrew M. Bruckner. Prentice-Hall, 2001, xv 735 pp. [ISBN 0-13-019075-61]The present title contains Chapters 1-8.The full version containing all of the chapters is also available as a trade paperback.A hypertexted PDF file of the entire text is available free for download on www.classicalrealanalysis.com.Chapter 1. Real NumbersChapter 2. SequencesChapter 3. Infinite sumsChapter 4. Sets of real numbersChapter 5. Continuous functionsChapter 6. More on continuous functions and setsChapter 7. DifferentiationChapter 8. The integral ... Read more

Customer Reviews (1)

I would recommend this book.
This book is perfect for my class. It got her in the exact condition it was suppose to. ... Read more

Product Description
The book gives an introduction to $p$-adic numbers from the point of view of number theory, topology, and analysis. Compared to other books on the subject, its novelty is both a particularly balanced approach to these three points of view and an emphasis on topics accessible to undergraduates. In addition, several topics from real analysis and elementary topology which are not usually covered in undergraduate courses (totally disconnected spaces and Cantor sets, points of discontinuity of maps and the Baire Category Theorem, surjectivity of isometries of compact metric spaces) are also included in the book. They will enhance the reader's understanding of real analysis and intertwine the real and $p$-adic contexts of the book. The book is based on an advanced undergraduate course given by the author. The choice of the topic was motivated by the internal beauty of the subject of $p$-adic analysis, an unusual one in the undergraduate curriculum, and abundant opportunities to compare it with its much more familiar real counterpart. The book includes a large number of exercises. Answers, hints, and solutions for most of them appear at the end of the book. Well written, with obvious care for the reader, the book can be successfully used in a topic course or for self-study. ... Read more

Customer Reviews (1)

Nice little library
It can be difficult as a new student in non-Archimedean analysis to reconcile the real analysis world with such a strange new world. All too often young mathematicians are assumed to understand what is referred to as elementary, only to stumble over the 'simple' and understand the theory. However, they remain unable to bridge the gap between the two and truly understand what is going on.This little text gives the reader a self contained comparison that allows the reader to use their knowledge of standard analysis to strengthen their pursuit of the non-Archimedean. ... Read more

Product Description

This book is an outline of the core material in the standard graduate-level real analysis course. It is intended as a resource for students in such a course as well as others who wish to learn or review the subject. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form.

Customer Reviews (1)

A book that will generally only be useful to the person needing a quick refresher
For reasons I cannot really explain, when I was reading this book the metaphor of an altered "Whack-A-Mole" game came to mind. The scenario is that it has been decided that a sequence of mathematical objects is to be covered and the author then goes down the list hitting each briefly with a segment of text from a mathematical word processor. With only 99 pages, a few of which are blank due to space at the end of the chapters, the author has the goal of developing a primer on real analysis. Given the depth and breadth of the subject, this is a daunting task, meaning that only the essentials can be covered and none in any real depth.
The chapter titles are:

*) Topology
*) Measure and Integration: Central Theory
*) Measure and Integration: Constructions and Special Examples
*) Rudiments of Functional Analysis
*) Function Spaces
*) Topics in Analysis on Euclidean Space

Key theorems are stated but even the most detailed proofs that appear are mere sketches and in most cases nothing in the way of proof is offered.
With little in the way of explanations, this would be a very hard book to learn from; only the most determined and capable could use it in isolation. Therefore, the best use of this book would be as a quick refresher, for example someone that has the opportunity to teach a course in advanced real analysis but is uncertain if they remember enough of the subject. A quick reading of this book would help them make the decision.
... Read more

Product Description
VolumeTwo contains Chapters 9-13 of Elementary Real Analysis, by Thomson, Bruckner and Bruckner.Originally published by Prentice Hall (Pearson) in 2001. This is the second corrected edition. Volume One and the full text are also available as trade paperbacks. All of our textbooks are available for FREE DOWNLOAD in versions for on-screen viewing. Information is at ClassicalRealAnalysis.com.Chapter 9.Sequences and Series of FunctionsChapter 10. Power SeriesChapter 11. Euclidean Space R^nChapter 12. Differentiation on R^nChapter 13. Metric Spaces. ... Read more

Product Description
From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471 ... Read more

Customer Reviews (10)

