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Geometry, Particles, and Fields : Graduate Texts in Contemporary Physics - Bjoern Felsager

Geometry, Particles, and Fields

Graduate Texts in Contemporary Physics

Hardcover

Published: January 1998
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"The present volume is a welcome edition to the growing number of books that develop geometrical language and use it to describe new developments in particle physics ... It provides clear treatment that is accessible to graduate students with a knowledge of advanced calculus and of classical physics.... The second half of the book deals with the principles of differential geometry and its applications, with a mathematical machinery of very wide range. Here clear line drawings and illustrations supplement the multitude of mathematical definitions. This section, in its clarity and pedagogy, is reminiscent of Gravitation by Charles Misner, Kip Thorne and John Wheeler.... Felsager gives a very clear presentation of the use of geometric methods in particle physics.... For those who have resisted learning this new language, his book provides a very good introduction as well as physical motivation. The inclusion of numerous exercises, worked out, renders the book useful for independent study also. I hope this book will be followed by others from authors with equal flair to provide a readable excursion into the next step." -Physics Today Topics covered include: - Basic Properties of Particles and Fields - Electromagnetism; - Interaction of Fields and Particles - Dynamics of Classical Fields - Solitons - Path Integrals and Instantons - Basic Principles and Applications of Differential Geometry - Differentiable Manifolds and Tensor Analysis - Differential Forms and the Exterior Algebra - Integral Calculus on Manifolds - Dirac Monopoles - Smooth Maps and Winding Numbers - Symmetries and Conservation Laws

FROM THE REVIEWS: MATHEMATICAL REVIEWS "It is particularly well-suited as an introductory text, since the author takes great care to anticipate points that may cause confusion!The author does a good job of focusing on the fundamentals![The first] part of the book works as either a self-contained introduction to classical field theory, or as a complement to a good text on classical electrodynamics![The second] part of the book is very clear and well planned!works as a self-contained introduction to manifolds and differential forms, or, even better, as a compliment to a concise mathematics text." PHYSICS TODAY "The present volume is a welcome edition to the growing number of books that develop geometrical language and use it to describe new developments in particle physics ... It provides clear treatment that is accessible to graduate students with a knowledge of advanced calculus and of classical physics... The second half of the book deals with the principles of differential geometry and its applications, with a mathematical machinery of very wide range. Here clear line drawings and illustrations supplement the multitude of mathematical definitions. This section, in its clarity and pedagogy, is reminiscent of Gravitation by Charles Misner, Kip Thorne and John Wheeler... Felsager gives a very clear presentation of the use of geometric methods in particle physics... For those who have resisted learning this new language, his book provides a very good introduction as well as physical motivation. The inclusion of numerous exercises, worked out, renders the book useful for independent study also. I hope this book will be followed by others from authors with equal flair to provide a readable excursion into the next step."

Preface
Electromagnetismp. 3
Interaction of Fields and Particlesp. 32
Dynamics of Classical Fieldsp. 86
Solitonsp. 133
Path Integrals and Instantonsp. 176
Differentiable Manifold - Tensor Analysisp. 257
Differential Forms and the Exterior Calculusp. 334
Integral Calculus on Manifoldsp. 402
Dirac Monopolesp. 484
Smooth Maps - Winding Numbersp. 534
Symmetries and Conservation Lawsp. 614
Indexp. 667
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387982670
ISBN-10: 0387982671
Series: Graduate Texts in Contemporary Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 672
Published: January 1998
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.81
Weight (kg): 2.5