Concepts in Abstract Algebra
Charles Lanski
Price
2000
ISBN
9780821852125
Language
English
Pages
560
Format
Paperback
Dimensions
158 x 240 mm
Year of Publishing
2010
Territorial Rights
Restricted
Imprint
American Mathematical Society
Catalogues

The style and structure of Concepts in Abstract Algebra are designed to help students learn the core concepts and associated techniques in algebra deeply and well. The book presents interesting examples of sufficient complexity so that students can see the concepts and results used in a nontrivial setting. Charles Lanski gives students the opportunity to practice by offering many exercises that require the use and synthesis of the techniques and results. Both readable and mathematically interesting, the text also helps students learn the art of constructing mathematical arguments.

Charles Lanski, University of Southern California, Los Angeles, California, USA
  1. Review
  2. Preliminaries
  3. Groups
  4. Special Groups
  5. Subgroups
  6. Normal Subgroups and Quotients
  7. Morphisms
  8. Structure Theorems
  9. Conjugation
  10. Group Actions
  11. Rings
  12. Ideals, Quotients, and Homomorphisms
  13. Factorization in Integral Domains
  14. Commutative Rings
  15. Fields
  16. Galois Theory
Hints to Selected Odd-Numbered Problems
Index
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