Algebra / Edition 3

Algebra / Edition 3

by Serge Lang, S. Lang
     
 

"Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." NOTICES OF THE AMS

"The author has an impressive knack for presenting the important and interesting ideas of algebra in just

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Overview

"Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." NOTICES OF THE AMS

"The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra." MATHEMATICAL REVIEWS

This book is intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text.

Product Details

ISBN-13:
9780387953854
Publisher:
Springer New York
Publication date:
05/23/2002
Series:
Graduate Texts in Mathematics Series, #211
Edition description:
3rd rev. ed. 2002. Corr. 4th printing 2005
Pages:
914
Sales rank:
1,178,321
Product dimensions:
1.94(w) x 9.21(h) x 6.14(d)

Related Subjects

Table of Contents

Foreword
• Groups
• Rings
• Modules
• Polynomials
• Algebraic Equations
• Galois Theory
• Extensions of Rings
• Transcendental Extensions
• Algebraic Spaces
• Noetherian Rings and Modules
• Real Fields
• Absolute Values
• Matrices and Linear Maps
• Representation of One Endomorphism
• Structure of Bilinear Forms
• The Tensor Product
• Semisimplicity
• Representations of Finite Groups
• The Alternating Product
• General Homology Theory
• Finite Free Resolutions
• Appendices
• Bibliography

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