Главная A First Course in Abstract Algebra with Applications, 3rd Edition

A First Course in Abstract Algebra with Applications, 3rd Edition

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

Number Theory: Induction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem of Arithmetic

Congruences; Dates and Days. Groups I: Some Set Theory; Permutations; Groups; Subgroups and Lagrange's Theorem; Homomorphisms; Quotient Groups; Group Actions; Counting with Groups. Commutative Rings I: First Properties; Fields; Polynomials; Homomorphisms; Greatest Common Divisors; Unique Factorization; Irreducibility; Quotient Rings and Finite Fields; Officers, Magic, Fertilizer, and Horizons. Linear Algebra: Vector Spaces; Euclidean Constructions; Linear Transformations; Determinants; Codes; Canonical Forms. Fields: Classical Formulas; Insolvability of the General Quintic; Epilog. Groups II: Finite Abelian Groups; The Sylow Theorems; Ornamental Symmetry. Commutative Rings III: Prime Ideals and Maximal Ideals; Unique Factorization; Noetherian Rings; Varieties; Grobner Bases.

For all readers interested in abstract algebra.
Категории:
Год:
2005
Издание:
3
Издательство:
Prentice Hall
Язык:
english
Страницы:
629
ISBN 10:
0131862677
ISBN 13:
9780131862678
Файл:
PDF, 4,30 MB
Скачать (pdf, 4,30 MB)

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Ashraful
Very good book!! I really like it.
29 April 2019 (00:12) 
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