A First Course in Abstract Algebra
Published on 5. December 1995
Book
Hardback
265 pages
978-0-13-311374-7 (ISBN)
Description
Written as only Professor Rotman can pull off: spectacularly clear yet rigorous without condescension. This introduction to abstract algebra is designed to make the study of all required topics and the reading and writing of proofs both accessible and enjoyable for students encountering the subject for the first time.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 20 mm
Weight
545 gr
ISBN-13
978-0-13-311374-7 (9780133113747)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Joseph J. Rotman
A First Course in Abstract Algebra
Book
04/2000
2nd Edition
Pearson
€58.17
Article exhausted; check for reprint
Content
Preface. 1. Number Theory. Induction. Binomial Coefficients. Greatest Common Divisors. The Fundamental Theorem of Arithmetic. Congruences. Dates and Days. 2. Groups. Functions. Permutations. Groups. Lagrange's Theorem. Geometry. Homomorphisms. Quotient Groups. Counting with Groups. Groups of Small Order. 3. Commutative Rings. Elementary Properties. Fields. Polynomials. Greatest Common Divisors. Factorization. Homomorphisms. Irreducibility. Quotient Rings and Finite Fields. Officers, Fertilizer, and a Line at Infinity. 4. Goodies. Vector Spaces. Euclidean Constructions. Classical Formulas. Insolvability of the General Quintic. Bibliography. Index.