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The Resource Graphs, surfaces and homology, Peter Giblin

Graphs, surfaces and homology, Peter Giblin

Label
Graphs, surfaces and homology
Title
Graphs, surfaces and homology
Statement of responsibility
Peter Giblin
Creator
Subject
Language
eng
Summary
"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"--
Assigning source
Provided by publisher
Cataloging source
DLC
Dewey number
514/.2
Illustrations
illustrations
Index
index present
LC call number
QA612
LC item number
.G5 2010
Literary form
non fiction
Nature of contents
bibliography
Label
Graphs, surfaces and homology, Peter Giblin
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
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
Dimensions
23 cm.
Edition
3rd ed.
Extent
xx, 251 p.
Isbn
9780521154055
Isbn Type
(pbk.)
Lccn
2010022763
Media category
unmediated
Media MARC source
rdamedia
Other physical details
ill.
System control number
  • (OCoLC)ocn642624649
  • (OCoLC)ocn676823006
Label
Graphs, surfaces and homology, Peter Giblin
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
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
Dimensions
23 cm.
Edition
3rd ed.
Extent
xx, 251 p.
Isbn
9780521154055
Isbn Type
(pbk.)
Lccn
2010022763
Media category
unmediated
Media MARC source
rdamedia
Other physical details
ill.
System control number
  • (OCoLC)ocn642624649
  • (OCoLC)ocn676823006

Library Locations

    • Harold B. Lee Library Brigham Young University, Provo, UT, 84602, US
      40.249156 -111.649242
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