The Geometry of Physics

The Geometry of Physics

Author: Theodore Frankel

Publisher: Cambridge University Press

ISBN: 9781139505611

Category: Mathematics

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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 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. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.
The Geometry of Physics
Language: en
Pages: 694
Authors: Frankel Theodore
Categories: Geometry, Differential
Type: BOOK - Published: 2005 - Publisher: 清华大学出版社有限公司

Books about The Geometry of Physics
The Geometry of Physics
Language: en
Pages:
Authors: Theodore Frankel
Categories: Mathematics
Type: BOOK - Published: 2011-11-03 - Publisher: Cambridge University Press

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
The Geometry of Special Relativity - a Concise Course
Language: en
Pages: 143
Authors: Norbert Dragon
Categories: Science
Type: BOOK - Published: 2012-08-01 - Publisher: Springer Science & Business Media

In this concise primer it is shown that, with simple diagrams, the phenomena of time dilatation, length contraction and Lorentz transformations can be deduced from the fact that in a vacuum one cannot distinguish physically straight and uniform motion from rest, and that the speed of light does not depend
The Geometry of Special Relativity
Language: en
Pages: 196
Authors: Tevian Dray
Categories: Mathematics
Type: BOOK - Published: 2021-06-10 - Publisher: CRC Press

This unique book presents a particularly beautiful way of looking at special relativity. The author encourages students to see beyond the formulas to the deeper structure. The unification of space and time introduced by Einstein’s special theory of relativity is one of the cornerstones of the modern scientific description of
Quantum Mechanics in the Geometry of Space-Time
Language: en
Pages: 119
Authors: Roger Boudet
Categories: Science
Type: BOOK - Published: 2011-06-13 - Publisher: Springer Science & Business Media

This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real space-time algebra, thus revealing a geometric meaning for the “number