Graphs, Surfaces and Homology

Informationen zum Autor Peter Giblin is a Professor of Mathematics (Emeritus) at the University of Liverpool. Klappentext An elementary introduction to homology theory suitable for undergraduate courses or for self-study. Zusammenfassung This is an undergraduate level introduction to homology that will appeal to students interested in the application of algebra to geometrical problems! specifically the study of surfaces (sphere! torus! Mobius band! Klein bottle). Numerous examples and exercises are included! making this an ideal text either for teaching or for self-study. Inhaltsverzeichnis Preface to the third edition; Preface to the first edition; List of notation; Introduction; 1. Graphs; 2. Closed surfaces; 3. Simplicial complexes; 4. Homology groups; 5. The question of invariance; 6. Some general theorems; 7. Two more general theorems; 8. Homology modulo 2; 9. Graphs in surfaces; Appendix. Abelian groups; References; Index.

Product details

• Authors: Peter Giblin, Peter (University of Liverpool) Giblin, Giblin Peter
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 12.08.2010
• EAN: 9780521154055
• ISBN: 978-0-521-15405-5
• Dimensions: 152 mm x 228 mm x 15 mm
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Topology, geometry, Topology, Algebraic Topology