Solutions to problems and exercises
Springer have reprinted the original 1960s Wiley editions of "Introduction to Calculus and Analysis" volumes I and II by Courant and John in three new volumes under their "Classics in Mathematics" title: "Introduction to Calculus and Analysis I (pages 1-661)" (ISBN: 3-540-65058-X), "Introduction to Calculus and Analysis II/1, Chapters 1-4 (pages 1-542)" (ISBN: 3-540-66569-2), and "Introduction to Calculus and Analysis II/2, Chapters 5-8 (pages 543-954)" (ISBN: 3-540-66570-6).The back section of Volume II/2 (pages 821-939) has solutions to the exercises in both the books comprising volume II, that is "Introduction to Calculus and Analysis II/1" and "Introduction to Calculus and Analysis II/2".

Note that when Volume I of the original Courant and John "Introduction to Calculus and Analysis" was published in the 1960s by Wiley, an accompanying solutions manual for Volume I was prepared by Prof. Albert A. Blank.When Volume II was published by Wiley, Prof. Blank's solutions were incorporated into the back of Volume II (in other words, Volume II comes with the answers to the questions at the back of the book... or in the back of Volume II/2 in the case of this Springer "Classics in Mathematics" reprint.)However, the Springer reprint of Wiley's Volume I lacks solutions to the exercises in the textbook.

If you buy Volume I, do a check on the Internet for an old 1960s copy of Prof. Albert Blank's "Problems in Calculus and Analysis", which is the original solutions manual to Courant's Volume I.

An Excellent Book
This (and Vol. 2) are both really good books that anyone with an interest in mathematics should own.Is it as good as Apostol's two volumes (Tommy I and II)?No.Is it as good as Spivak's "Calculus"?No.But it is still very good because the exposition is wonderful.I own both volumes and am glad - but if you only want one Courant book, please buy "What is Mathematics".

a superb book
This is a rewrite of the great book by Courant, and it does justice to its origin.I prefer the somewhat more charming original book of Courant myself, but I have taught from this one too and learned something more.

Since the original Courant costs $120 for the 2 volume set, this volume at $33 is a bargain, so snap it up.This is 10 times as valuable as most current $130 calculus books.

More than an introduction
Those books (volumes 1-2) can be seen as a new edition of Courant's classical Differential and Integral Calculus, volumes 1-2 (that can still be used for general calculus courses). The first volume was written while Courant was still alive, and the second was postumous. I believe that they are the best work to start understanding analysis. Indeed, for the general scientist (as a physicist) it contains all the theory needed for any application. The book is not easy reading though. Much of the text can be understood on first reading, but there are pretty profound sections, mostly on the appendixes, that turn the book genuinely onto a book of analysis. The second volume requires some mathematical maturity, and I doubt whether it is suitable for beginners, but it is simply the best book of multivariate calculus that I know - and it is really difficult to think of a better presentation. Courant was a giant, and his concept of mathematics shines in every page of those books (although he did not see the publication of the second volume, his hand can be seen in every page). For the serious mathematician, a must-have. For the beginner, the best way to get in love. Courant and John don't lie, they give every proof and guide you most gently in this complicated garden called mathematics. I'd give it aleph stars if it was possible.

Superior as an introductory calculus text!
I don't use the word "superior" lightly, but this book definitely warrants it.Courant was a first rate teacher and mathematician, and his brilliance shows in his exposition.The main obstacle to some readers may be that Courant does not follow the "cookbook calculus" approach that seems so rampant today, but actually bothers to prove his results.He does, however, reserve most of the more difficult proofs for the appendices at the end of the chapter, which is most appreciated.

The result is an exciting read, yet rigorous.The reader is very well prepared for future courses in mathematical analysis, and even has a leg up on real analysis.While Courant's insistence on proof does mean that the student needs to have a basic grounding in proof methods, this is usually a standard part of the undergraduate curriclum.Courant rightly recognizes that calculus should be taught in a logical, yet rigorous presentation from the beginning.The absence of this in modern texts mean that students learn how to manipulate formulas, but have no idea what makes the results they are assuming true.The "mechanics" of calculus and analysis, the most crucial thing to be learn, is missed.

In particular, I enjoyed his presentation of integration *before* differentiation, which goes against the grain of basic calc texts, yet is historically and pedagogically correct.Integration actually paves the way for differentiation, and gives more motivation for the FTC.Most texts on real analysis work in that order anyway, as an understanding of Lebesgue measure and integration is crucial to understanding the process of differentiation.

