Problems in abstract algebra

Problems in abstract algebra

by Wadsworth, Adrian R

Type Book
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This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, pre…

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Title Statements

  • Full title :Problems in abstract algebra / A.R. Wadsworth.

Summary

This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.

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Edition Statements

  • Publication Date:©2017

Publication Statements

The Physical Object

  • Description:1 online resource (viii, 277 pages)

Edition Identifiers

  • ISBN:9781470440442, 147044044X
  • oclc:ocn993765587
  • LC Classification:QA162
  • Dewey Decimal:512.02

Table of Contents

Integers and integers mod n -- Groups -- Rings -- Linear algebra and canonical forms of linear transformations -- Fields and Galois theory.

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Subjects

Algebra, Abstract Algebra, Abstract -- Textbooks Commutative algebra -- Instructional ex… Field theory and polynomials -- Instruc… General -- General and miscellaneous sp… Group theory and generalizations -- Ins… Linear and multilinear algebra; matrix … MATHEMATICS -- Algebra Textbooks

Writers

Wadsworth, Adrian R

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