Graphs Surfaces and Homology is popular PDF and ePub book, written by Peter Giblin in 2010-08-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Graphs Surfaces and Homology can be Read Online from any device for your convenience.
Graphs Surfaces and Homology Book PDF 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.
Detail Book of Graphs Surfaces and Homology PDF
- Author : Peter Giblin
- Release : 12 August 2010
- Publisher : Cambridge University Press
- ISBN : 9781139491174
- Genre : Mathematics
- Total Page : 273 pages
- Language : English
- PDF File Size : 16,5 Mb
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