Discovering Group Theory
eBook - PDF

Discovering Group Theory

A Transition to Advanced Mathematics

  1. 219 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Discovering Group Theory

A Transition to Advanced Mathematics

About this book

Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and then does a bit more. The book is intended for students who find the kind of reasoning in abstract mathematics courses unfamiliar and need extra support in this transition to advanced mathematics.

The book gives a number of examples of groups and subgroups, including permutation groups, dihedral groups, and groups of integer residue classes. The book goes on to study cosets and finishes with the first isomorphism theorem.

Very little is assumed as background knowledge on the part of the reader. Some facility in algebraic manipulation is required, and a working knowledge of some of the properties of integers, such as knowing how to factorize integers into prime factors.

The book aims to help students with the transition from concrete to abstract mathematical thinking.

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Yes, you can access Discovering Group Theory by Tony Barnard,Hugh Neill 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
CRC Press
Year
2016
Print ISBN
9781138430846
eBook ISBN
9781315405773
Edition
1
Subtopic
Algebra

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Preface
  7. 1. Proof
  8. 2. Sets
  9. 3. Binary Operations
  10. 4. Integers
  11. 5. Groups
  12. 6. Subgroups
  13. 7. Cyclic Groups
  14. 8. Products of Groups
  15. 9. Functions
  16. 10. Composition of Functions
  17. 11. Isomorphisms
  18. 12. Permutations
  19. 13. Dihedral Groups
  20. 14. Cosets
  21. 15. Groups of Orders Up To 8
  22. 16. Equivalence Relations
  23. 17. Quotient Groups
  24. 18. Homomorphisms
  25. 19. The First Isomorphism Theorem
  26. Answers
  27. Index