A first course in abstract algebra : with applications

著者

• Rotman, Joseph J.

書誌事項

A first course in abstract algebra : with applications

Joseph J. Rotman

Pearson Prentice Hall, c2006

3rd ed

注記

Includes bibliographical references and index

内容説明・目次

内容説明

This text introduces students to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.

目次

Chapter 1: Number Theory Induction Binomial Coefficients Greatest Common Divisors The Fundamental Theorem of Arithmetic Congruences Dates and Days Chapter 2: Groups I Some Set Theory Permutations Groups Subgroups and Lagrange's Theorem Homomorphisms Quotient Groups Group Actions Counting with Groups Chapter 3: Commutative Rings I First Properties Fields Polynomials Homomorphisms Greatest Common Divisors Unique Factorization Irreducibility Quotient Rings and Finite Fields Officers, Magic, Fertilizer, and Horizons Chapter 4: Linear Algebra Vector Spaces Euclidean Constructions Linear Transformations Determinants Codes Canonical Forms Chapter 5: Fields Classical Formulas Insolvability of the General Quintic Epilog Chapter 6: Groups II Finite Abelian Groups The Sylow Theorems Ornamental Symmetry Chapter 7: Commutative Rings III Prime Ideals and Maximal Ideals Unique Factorization Noetherian Rings Varieties Grobner Bases Hints for Selected Exercises Bibliography Index

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB17745709
• ISBN:
  • 0131862677
• LCCN: 2005053492
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Upper Saddle River, NJ
• ページ数/冊数: 1 v.
• 大きさ: 24 cm
• 分類:
  • LCC : QA162
  • DC22 : 512/.02
• 件名:
  • LCSH : Algebra, Abstract
  • LCSH : Number theory
  • LCSH : Commutative rings
  • LCSH : Group rings