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- DescriptionHomology 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 kwledge, 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.
- Author BiographyPeter Giblin is a Professor of Mathematics (Emeritus) at the University of Liverpool.
- Author(s)Peter Giblin
- PublisherCambridge University Press
- Date of Publication12/08/2010
- SubjectScience & Mathematics: Textbooks & Study Guides
- Place of PublicationCambridge
- Country of PublicationUnited Kingdom
- ImprintCambridge University Press
- Content Note150 b/w illus. 200 exercises
- Weight400 g
- Width152 mm
- Height228 mm
- Spine15 mm
- Format DetailsTrade paperback (US)
- Edition Statement3rd Revised edition
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