A Survey of Modern Algebra / Edition 5

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Overview

This classic, written by two young instructors who became giants in their field, has shaped the understanding of modern algebra for generations of mathematicians and remains a valuable reference and text for self study and college courses.
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Editorial Reviews

Booknews
A new edition of the classic undergraduate text introducing abstract algebra using concrete examples. The authors ground their explanations with computational and theoretical exercises to develop the student's "power to think for himself," covering topics such as the role of careful proof in algebra, linear algebra as grounded in geometry, groups as expressions of symmetry, and subgroups and subsystems leading to lattice theory. This volume is a corrected version of the 4th edition and is offered by a new publisher. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9781568810683
  • Publisher: Taylor & Francis
  • Publication date: 1/1/1997
  • Series: Akp Classics Series
  • Edition description: REV
  • Edition number: 5
  • Pages: 512

Table of Contents

Preface to the Fourth Edition
1 The Integers 1
2 Rational Numbers and Fields 38
3 Polynomials 61
4 Real Numbers 94
5 Complex Numbers 107
6 Groups 124
7 Vectors and Vector Spaces 168
8 The Algebra of Matrices 214
9 Linear Groups 260
10 Determinants and Canonical Forms 318
11 Boolean Algebras and Lattices 357
12 Transfinite Arithmetic 381
13 Rings and Ideals 395
14 Algebraic Number Fields 420
15 Galois Theory 452
Bibliography 483
List of Special Symbols 486
Index 489
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