| Edition |
3rd ed. |
| Description |
1 online resource (xx, 251 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| 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"-- Provided by publisher. |
| Bibliography |
Includes bibliographical references (pages 239-242) and index. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Algebraic topology.
|
|
Algebraic topology. |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Giblin, P.J. Graphs, surfaces and homology. 3rd ed. Cambridge ; New York : Cambridge University Press, ©2010 9780521766654 (DLC) 2010022763 (OCoLC)642624649 |
| ISBN |
9780511902192 (electronic book) |
|
0511902190 (electronic book) |
|
9780511799044 (ebook) |
|
0511799047 (ebook) |
|
9780511779534 (electronic book) |
|
0511779534 (electronic book) |
|
9780521766654 (hardback) |
|
0521766656 (hardback) |
|
9780521154055 (paperback) |
|
0521154057 (paperback) |
|
