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41. Algebra by Serge Lang | |
Hardcover: 912
Pages
(2002-01-08)
list price: US$79.95 -- used & new: US$55.00 (price subject to change: see help) Asin: 038795385X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book is intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. Customer Reviews (24)
Terrible first algebra book
Comprehensive book, great for reference.
Indispensable reference, but not perfect
Not a goodseller
Best Algebra Book. |
42. Basic Abstract Algebra by P. B. Bhattacharya, S. K. Jain, S. R. Nagpaul | |
Paperback: 508
Pages
(1994-11-25)
list price: US$68.00 -- used & new: US$54.14 (price subject to change: see help) Asin: 0521466296 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (8)
Excellent.Don't get thrown off by "Basic" Abstract Algebra
one of the best books on abstract algebra
too concise in some parts, good elsewhere
A must for every math library
Good but... |
43. Algebra (Dover Books on Mathematics) by Larry C. Grove | |
Paperback: 320
Pages
(2010-06-17)
list price: US$19.95 -- used & new: US$12.88 (price subject to change: see help) Asin: 048643947X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
One of the best intro to algebra texts
Well written and concise. Makes an excellent reference |
44. Lectures in Abstract Algebra Volume II - Linear Algebra by Nathan Jacobson | |
Hardcover: 280
Pages
(1953)
Asin: B000VJKRDA Canada | United Kingdom | Germany | France | Japan | |
45. A Book of Abstract Algebra by Charles Pinter | |
Paperback:
Pages
(2003-05-06)
-- used & new: US$128.53 (price subject to change: see help) Asin: 0072943505 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
Great book
Clear, easy to follow, yet rigorous
Not at these prices ($100+)
Best introduction to abstract algebra
An excellent introduction to algebra. |
46. An Introduction to Abstract Algebra (De Gruyter Textbook) by Derek J. S. Robinson | |
Paperback: 282
Pages
(2003-01)
list price: US$70.00 -- used & new: US$55.35 (price subject to change: see help) Asin: 3110175444 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader’s skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe. Customer Reviews (1)
Compact introduction to algebra |
47. Introduction to Analysis and Abstract Algebra by John E. Hafstrom | |
Hardcover: 344
Pages
(1967)
Isbn: 0721644554 Canada | United Kingdom | Germany | France | Japan | |
48. A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic by Jeffrey Bergen | |
Hardcover: 720
Pages
(2010-02-11)
list price: US$109.99 -- used & new: US$66.66 (price subject to change: see help) Asin: 0123749417 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description A Concrete Approach to Abstract Algebra begins with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students. The text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics wich arise in courses in algebra, geometry, trigonometry, precalculus and calculus. The final four chapters present the more theoretical material needed for graduate study. Ancillary list: |
49. Undergraduate Algebra (Undergraduate Texts in Mathematics) by Serge Lang | |
Hardcover: 385
Pages
(2005-03-21)
list price: US$74.95 -- used & new: US$38.18 (price subject to change: see help) Asin: 0387220259 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text. For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah SnyderÆs proof of the Mason-Stothers polynomial abc theorem. About the First Edition: The exposition is down-to-earth and at the same time very smooth. The book can be covered easily in a one-year course and can be also used in a one-term course...the flavor of modern mathematics is sprinkled here and there. - Hideyuki Matsumura, Zentralblatt Customer Reviews (4)
Somewhat terse but clear
Only for pure math majors The book is terse and succinct. It provides very few examples to illustrate the various definitions and theorems. The examples are sorely missing since it is probably the first encounter with abstract mathematical formalism for most students using this book. The author does not provide motivations for most of the topics he presents. Many of the aforementioned topics are of use in physics, linear algebra and applied math, yet the author fails to mention the relevance of abstract algebra to these fields. Considering the fact that not all students using this book are pure math majors, this may leave many students asking "What is it good for?" too often. The book contains many excellent exercises varying from the trivial to the highly challenging. However, no solutions are provided and no solutions manual is available. This makes the book highly unsuitable for self-study. The major strength of the book is its rigor. The author covers many topics not covered by other textbooks and progresses very meticulously towards more complicated topics.He thus builds a strong foundation for future classes in abstract mathematics. For pure math students, the book is a valuable snapshot of how advanced pure math textbooks look like. For other students looking for an introductory textbook on abstract algebra, "Abstract Algebra: An Introduction" by Thomas W. Hungerford is recommended. It provides a clearer presentation of the material and is better suitable for the beginning student.
