The Geometry of Physics: An Introduction - Softcover

Frankel, Theodore

Softcover

ISBN 10: 0521539277 ISBN 13: 9780521539272

Publisher: Cambridge University Press, 2003

Synopsis

This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers, quarks, and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should be of interest also to mathematics students. Ideal for graduate and advanced undergraduate students of physics, engineering and mathematics as a course text or for self study.

About this title

Product Description

Introduces, in a geometrical way, the mathematics needed for a deeper understanding of both classical and modern physics.

Review

'This book will be useful to graduate and advanced undergraduate students of physics, engineering, and mathematics.' Zentralblatt MATH

'This book provides a highly detailed account of the intricacies involved in considering geometrical concepts.' Contemporary Physics

Edition details

• Publisher: Cambridge University Press
• Publication date: 2003
• Language: English
• ISBN 10: 0521539277
• ISBN 13: 9780521539272
• Binding: Paperback
• Edition number: 2
• Number of pages: 694