Abstract Algebra
eBook - ePub

Abstract Algebra

An Introduction with Applications

  1. 456 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Abstract Algebra

An Introduction with Applications

About this book

This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and the information and physical sciences. In addition to introducing the main concepts of modern algebra – groups, rings, modules and fields – the book contains numerous applications, which are intended to illustrate the concepts and to show the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems, error correcting codes and economics are described. There is ample material here for a two semester course in abstract algebra. Proofs of almost all results are given. The reader led through the proofs in gentle stages. There are more than 500 problems, of varying degrees of diffi culty. The book should be suitable for advanced undergraduate students in their fi nal year of study and for fi rst or second year graduate students at a university in Europe or North America. In this third edition three new chapters have been added: an introduction to the representation theory of fi nite groups, free groups and presentations of groups, an introduction to category theory.

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Yes, you can access Abstract Algebra by Derek J.S. Robinson in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2022
Print ISBN
9783110686104
eBook ISBN
9783110691214
Edition
3
Subtopic
Algebra

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. Preface
  5. 1 Sets, Relations and Functions
  6. 2 The Integers
  7. 3 Introduction to Groups
  8. 4 Quotient groups and Homomorphisms
  9. 5 Groups Acting on Sets
  10. 6 Introduction to rings
  11. 7 Division in Commutative Rings
  12. 8 Vector Spaces
  13. 9 Introduction to Modules
  14. 10 The Structure of Groups
  15. 11 The Theory of Fields
  16. 12 Galois Theory
  17. 13 Tensor Products
  18. 14 Representations of groups
  19. 15 Presentations of groups
  20. 16 Introduction to category theory
  21. 17 Applications
  22. Index