MARC details
| 000 -LEADER |
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| fixed length control field |
03210cam a22004097i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
17576454 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20150820161136.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
121231t20132013gw a b 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2012956530 |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Record control number |
016187137 |
| Source |
Uk |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642343636 (alk. paper) |
| Terms of availability |
Euro 22.99 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)ocn841366265 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IND |
| Language of cataloging |
eng |
| Transcribing agency |
IND |
| Description conventions |
rda |
| Modifying agency |
MUU |
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YDXCP |
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DRB |
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BTCTA |
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UKMGB |
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I8H |
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BWX |
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CDX |
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CUD |
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MNN |
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OCLCF |
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TOH |
| -- |
OCLCQ |
| -- |
DLC |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
lccopycat |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA326 |
| Item number |
.G35 2013 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.352 G136G |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Gallier, Jean H. |
| 9 (RLIN) |
5533 |
| 222 ## - KEY TITLE |
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| Key title |
Mathematics Collection |
| 245 12 - TITLE STATEMENT |
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| Title |
Guide to the Classification Theorem for Compact Surfaces |
| Statement of responsibility, etc |
Jean Gallier, Dianna Xu. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Heidelberg: |
| Name of publisher, distributor, etc |
Springer-Verlag, |
| Date of publication, distribution, etc |
2013. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 178 pages : |
| Other physical details |
illustrations (some color) ; |
| Dimensions |
24 cm. |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Geometry and computing, |
| International Standard Serial Number |
1866-6795 ; |
| Volume number/sequential designation |
9 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and indexes. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
The classification theorem: informal presentation -- Surfaces -- Simplices, complexes, and triangulations -- The fundamental group, orientability -- Homology groups -- The classification theorem for compact surfaces -- Viewing the real projective plane in R³; the cross-cap and the Steiner roman surface -- Proof of proposition 5.1 -- Topological preliminaries -- History of the classification theorem -- Every surface can be triangulated. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centered approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example. Ideal for students whose mastery of algebraic topology may be a work-in progress, the text introduces key notions such as fundamental groups, homology groups, and the Euler-Poincaré characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology.-- |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Topological algebras. |
| 9 (RLIN) |
5534 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Classification Theorem |
| 9 (RLIN) |
6547 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Compact Surfces |
| 9 (RLIN) |
6548 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics |
| 9 (RLIN) |
6549 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Xu, Dianna. |
| 9 (RLIN) |
5535 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Geometry and computing ; |
| Volume number/sequential designation |
9. |
| 9 (RLIN) |
5536 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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| a |
7 |
| b |
cbc |
| c |
copycat |
| d |
2 |
| e |
epcn |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
