Synthetic Geometry of Manifolds

Informationen zum Autor Anders Kock is Professor Emeritus in the Department of Mathematical Sciences at Aarhus University, Denmark. Klappentext An elegant book that is sure to become the standard introduction to synthetic differential geometry. Zusammenfassung This elegant book is certain to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry! namely 'prolongation spaces' or neighbourhoods of the diagonal. The clear presentation makes this tract ideal for graduate students and researchers wishing to familiarize themselves with the field. Inhaltsverzeichnis Preface; 1. Calculus and linear algebra; 2. Geometry of the neighbour relation; 3. Combinatorial differential forms; 4. The tangent bundle; 5. Groupoids; 6. Lie theory; non-abelian covariant derivative; 7. Jets and differential operators; 8. Metric notions; Appendix; Bibliography; Index.

Product details

• Authors: Anders Kock, Anders (Aarhus Universitet Kock
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 19.11.2009
• EAN: 9780521116732
• ISBN: 978-0-521-11673-2
• No. of pages: 312
• Series: Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry