MARC details
| 000 -LEADER |
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| fixed length control field |
02370cam a22002655i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
136445 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20160114153641.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
141020s2014 nyu 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319114774 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512 |
| Edition number |
23 |
| Item number |
B499 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Bergman, George M. |
| 245 10 - TITLE STATEMENT |
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| Title |
Invitation to general algebra and universal constructions / |
| Statement of responsibility, etc |
George M. Bergman. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Switzerland : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2014. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
x , 572 p. : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
universitext |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and indexes |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. About the Course, and These Notes --<br/> Part I: Motivation and Examples --<br/> 2. Making Some Things Precise --<br/> 3. Free Groups --<br/> 4. A Cook's Tour of Other Universal Constructions --<br/> Part II: Basic Tools and Concepts --<br/> 5. Ordered Sets, Induction, and the Axiom of Choice --<br/> 6. Lattices, Closure Operators, and Galois Connections --<br/> 7. Categories and Functions --<br/> 8. Universal Constructions in Category - Theoretic Terms --<br/> 9. Varieties of Algebras --<br/> Part III: More on Adjunctions --<br/> 10. Algebra and Coalgebra Objects in Categories, and Functors Having Adjoints --<br/> References --<br/> List of Exercises --<br/> Symbol Index --<br/> Word and Phrase Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Universal algebra. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
