MARC details
| 000 -LEADER |
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| fixed length control field |
02843nmm a22003375i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230705150651.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
121227s2002 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461300410 |
| -- |
978-1-4613-0041-0 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512 |
| Edition number |
23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Lang, Serge. |
| 9 (RLIN) |
21212 |
| 245 ## - TITLE STATEMENT |
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| Title |
Algebra |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Serge Lang. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
3rd ed. 2002. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
New York, NY : |
| Name of publisher, distributor, etc. |
Springer New York : |
| -- |
Imprint: Springer, |
| Date of publication, distribution, etc. |
2002. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XV, 918 p. |
| Other physical details |
online resource. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
One The Basic Objects of Algebra -- I Groups -- II Rings -- III Modules -- IV Polynomials -- Two Algebraic Equations -- V Algebraic Extensions -- VI Galois Theory -- VII Extensions of Rings -- VIII Transcendental Extensions -- IX Algebraic Spaces -- X Noetherian Rings and Modules -- XI Real Fields -- XII Absolute Values -- Three Linear Algebra and Representations -- XIII Matrices and Linear Maps -- XIV Representation of One Endomorphism -- XV Structure of Bilinear Forms -- XVI The Tensor Product -- XVII Semisimplicity -- XVIII Representations of Finite Groups -- XIX The Alternating Product -- Four Homological Algebra -- XX General Homology Theory -- XXI Finite Free Resolutions -- Appendix 2 Some Set Theory. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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. 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 graduate-level 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Algebra. |
| 9 (RLIN) |
21213 |
|
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| Topical term or geographic name entry element |
Commutative algebra. |
| 9 (RLIN) |
21214 |
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| Topical term or geographic name entry element |
Commutative rings. |
| 9 (RLIN) |
21215 |
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| Topical term or geographic name entry element |
Algebras, Linear. |
| 9 (RLIN) |
21216 |
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| Topical term or geographic name entry element |
Associative rings. |
| 9 (RLIN) |
21217 |
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| Topical term or geographic name entry element |
Associative algebras. |
| 9 (RLIN) |
21218 |
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| Topical term or geographic name entry element |
Group theory. |
| 9 (RLIN) |
21219 |
|
|---|
| Topical term or geographic name entry element |
Algebra. |
| 9 (RLIN) |
21213 |
|
|---|
| Topical term or geographic name entry element |
Commutative Rings and Algebras. |
| 9 (RLIN) |
21220 |
|
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| Topical term or geographic name entry element |
Linear Algebra. |
| 9 (RLIN) |
21221 |
|
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| Topical term or geographic name entry element |
Associative Rings and Algebras. |
| 9 (RLIN) |
21222 |
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| Topical term or geographic name entry element |
Group Theory and Generalizations. |
| 9 (RLIN) |
21223 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-1-4613-0041-0">https://doi.org/10.1007/978-1-4613-0041-0</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
e-Book |
