Graphs, Surfaces and Homology

Peter Giblin

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Language: English

Published by Cambridge University Press, GB, 2010

0521154057 / 9780521154055

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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.…

Seller Inventory # LU-9780521154055

Title
Graphs, Surfaces and Homology
Author
Peter Giblin
Publisher
Cambridge University Press, GB
Publication year
2010
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521154057
ISBN 13
9780521154055
Edition
3rd Edition
Item weight
390 grams

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