Graphs, Surfaces and Homology
3rd Edition
Published on 2. September 2010
978-0-511-79606-7 (ISBN)
Description
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.
Reviews / Votes
"Graphs, Surfaces and Homology is fantastic! I'm sure I've looked at more than fifteen other Homology-related books. My search for a readable book is finally over."Richard Carver, George Mason University
More details
Edition
3rd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
College/higher education
Professional and scholarly
Edition type
Revised edition
Illustrations
Worked examples or Exercises; 150 Line drawings, black and white
File size
1,33 MB
ISBN-13
978-0-511-79606-7 (9780511796067)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Peter Giblin
Graphs, Surfaces and Homology
Book
08/2010
3rd Edition
Cambridge University Press
€59.40
Shipment within 15-20 days
Peter Giblin
Graphs, Surfaces and Homology
Book
08/2010
3rd Edition
Cambridge University Press
€108.60
Shipment within 15-20 days
Person
Peter Giblin is a Professor of Mathematics (Emeritus) at the University of Liverpool.
Content
Preface to the third edition; Preface to the first edition; List of notation; Introduction; 1. Graphs; 2. Closed surfaces; 3. Simplicial complexes; 4. Homology groups; 5. The question of invariance; 6. Some general theorems; 7. Two more general theorems; 8. Homology modulo 2; 9. Graphs in surfaces; Appendix. Abelian groups; References; Index.