Painful but satisfying This text should be required reading for all Computer Science majors who have an interest in cryptography or cryptanalysis.
nothing like his graduate text |
50. Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility (Undergraduate Texts in Mathematics) by B.A. Sethuraman | |
Hardcover: 212
Pages
(1996-11-26)
list price: US$69.95 -- used & new: US$43.70 (price subject to change: see help) Asin: 0387948481 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Rings, Fields, and Vector Spaces
A must for allmath majors and aspiring math teachers! |
51. Outlines & Highlights for Abstract Algebra by Herstein, ISBN: 0471368792 (Cram101 Textbook Outlines) by Cram101 Textbook Reviews | |
Paperback: 76
Pages
(2007-08-29)
list price: US$27.95 -- used & new: US$25.16 (price subject to change: see help) Asin: 1428833889 Canada | United Kingdom | Germany | France | Japan | |
52. Algebra: Abstract and Concrete (Stressing Symmetry) (2nd Edition) by Frederick M. Goodman | |
Hardcover: 451
Pages
(2002-08-12)
list price: US$111.00 -- used & new: US$24.29 (price subject to change: see help) Asin: 0130673420 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Poor examples
Hard to follow...
Good for problems and examples
eh |
53. A Survey of Modern Algebra by Garrett Birkhoff, Saunders Mac Lane | |
Paperback: 512
Pages
(2008-10-20)
list price: US$69.00 -- used & new: US$59.48 (price subject to change: see help) Asin: 1568814542 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
too concise for its own good
A classic algebra text!Wonderful book...
This is how algebra texts ought to be written If you are interested in acquiring a deeper understanding of
A smorgousborg of symmetries of the square |
54. Abstract Algebra: A Concrete Introduction by Robert H. Redfield | ||
Paperback: 512
Pages
(2000-10-28)
list price: US$84.00 -- used & new: US$74.53 (price subject to change: see help) Asin: 020143721X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | ||
Editorial Review Product Description Customer Reviews (2)
Good for future teachers
Don't use this book! |
55. Applied Abstract Algebra by David Joyner, Richard Kreminski, Joann Turisco | |
Hardcover: 329
Pages
(2004-04-27)
list price: US$75.00 -- used & new: US$38.25 (price subject to change: see help) Asin: 0801878225 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description With its clear writing style and wealth of examples, Applied Abstract Algebra will bewelcomed by mathematicians, computer scientists, and students alike. Each chapter includesexercises in GAP (a free computer algebra system) and MAGMA (a noncommercial computeralgebra system), which are especially helpful in giving students a grasp of practical examples. |
56. Elements of Modern Algebra by Linda Gilbert | |
Hardcover: 456
Pages
(2008-10-20)
list price: US$174.95 -- used & new: US$104.00 (price subject to change: see help) Asin: 0495561363 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
Great condition.
