Abstract Algebra
eBook - PDF

Abstract Algebra

  1. 472 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Abstract Algebra

Book details
Table of contents
Citations

About This Book

Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narra

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Information

Publisher
Chapman and Hall/CRC
Year
2007
ISBN
9781584886907
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front cover
  2. Preface
  3. Introduction
  4. Contents
  5. Chapter 1. The integers
  6. Chapter 2. Groups I
  7. Chapter 3. The players: rings, fields, etc.
  8. Chapter 4. Commutative rings I
  9. Chapter 5. Linear algebra I: dimension
  10. Chapter 7. Some irreducible polynomials
  11. Chapter 8. Cyclotomic polynomials
  12. Chapter 9. Finite fields
  13. Chapter 10. Modules over PIDs
  14. Chapter 11. Finitely-generated modules
  15. Chapter 12. Polynomials over UFDs
  16. Chapter 13. Symmetric groups
  17. Chapter 14. Naive set theory
  18. Chapter 15. Symmetric polynomials
  19. Chapter 16. Eisenstein’s criterion
  20. Chapter 17. Vandermonde determinants
  21. Chapter 18. Cyclotomic polynomials II
  22. Chapter 19. Roots of unity
  23. Chapter 20. Cyclotomic III
  24. Chapter 21. Primes in arithmetic progressions
  25. Chapter 22. Galois theory
  26. Chapter 23. Solving equations by radicals
  27. Chapter 24. Eigenvectors, spectral theorems
  28. Chapter 25. Duals, naturality, bilinear forms
  29. Chapter 26. Determinants I
  30. Chapter 27. Tensor products27.1
  31. Chapter 28. Exterior powers
  32. Back cover