Algebra / Serge Lang.

By:

Lang, Serge, 1927-

Material type: Text

TextSeries: Graduate texts in mathematics ; 211.Publication details: New York : Springer, 2002.Edition: Rev. 3rd edDescription: 914 p. : illISBN:

9780387953854

Subject(s):

Algebra

DDC classification:

512 LAN

LOC classification:

QA154.3 .L3 2002

Contents:

Front Matter Pages 1-1 PDF Groups Serge Lang Pages 3-82 Rings Serge Lang Pages 83-116 Modules Serge Lang Pages 117-172 Polynomials Serge Lang Pages 173-220 Algebraic Equations Front Matter Pages 221-222 PDF Algebraic Extensions Serge Lang Pages 223-259 Galois Theory Serge Lang Pages 261-332 Extensions of Rings Serge Lang Pages 333-354 Transcendental Extensions Serge Lang Pages 355-375 Algebraic Spaces Serge Lang Pages 377-412 Noetherian Rings and Modules Serge Lang Pages 413-447 Real Fields Serge Lang Pages 449-463 Absolute Values Serge Lang Pages 465-499 Linear Algebra and Representations Front Matter Pages 501-501 PDF Matrices and Linear Maps Serge Lang Pages 503-552 Representation of One Endomorphism Serge Lang Pages 553-570 Structure of Bilinear Forms Serge Lang Pages 571-600 The Tensor Product Serge Lang Pages 601-640 Linear Algebra and Representations Semisimplicity Serge Lang Pages 641-662 Representations of Finite Groups Serge Lang Pages 663-729 The Alternating Product Serge Lang Pages 731-758 Homological Algebra Front Matter Pages 759-760 PDF General Homology Theory Serge Lang Pages 761-834 Finite Free Resolutions Serge Lang Pages 835-866 Back Matter Pages 867-918

Summary: From 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: "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." From MathSciNet's review of the first edition: "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." 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. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode
Project book	CUTN Central Library	512 LAN (Browse shelf(Opens below))	Checked out to Renuka Devi V (20019T)	31/01/2024	48810

Includes bibliographical references and index.

Front Matter
Pages 1-1
PDF
Groups
Serge Lang
Pages 3-82
Rings
Serge Lang
Pages 83-116
Modules
Serge Lang
Pages 117-172
Polynomials
Serge Lang
Pages 173-220
Algebraic Equations
Front Matter
Pages 221-222
PDF
Algebraic Extensions
Serge Lang
Pages 223-259
Galois Theory
Serge Lang
Pages 261-332
Extensions of Rings
Serge Lang
Pages 333-354
Transcendental Extensions
Serge Lang
Pages 355-375
Algebraic Spaces
Serge Lang
Pages 377-412
Noetherian Rings and Modules
Serge Lang
Pages 413-447
Real Fields
Serge Lang
Pages 449-463
Absolute Values
Serge Lang
Pages 465-499
Linear Algebra and Representations
Front Matter
Pages 501-501
PDF
Matrices and Linear Maps
Serge Lang
Pages 503-552
Representation of One Endomorphism
Serge Lang
Pages 553-570
Structure of Bilinear Forms
Serge Lang
Pages 571-600
The Tensor Product
Serge Lang
Pages 601-640
Linear Algebra and Representations
Semisimplicity
Serge Lang
Pages 641-662
Representations of Finite Groups
Serge Lang
Pages 663-729
The Alternating Product
Serge Lang
Pages 731-758
Homological Algebra
Front Matter
Pages 759-760
PDF
General Homology Theory
Serge Lang
Pages 761-834
Finite Free Resolutions
Serge Lang
Pages 835-866
Back Matter
Pages 867-918

From 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: "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."
From MathSciNet's review of the first edition:
"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."
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. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text.

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