In addition, I don't think I have ever before or since seen such a careful explanation of the theory of the logarithm or exponential functions.Again, the presentation makes it work, as just introducing the "exponential function", then a little later, the "log function" as the "inverse" of the exponential function is, to put it mildly, artificial and distasteful.The natural progression from the definite integral definition of the logarithm to the exponential function is displayed in its full glory.

In short, Courant manages to present some of the most crucial results of calculus and basic analysis without boring the reader to tears with arcane details, or worse, leaving the reader hanging on important theorems and ideas.This is a balance only a great mathematician could strike, and it is clear why this book remains a classic after almost 60 years.

Note: The second volume of this work covers the multivariable portion of calculus, and will be more difficult to follow without prior exposure to the subject.However, the introductions to the theory of matrices and the calculus of variations are very readable, and it is recommended that the reader take the time to peruse them.Also, don't miss the material on special functions, lightly touched on in the first volume, but explained in fuller detail in the second. ... Read more

Product Description
This book provides an introductory chapter containing background material aswell as a mini-overview of much of the course, making the book accessible to readers with variedbackgrounds. It uses a wealth of examples to introduce topics and to illustrate important concepts. KEYTOPICS: Explains the ideas behind developments and proofs — showing that proofs come notfrom “magical methods” but from natural processes. Introduces concepts in stages, and featuresapplications of abstract theorems to concrete settings — showing the power of an abstract approach inproblem solving. ... Read more

Customer Reviews (2)

Among the best math books I've ever read
I am not an analyst, but this book is fun to read.

This book does something that few others textbooks accomplish - it tells an interesting and compelling story.I didn't really understand measure until reading this book, which does a great job of laying out the various competing ideas of the time and how they evolved into the current notion.

Further - and perhaps most important for a math book - is that the proofs are very clear and complete.It's true that many important concepts are left as exercises, but those that are covered in the text are covered well.In contrast, I have suffered too many math texts that attempt to cover every important result but with only short, uninformative proofs (e.g. "Proof: By Radon-Nikodym and Corollary 2 of Theorem 5 QED").

I've seen a better book
I'm taking a course in Real Analysis and using this text. Several difficulties arise while reading this book. It's either because I'm a weak student, or the text itself. Here are some facts about the book:

1. Manytopics are covered.

2. A lot of important results have been left asexercises. And I really mean *many* !So, you need a guide (like ateacher).

Sometimes, if you want to satisfy fact 1, you need to have fact2. So, it's a compromise between losing some details and covering as manytopics as possible.I usually (if not almost always) find myself refering toanother text while reading this book....Definitely not for a beginner whowants to study by him/herself. ... Read more

Product Description

This text prepares readers for fluency with analytic ideas, such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. This book is designed to challenge advanced readers while encouraging and helping readers with weaker skills. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing readers the motivation behind the mathematics and enabling them to construct their own proofs.

Customer Reviews (17)

Worst "Analysis" Text book ever
This book is an insult to all the great Analysis text books out there. I am pretty sure Walter Rudin would turn in his grave when he sees this one. No rigor, poor exposition, poor organization, and worst of all, computational and routine exercises. In an Analysis text bookthese are surely a recipe for disaster. Go buy Rudin's PMA if you really want to start learning Mathematical Analysis. This book will do you no good.Run!. This book should be called Advanced computational Calculus. An introduction to Analysis my a**. And like one of the other reviewers said, if you can't handle the rigor and abstraction in RudinPrinciples of Mathematical Analysis, Third Edition (or the like), then you are not cut out to do Math at graduate level.

The following Text books are also very good (for a beginner Real Analysis course) .
Real Mathematical Analysis
The Way of Analysis, Revised Edition (Jones and Bartlett Books in Mathematics)
Basic Real Analysis and Advanced Real Analysis Set (Cornerstones)

Terrible Book
First of all the binding of the 3rd edition is horrible, and I barely used it. My class used this book for analysis 2, basically just using the second half of the book. The notation is horrible, there is almost no expository writing between the proofs and theorems. Often proofs are longer than they need to be, but others are extremely terse and skip key pieces of logic. For analysis 1 I loved Ross's Book "Elementary analysis: the theory of calculus", and I think analysis 2 would have been better off transitioning to Rudin as opposed to this book.

