Description 
1 online resource (xv, 914 pages) 
Series 
Graduate Texts in Mathematics, 00725285 ; 211 

Graduate texts in mathematics ; 211

Contents 
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 
Summary 
This book is intended as a basic text for a oneyear course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higherlevel 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. Comments on Serge Lang's Algebra: 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 graduatelevel algebra books. April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books. 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. MathSciNet's review of the first edition 
Bibliography 
Includes bibliographical references and index 
Notes 
English 

Print version record 
Subject 
Algebra.


Group theory.


Mathematics.


Matrix theory


Algebra.


Group theory.


Mathematics.

Form 
Electronic book

ISBN 
146130041X 

9781461300410 
