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First Course in Abstract Algebra(2005)  무료배송

 
지은이 : Rotman
출판사 : Pearson
판수 : 3 edition
페이지수 : 640 pages
ISBN : 0131862677
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 품절
   

 
This spectacularly clear introduction to abstract algebra is is designed to make the study of all required topics and the reading and writing of proofs both accessible and enjoyable for readers encountering the subject for the first time. Number Theory. Groups. Commutative Rings. Modules. Algebras. Principal Idea Domains. Group Theory II. Polynomials In Several Variables. For anyone interested in learning abstract algebra. --This text refers to the Hardcover edition.
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


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