The Geometry of Physics: An Introduction - Hardcover

Frankel, Theodore

Hardcover

ISBN 10: 052138334X ISBN 13: 9780521383349

Publisher: Cambridge University Press, 1997

Synopsis

This book is intended to provide 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, 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. 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 also be of interest to mathematics students. This book will be useful to graduate and advanced undergraduate students of physics, engineering and mathematics. It can be used as a course text or for self study.

About this title

Book Description:

This book is intended to provide a working knowledge of those parts of geometry that are essential for a deeper understanding of both classical and modern physics and engineering. This book will be useful to graduate and advanced undergraduate students of physics, engineering and mathematics.

Review:

' ... extremely helpful for students in physics and engineering ... recommended to a wide audience ...' European Mathematical Society

'The layout, the typography and the illustrations of this advanced textbook on modern mathematical methods are all very impressive and so are the topics covered in the text.' Zentralblatt für Mathematik und ihre Grenzgebiete

About this edition

• Publisher: Cambridge University Press
• Publication date: 1997
• ISBN 10: 052138334X
• ISBN 13: 9780521383349
• Binding: Hardcover
• Edition number: 1
• Number of pages: 678