Product Details
First Course in Abstract Algebra (Pearson education)

First Course in Abstract Algebra (Pearson education)
By Joseph J. Rotman

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Product Description

For one-semester or two-semester undergraduate courses in Abstract Algebra.

This new edition has been completely rewritten. The four chapters from the first edition are expanded, from 257 pages in first edition to 384 in the second. Two new chapters have been added: the first 3 chapters are a text for a one-semester course; the last 3 chapters are a text for a second semester. The new Chapter 5, Groups II, contains the fundamental theorem of finite abelian groups, the Sylow theorems, the Jordan-Holder theorem and solvable groups, and presentations of groups (including a careful construction of free groups). The new Chapter 6, Commutative Rings II, introduces prime and maximal ideals, unique factorization in polynomial rings in several variables, noetherian rings and the Hilbert basis theorem, affine varieties (including a proof of Hilbert's Nullstellensatz over the complex numbers and irreducible components), and Grobner bases, including the generalized division algorithm and Buchberger's algorithm.

Product Details

  • Amazon Sales Rank: #1530351 in Books
  • Published on: 2000-04-17
  • Original language: English
  • Number of items: 1
  • Binding: Hardcover
  • 531 pages

Customer Reviews

A Very Good Book For Undergraduates5
I like the clear, knowledgeable and interesting style of this book. This book proved to be very useful while studying for my degree in mathematics, especially the chapters on integers and groups. Its chapters on rings were not so useful as it took a more advanced viewpoint, which is really geared towards graduates. Even though a few topics are geared towards graduates, it would be unsuitable as most of the topics are not. I have read through four other books (guide to abstract algebra, introduction to abstract algebra, modern algebra: an introduction and teach yourself mathematical groups) of the same genre and of the same level and this book is easily the best. Overall, this book is user-friendly, interesting and most of all a must buy for undergraduates or people with an interest in abstract algebra.