Items related to Graphs, Surfaces and Homology

Graphs, Surfaces and Homology - Softcover

Giblin, Peter

  • 4.33 out of 5 stars
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9780521154055: Graphs, Surfaces and Homology
Softcover
ISBN 10: 0521154057 ISBN 13: 9780521154055
Publisher: Cambridge University Press, 2010

Synopsis

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.

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About the Author

Peter Giblin is a Professor of Mathematics (Emeritus) at the University of Liverpool.

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Publisher
Cambridge University Press
Publication date
2010
Language
English
ISBN 10 
0521154057
ISBN 13 
9780521154055
Binding
Paperback
Edition number
3
Number of pages
272
Rating
  • 4.33 out of 5 stars
    6 ratings by Goodreads