Everything Fine
The book arrived in a timely manner.I was pleased with the appearance and wear of the book.The description was right on, and I got what I expected.Thank you

Messy Layout, Messy Ideas
I used this for an undergraduate Analysis text for multivariate integration.

On the theory aspect, it was not entirely rigorous. Many fundamental ideas had to be found in asides randomly located in the text as "it can be shown" without justification. While this is true, when encountering the subject for the first time, the student might wish to at least have these facts readily available for reference, or explicitly included in the proofs. But worse, in the sections on vector calculus, the approach was explicitly non-rigorous, and any point requiring a rigorous explanation was relegated to "see Spivak's Calculus on Manifolds," a reference repeated several times throughout the later sections.

In terms of applications, there are plenty of computational examples and exercises. Unfortunately, the examples tend to be relatively easy compared with the exercises, and often rely on some trick which avoids the general principle to arrive at a quick solution. For instance, for parametrized curves, the examples involve things like connected line segments, while the exercises are much, much more complicated.

This attempt to balance rigor and applications unfortunately leaves the student confused and frustrated, not knowing the theoretical foundation or how to apply the results beyond toy problems. Just because a book has less rigor doesn't mean it's easier! It leaves the reader confused as to what rigorous proof even means, which is one of the key elements of introductory analysis classes.

That said, I haven't read the earlier chapters, and there may be something worthwhile inside them.

Terrible Book: Only buy it if your class forces you to
I am really sorry if your instructor has forced you to buy this book.Buy Mary Hart's Guide to Analysis in order to understand the material Guide to Analysis (Macmillan Mathematical Guides).It will get you through the first half of Wade, but sadly ends before the second half of Wade.Only use wade so that you have the assignment questions.

The author skips major sections of proofs necessary to understanding the material with a snide arrogance that is downright insulting to the student.It is astounding what tenured professors and coddled publishers can get away with these days. ... Read more

Product Description
This classic is the foundation on which technical analysis is built. ... Read more

Customer Reviews (7)

nice book for beginers
i think this book is just like a bible for the investers. you have to read it for understanding the basics.

Epic for its time
The ironic thing is, you couldn't tell it was written in 1932 or 2002 ..the techniques are identical to basic TA today , even the psychology section about cutting losses and trading with the trend sound familiar.Certainly revolutionary when it came out, it's somewhat dated now and a bit wordy.Anyone familiar with chart patterns - h&s, wedges, flags, triangles, trendlines will likely find nothing new in this book.Also, the explanations are a bit wordy ..though I suspect this was necessary when no one was familiar with it.I give it 3 stars for content and another for the fact that it was written in 1932.However, an advanced trader will find this book useless other than for sentimental curiosity.

Learn from the guy who taught Edwards and Magee
Finally available to the rest of the world, this classic is easily the best book on classical technical analysis available. Although it is more than 70 years old, the complete and descriptive discussions of how and why reversal and continuation patterns work are as valid now as they were then. Without Schabacker, there'd be no Edwards and Magee, Elliott, Murphy, or even Poser.

Chart reading, anyone?
So you want to learn on how to read charts... This is the one for you then! A little dense sometimes due toit's completeness on patterns, but it's all there, really. Won't teach you on how to make a trading system, but if you're into discretionery trading systems you'll love this one. I haven't found a reversal pattern that's not on these pages, and if you want to know about continuation patterns, they're all almost there too. I recommend this book for beginners as for experienced traders.

This is one of those books I keep next to my trading desk!

Technical Analysis' Pioneering Vision
Richard Schabacker, in this pioneering book, presents the art and science of technical analysis as an organized subject.

In 13 chapters, he discusses important reversal formations, minor reversal formations, major continuation formations, intermediate patterns and phenomena, trend line action, support and resistance levels, measuring rules and formations and trading tactics.

First published in 1932, the book gives equal weight to a formation's potential and its flaws and warts.Originally devised as a practical investment course, it still sparkles with application today.Despite today's modern computer methods of interpreting price and buying trends, an investor or trader must still master the basics and there is no finer place to begin than this former Forbes financial editor's ground-breaking work. ... Read more

Product Description
The subject of real analytic functions is one of the oldest in modern mathematics and is the wellspring of the theory of analysis, both real and complex. To date, there is no comprehensive book on the subject, yet the tools of the theory are widely used by mathematicians today.

