Geometry, Topology and Physics - Brossura

Nakahara, Mikio

Brossura

ISBN 10: 0852740956 ISBN 13: 9780852740958

Casa editrice: Taylor & Francis, 1990

Riassunto

This textbook provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of the physics needed to follow the arguments - including quantum field theory, gauge theory and general relativity - to make sure all readers set off from the same starting point. Basic theory of vector spaces and topology is also included to make the book self-contained. Working from the basics to the more elaborate concepts of topology and geometry, all is carefully explained and illustrated with applications. Explicit calculations and diagrams clarify the abstract ideas involved. Many illustrations, exercises and problems are included. This book will be invaluable to advanced undergraduates and researchers in many areas of physics.

Su questo libro

Contenuti:

Mathematical preliminaries. Homology groups. Homotopy groups/manifolds. De Rham cohomology groups. Riemannian geometry. Complex manifolds. Fibre bundles. Connections on fibre bundles. Characteristic classes. Index theorems. Anomalies in gauge field theories. Bosonic string theory.

Product Description:

Book by Nakahara Mikio

Su questa edizione

• Editore: Taylor & Francis
• Data di pubblicazione: 1990
• ISBN 10: 0852740956
• ISBN 13: 9780852740958
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 496