Algebra I (Record no. 2643)

000 -LEADER
fixed length control field 02227nam a22002177a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240920160837.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190424b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783662387535
040 ## - CATALOGING SOURCE
Transcribing agency Tata Book House
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA154.2
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Shafarevich I. R.
245 ## - TITLE STATEMENT
Title Algebra I
Remainder of title : basic notions of algebra
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York:
Name of publisher, distributor, etc. Springer Verlag,
Date of publication, distribution, etc. [c1990]
300 ## - Physical Description
Pages: 258 p
490 ## - SERIES STATEMENT
Series statement Encyclopedia of Mathematical Sciences
Volume/sequential designation Vol. 11
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. What is Algebra?<br/>2. Fields<br/>3. Commutative Rings<br/>4. Homomorphisms and Ideals<br/>5. Modules<br/>6. Algebraic Aspects of Dimension<br/>7. The Algebraic View of Infinitesimal Notions<br/>8. Noncommutative Rings<br/>9. Modules over Noncommutative Rings<br/>10. Semisimple Modules and Rings<br/>11. Division Algebras of Finite Rank<br/>12. The Notion of a Group<br/>13. Examples of Groups: Finite Groups<br/>14. Examples of Groups: Infinite Discrete Groups<br/>15. Examples of Groups: Lie Groups and Algebraic Groups<br/>16. General Results of Group Theory<br/>17. Group Representations<br/>18. Some Applications of Groups<br/>19. Lie Algebras and Nonassociative Algebra<br/>20. Categories<br/>21. Homological Algebra<br/>22. K-theory
520 ## - SUMMARY, ETC.
Summary, etc. This book aims to present a general survey of algebra, of its basic notions and main branches. Now what language should we choose for this? In reply to the question ‘What does mathematics study?’, it is hardly acceptable to answer ‘structures’ or ‘sets with specified relations’; for among the myriad conceivable structures or sets with specified relations, only a very small discrete subset is of real interest to mathematicians, and the whole point of the question is to understand the special value of this infinitesimal fraction dotted among the amorphous masses. In the same way, the meaning of a mathematical notion is by no means confined to its formal definition; in fact, it may be rather better expressed by a (generally fairly small) sample of the basic examples, which serve the mathematician as the motivation and the substantive definition, and at the same time as the real meaning of the notion.---summary provided by publisher
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-3-662-39643-8">https://doi.org/10.1007/978-3-662-39643-8</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
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          ICTS Rack No 4 04/24/2019 QA154.2 01980 Book