Modern Differential Geometry for Physicists (2nd Edition) / Edition 2

Modern Differential Geometry for Physicists (2nd Edition) / Edition 2

5.0 1
by Chris J. Isham
     
 

ISBN-10: 9810235623

ISBN-13: 9789810235628

Pub. Date: 03/28/1999

Publisher: World Scientific Publishing Company, Incorporated

This edition of the invaluable text Modern Differential Geometry for Physicists contains an additional chapter that introduces some of the basic ideas of general topology needed in differential geometry. A number of small corrections and additions have also been made.

These lecture notes are the content of an introductory course on modern, coordinate-free

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Overview

This edition of the invaluable text Modern Differential Geometry for Physicists contains an additional chapter that introduces some of the basic ideas of general topology needed in differential geometry. A number of small corrections and additions have also been made.

These lecture notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by first-year theoretical physics PhD students, or by students attending the one-year Msh course "Fundamental Fields and Forces" at Imperial College. The book is concerned entirely with mathematics proper, although the emphasis and detailed topics have been chosen beating in mind the way in which differential geometry is applied these days to modern theoretical physics. This includes not only the traditional area of general relativity but also the theory of Yang-Mills fields, nonlinear sigma models and other types of nonlinear field systems that feature in modern quantum field theory.

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Product Details

ISBN-13:
9789810235628
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
03/28/1999
Series:
World Scientific Lecture Notes in Physics Series
Edition description:
Second Edition
Pages:
304
Product dimensions:
6.00(w) x 8.40(h) x 0.70(d)

Related Subjects

Table of Contents

1An Introduction to Topology1
2Differentiable Manifolds59
3Vector Fields and n-Forms97
4Lie Groups149
5Fibre Bundles199
6Connections in a Bundle253
Bibliography277
Index281

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Modern Differential Geometry for Physicists 5 out of 5 based on 0 ratings. 1 reviews.
Guest More than 1 year ago
I used to borrow this book from the library but I bought it now because I think it is a good book. Of particular interest to me is the chapter on fiber bundles. In a quite succint way, the author blends organically materials from previous chapters (especially the chapter on Lie groups and Lie algebra) to form an accessible treatment. It explains in a precise yet accessible way the meaning of Yang-Mills field in terms of fiber bundle theory.