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cover

Concepts in Abstract Algebra

Charles Lanski

₹ 2000

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Imprint

American Mathematical Society

Year of Publishing

2010

Number of pages

560

ISBN

9780821852125

Format

Paperback

Language

English

Dimensions

158 x 240 mm

Series

Indian Editions of AMS Titles

Territorial Rights

India,Nepal,Bhutan,Bangladesh,Sri Lanka,Maldives,Pakistan

  • the Book
  • the Author(s)
  • Table of Contents

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.

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Charles Lanski, University of Southern California, Los Angeles, California, USA
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  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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