Key topics in the theory of real analytic functions that are covered in this text and are rather difficult to pry out of the literature include: the real analytic implicit function theorem, resolution of singularities, the FBI transform, semi-analytic sets, Faà di Bruno's formula and its applications, zero sets of real analytic functions, Lojaciewicz's theorem, Puiseaux's theorem.

New to this second edition are such topics as:* A more revised and comprehensive treatment of the Faà di Bruno formula * An alternative treatment of the implicit function theorem * Topologies on the space of real analytic functions * The Weierstrass Preparation Theorem

This well organized and clearly written advanced textbook introduces students to real analytic functions of one or more real variables in a systematic fashion. The first part focuses on elementary properties and classical topics and the second part is devoted to more difficult topics. Many historical remarks, examples, references and an excellent index should encourage student and researcher alike to further study this valuable and exciting theory. ... Read more

Product Description
Volume 1 provides a comprehensive review of differential analysis in multidimensional Euclidean space. ... Read more

Customer Reviews (1)

The Mother of All Multivariable Calculus Books
(Note: As I write this I'm halfway through the first volume)
Think of this two volume series as the Mother of All Multivariable Calculus books. It's NOT an intro to multivariable calculus for someone who has finished a couple semesters of calculus; you'll need a good stiff course (see my review of Derivatives and Integrals of Multivariable Functions by Guzman) in m.v. calculus, a dose of linear algebra, and mathematical maturity at the junior/senior undergrad level to tackle it. But if you want to go deeper - much deeper - than a first course in multivariable calculus, this is a great book.

You can look inside the book and see the contents for yourself, so I'll limit myself to general comments. The book is refreshingly free of errors (a few trivial typos are about the extent of them, at least as far as I've gotten) and well translated from the Dutch. There are hundreds of problems after the main text; although solutions aren't given in general, the material is well enough explained so that the reader should be able to solve them. (one of the authors has a web site giving corrections to the text plus some solutions - see http://www.math.uu.nl/people/kolk/books.html ).

All theorems are proved in full detail, but be aware of two things: first, the proofs are "mathematicians proofs"; short and slickmethods are favored over pedagogically softer ones. (example: one of the main theorems of m.v. calculus is the chain rule. Most undergrad texts would simply prove it head on from the definitions of derivative and composition of functions, but here the authors rely on a slick piece of machinery in the form of something called Hadamard's theorem.) Second, the reader WILL have to take out her pencil and paper and fill in some details, but the good news is that the text gives enough information to make this possible in all cases.

It's a beautiful book, really - so why only 4 stars? It has to do with the old tension between the reader and writer of math texts: how explicit should the writing be? I'm dubious about the educational value of having to fill in the algebraic details, and in any case I think the text should be as explicit as possible, leaving the reader to develop his mathematical muscles in the exercises. There are a number of points where 5% more explanation by the authors would have saved the reader 50% of the effort in understanding a theorem - so I'm witholding one star as a protest. Mathematical authors beware! ... Read more

Product Description
Praise for Real Options Analysis Course

"Dr. Mun’s latest book is a logical extension of the theory and application presented in Real Options Analysis. More specifically, the Real Options Analysis Course presents numerous real options examples and provides the reader with step-by-step problem-solving techniques. After having read the book, readers will better understand the underlying theory and the opportunities for applying real option theory in corporate decision-making."
–Chris D. Treharne, President, Gibraltar Business Appraisals, Inc.

"This text provides an excellent follow up to Dr. Mun’s first book, Real Options Analysis. The cases in Real Options Analysis Course provide numerous examples of how the use of real options and the Real Options Analysis Toolkit software can assist in the valuation of strategic and managerial flexibility in a variety of arenas."
–Charles T. Hardy, PhD, Chief Financial Officer & Director of Business Development, Panorama Research, Inc.

"Most of us come to real options from the perspective of our own areas of expertise. Mun’s great skill with this book is in making real options analysis understandable, relevant, and immediately applicable to the field within which you are working."
–Robert Fourt, Partner, Gerald Eve (UK)

"Mun provides a practical step-by-step guide to applying simulation and real options analysis–invaluable to those of us who are no longer satisfied with conventional valuation approaches alone."
–Fred Kohli, Head of Portfolio Management, Syngenta Crop Protection Ltd. (Switzerland) ... Read more