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Graphs, surfaces and homology /

Giblin, P. J.

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Graphs, surfaces and homology /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Graphs, surfaces and homology // Peter Giblin.
作者:	Giblin, P. J.
出版者:	Cambridge ;Cambridge University Press, : c2010.,
面頁冊數:	xx, 251 p. :ill. ;23 cm.
內容註:	Introduction -- Graphs -- Closed surfaces -- Simplicial complexes -- Homology groups -- The question of invariance -- Some general theorems -- Two more general theorems -- Homology modulo 2 -- Graphs in surfaces --Appendix. Abelian groups.
標題:	Algebraic topology. -
電子資源:	http://assets.cambridge.org/97805217/66654/cover/9780521766654.jpg
ISBN:	9780521154055 (pbk.) :

Graphs, surfaces and homology /
Giblin, P. J.

Graphs, surfaces and homology /Peter Giblin. - 3rd ed. - Cambridge ;Cambridge University Press,c2010. - xx, 251 p. :ill. ;23 cm.

Includes bibliographical references (p. 239-242) and index.

Introduction -- Graphs -- Closed surfaces -- Simplicial complexes -- Homology groups -- The question of invariance -- Some general theorems -- Two more general theorems -- Homology modulo 2 -- Graphs in surfaces --Appendix. Abelian groups.

"Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible textbook will appeal to mathematics students interested in the application of algebra to geometrical problems, specifically the study of surfaces (sphere, torus, Mobius band, Klein bottle). In this introduction to simplicial homology - the most easily digested version of homology theory - the author studies interesting geometrical problems, such as the structure of two-dimensional surfaces and the embedding of graphs in surfaces, using the minimum of algebraic machinery and including a version of Lefschetz duality. Assuming very little mathematical knowledge, the book provides a complete account of the algebra needed (abelian groups and presentations), and the development of the material is always carefully explained with proofs given in full detail. Numerous examples and exercises are also included, making this an ideal text for undergraduate courses or for self-study"--

ISBN: 9780521154055 (pbk.) :US50.00

LCCN: 2010022763Subjects--Topical Terms:

532744
Algebraic topology.

LC Class. No.: QA612 / .G5 2010

Dewey Class. No.: 514/.2

Graphs, surfaces and homology /
LDR:02188cam 22002894a 4500 001 975154
003 DLC
005 20110112181714.0
008 111017s2010 enka b 001 0 eng
010 $a 2010022763
020 $a 9780521154055 (pbk.) : $c US50.00
020 $a 0521154057 (pbk.)
020 $a 9780521766654 (hardback)
020 $a 0521766656 (hardback)
035 $a (OCoLC)ocn642624649
035 $a AS-BW-100-N-01
040 $a DLC $c DLC $d BWK $d YDXCP $d C#P $d CDX $d BWX $d DLC
042 $a pcc
050 0 0 $a QA612 $b .G5 2010
082 0 0 $a 514/.2 $2 22
100 1 $a Giblin, P. J. $3 540667
245 1 0 $a Graphs, surfaces and homology / $c Peter Giblin.
250 $a 3rd ed.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c c2010.
300 $a xx, 251 p. : $b ill. ; $c 23 cm.
504 $a Includes bibliographical references (p. 239-242) and index.
505 0 # $a Introduction -- Graphs -- Closed surfaces -- Simplicial complexes -- Homology groups -- The question of invariance -- Some general theorems -- Two more general theorems -- Homology modulo 2 -- Graphs in surfaces --Appendix. Abelian groups.
520 # $a "Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible textbook will appeal to mathematics students interested in the application of algebra to geometrical problems, specifically the study of surfaces (sphere, torus, Mobius band, Klein bottle). In this introduction to simplicial homology - the most easily digested version of homology theory - the author studies interesting geometrical problems, such as the structure of two-dimensional surfaces and the embedding of graphs in surfaces, using the minimum of algebraic machinery and including a version of Lefschetz duality. Assuming very little mathematical knowledge, the book provides a complete account of the algebra needed (abelian groups and presentations), and the development of the material is always carefully explained with proofs given in full detail. Numerous examples and exercises are also included, making this an ideal text for undergraduate courses or for self-study"-- $c Provided by publisher.
650 # 0 $a Algebraic topology. $3 532744
856 4 2 $3 Cover image $u http://assets.cambridge.org/97805217/66654/cover/9780521766654.jpg