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A Guide to the Classification Theorem for Compact Surfaces (Record no. 46444)

MARC details
000 -LEADER
fixed length control field 03488nam a22005177a 4500
001 - CONTROL NUMBER
control field sulb-eb0024352
003 - CONTROL NUMBER IDENTIFIER
control field BD-SySUS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160413122435.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130217s2013 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642343643
-- 978-3-642-34364-3
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-34364-3
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA611-614.97
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBP
Source bicssc
Subject category code MAT038000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Gallier, Jean.
Relator term author.
245 12 - TITLE STATEMENT
Title A Guide to the Classification Theorem for Compact Surfaces
Medium [electronic resource] /
Statement of responsibility, etc. by Jean Gallier, Dianna Xu.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Berlin, Heidelberg :
Name of producer, publisher, distributor, manufacturer Springer Berlin Heidelberg :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 178 p. 78 illus., 20 illus. in color.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Geometry and Computing,
International Standard Serial Number 1866-6795 ;
Volume/sequential designation 9
505 0# - FORMATTED CONTENTS NOTE
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 -- Proof of Proposition 5.1 -- Topological Preliminaries -- History of the Classification Theorem -- Every Surface Can be Triangulated -- Notes .
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-centred 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
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Topology.
Topical term or geographic name as entry element Algebraic topology.
Topical term or geographic name as entry element Manifolds (Mathematics).
Topical term or geographic name as entry element Complex manifolds.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Topology.
Topical term or geographic name as entry element Manifolds and Cell Complexes (incl. Diff.Topology).
Topical term or geographic name as entry element Algebraic Topology.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Xu, Dianna.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783642343636
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Geometry and Computing,
International Standard Serial Number 1866-6795 ;
Volume number/sequential designation 9
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-3-642-34364-3">http://dx.doi.org/10.1007/978-3-642-34364-3</a>
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type

No items available.