Undergraduate Algebra / Edition 3

Undergraduate Algebra / Edition 3

by Serge Lang
     
 

ISBN-10: 1441919597

ISBN-13: 9781441919595

Pub. Date: 11/29/2010

Publisher: Springer New York

Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the

…  See more details below

Overview

Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text.

For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder’s proof of the Mason-Stothers polynomial abc theorem.

About the First Edition:

The exposition is down-to-earth and at the same time very smooth. The book can be covered easily in a one-year course and can be also used in a one-term course...the flavor of modern mathematics is sprinkled here and there.

- Hideyuki Matsumura, Zentralblatt

Read More

Product Details

ISBN-13:
9781441919595
Publisher:
Springer New York
Publication date:
11/29/2010
Series:
Undergraduate Texts in Mathematics Series, #330
Edition description:
Softcover reprint of hardcover 3rd ed. 2005
Pages:
389
Product dimensions:
6.10(w) x 9.20(h) x 1.00(d)

Related Subjects

Table of Contents

* Foreword * The Integers * Groups
• Rings
• Polynomials
• Vector Spaces and Modules
• Some Linear Groups
• Field Theory
• Finite Fields
• The Real and Complex Numbers
• Sets
• Appendix
• Index

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >