The Resource Graphs, surfaces and homology, Peter Giblin
Graphs, surfaces and homology, Peter Giblin
Resource Information
The item Graphs, surfaces and homology, Peter Giblin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Brigham Young University.This item is available to borrow from 1 library branch.
Resource Information
The item Graphs, surfaces and homology, Peter Giblin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Brigham Young University.
This item is available to borrow from 1 library branch.
 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 twodimensional 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 selfstudy"
 Language
 eng
 Edition
 3rd ed.
 Extent
 xx, 251 p.
 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
 Isbn
 9780521154055
 Label
 Graphs, surfaces and homology
 Title
 Graphs, surfaces and homology
 Statement of responsibility
 Peter Giblin
 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 twodimensional 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 selfstudy"
 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
 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
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.byu.edu/portal/GraphssurfacesandhomologyPeter/bKtNQcwXF9w/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.byu.edu/portal/GraphssurfacesandhomologyPeter/bKtNQcwXF9w/">Graphs, surfaces and homology, Peter Giblin</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.byu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.byu.edu/">Brigham Young University</a></span></span></span></span></div>