MODERN DIFF GEOMETRY FOR PHYS (2ED)(V61)

Second Edition

By: ISHAM C J

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Hardcover | 23 March 1999 | Edition Number 2

At a Glance

Hardcover
306 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 1.91

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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 MSc course “Quantum Fields and Fundamental Forces” at Imperial College. The book is concerned entirely with mathematics proper, although the emphasis and detailed topics have been chosen bearing 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.

The volume is divided into four parts: (i) introduction to general topology; (ii) introductory coordinate-free differential geometry; (iii) geometrical aspects of the theory of Lie groups and Lie group actions on manifolds; (iv) introduction to the theory of fibre bundles. In the introduction to differential geometry the author lays considerable stress on the basic ideas of “tangent space structure”, which he develops from several different points of view — some geometrical, others more algebraic. This is done with awareness of the difficulty which physics graduate students often experience when being exposed for the first time to the rather abstract ideas of differential geometry.

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Non-Fiction Mathematics Geometry Differential & Riemannian Geometry Science Science in General Maths for Scientists Physics Mathematical Physics Booktopia Publisher Services World Scientific Publishing

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Published: 23rd March 1999

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An Introduction to Topology	p. 1
Differentiable Manifolds	p. 59
Vector Fields and n-Forms	p. 97
Lie Groups	p. 149
Fibre Bundles	p. 199
Connections in a Bundle	p. 253
Bibliography	p. 277
Index	p. 281
Table of Contents provided by Blackwell. All Rights Reserved.

MODERN DIFF GEOMETRY FOR PHYS (2ED)(V61)

Second Edition

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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