First Course in Abstract Algebra

Name: First Course in Abstract Algebra
Price: 62.4 USD
Availability: InStock
ISBN: 9780133113747

ISBN-10: 0133113744

ISBN-13: 9780133113747

Edition: 1st 1996

Authors: Joseph J. Rotman

List price: $85.33

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The author of this mainstream undergraduate text is a world famous algebraist, well known as a beautiful writer. The text presents difficult material in a very accessible way.

Book details

List price: $85.33
Edition: 1st
Copyright year: 1996
Publisher: Prentice Hall PTR
Binding: Hardcover
Pages: 265
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.144
Language: English



Preface to the First Edition


Preface to the Second Edition



Number Theory



Induction



Binomial Coefficients



Greatest Common Divisors



The Fundamental Theorem of Arithmetic



Congruences



Dates and Days



Groups I



Functions



Permutations



Groups


Symmetry



Lagrange's Theorem



Homomorphisms



Quotient Groups



Group Actions



Counting with Groups



Commutative Rings I



First Properties



Fields



Polynomials



Homomorphisms



Greatest Common Divisors


Euclidean Rings



Unique Factorization



Irreducibility



Quotient Rings and Finite Fields



Officers, Fertilizer, and a Line at Infinity



Goodies



Linear Algebra


Vector Spaces


Linear Transformations


Applications to Fields



Euclidean Constructions



Classical Formulas



Insolvability of the General Quintic


Formulas and Solvability by Radicals


Translation into Group Theory



Epilog



Groups II



Finite Abelian Groups



The Sylow Theorems



The Jordan-Holder Theorem



Presentations



Commutative Rings II



Prime Ideals and Maximal Ideals



Unique Factorization



Noetherian Rings



Varieties



Grobner Bases


Generalized Division Algorithm


Grobner Bases


Hints to Exercises


Bibliography


Index