My Best Math Book
thats how math books should be written!!! (but plz, change that price there)
An excellent introduction to higher mathematics
Great Book |
57. A History of Abstract Algebra by Israel Kleiner | |
Paperback: 168
Pages
(2007-10-02)
list price: US$49.95 -- used & new: US$40.39 (price subject to change: see help) Asin: 0817646841 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Prior to the nineteenth century, algebra meant the study of the solution of polynomial equations. By the twentieth century algebra came to encompass the study of abstract, axiomatic systems such as groups, rings, and fields. This presentation provides an account of the history of the basic concepts, results, and theories of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing context from which the reader may gain a deeper appreciation of the mathematics involved. Key features: * Begins with an overview of classical algebra * Contains separate chapters on aspects of the development of groups, rings, and fields * Examines the evolution of linear algebra as it relates to other elements of abstract algebra * Highlights the lives and works of six notables: Cayley, Dedekind, Galois, Gauss, Hamilton, and especially the pioneering work of Emmy Noether * Offers suggestions to instructors on ways of integrating the history of abstract algebra into their teaching * Each chapter concludes with extensive references to the relevant literature Mathematics instructors, algebraists, and historians of science will find the work a valuable reference. The book may also serve as a supplemental text for courses in abstract algebra or the history of mathematics. Customer Reviews (1)
Shallow, bland and spineless |
58. Linear Algebra: An Introduction to Abstract Mathematics (Undergraduate Texts in Mathematics) by Robert J. Valenza | |
Hardcover: 260
Pages
(1993-08-26)
list price: US$79.95 -- used & new: US$41.99 (price subject to change: see help) Asin: 0387940995 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Topics covered include: sets and functions; groups and group homomorphisms; vector spaces and linear transformations; basis and dimension; matrices; representation of linear transformations; inner product spaces; determinants; eigenvectors and eigenvalues; and triangulation of endormorphisms and reduction to normal forms. A supplementary chapter discusses the connection between linear algebra and multivariate calculus and introduces categories and functors. Customer Reviews (5)
the ideal book for beginning undergraduate students
Is this really good?
excellent -its style : good introduction in each chapter, making the reader curious to read further. Definitely the finest there is ....
math is art ...
A Great Structural Approach to Linear Algebra! Just a few examples of the truly deep knowledge that this book communicates follows.For instance (this will ring a bell for those who have taken calculus) the "constant of integration" that must be added when doing an antiderivative is actually a property of group homomorphisms.The "absolute value" that must be introduced when taking square roots is structurally THE SAME property of group homomorphisms.Also, we all know that you can't divide by zero; it's just not allowed.But, the reason for that is ultimatley rooted in group theory; namely, the real numbers are NOT a group under multiplication.This type understanding has EVERYTHING to do with matrices and systems of equations!For instance, the fact that only square matrices can be inverted is a trivial consequence of a property of function mappings called "bijectivity." (a mapping from three- to two- dimensional space can't be bijective, for example)Many seemingly complex linear system problems can be simplified to a trivial questions by, for example, investigating the "span" of the column vectors of a matrix.There are countless problems that simply can't be understood withoutthe kind of structural knowledge that Prof. Valenza's book gives. Understanding the basic properties that underlie so many mathematical objects has been a true delight for me, and anyone who wants to know what is really going on "behind the scenes" with linear equations would be wise to investigate Prof. Valenza's book.It's no accident that he also wrote a book on Fourier Analysis; understanding structure is simply the key to higher math. ... Read more |
59. Innovations in Teaching Abstract Algebra (Maa Notes, #60) by Ellen Maycock, Allen C. Hibbard | |
Paperback: 152
Pages
(2002-04)
list price: US$31.50 -- used & new: US$23.36 (price subject to change: see help) Asin: 0883851717 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The Editors of "Innovations in Teaching Abstract Algebra" have chosen the articles appearing in the volume in order to acquaint readers about various technological innovations, to detail methods of teaching abstract algebra that engage students, and to share more general reflections on teaching an abstract algebra course. Customer Reviews (1)
Required reading for those who teach it Published in Journal of Recreational Mathematics, reprinted with permission. ... Read more |
60. Basic Notions of Algebra (Encyclopaedia of Mathematical Sciences) by Igor R. Shafarevich | |
Hardcover: 258
Pages
(2005-05-01)
list price: US$139.00 -- used & new: US$81.27 (price subject to change: see help) Asin: 3540251774 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Recreational but no-nonsense.
Modern Mathematics from the viewpoint of Algebra. |
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