Applied Differential Geometry

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Paperback | 9 September 1985

At a Glance

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436 Pages

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22.86 x 15.24 x 2.46

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This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.

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Non-Fiction Science Physics Mathematical Physics Mathematics Geometry Differential & Riemannian Geometry Science in General Topology

Preface
Glossary of notation
Introduction
Tensors in linear spaces
Manifolds
Transformations
The calculus of differential forms
Applications of the exterior calculus
Classical electrodynamics
Dynamics of particles and fields
Calculus on fiber bundles
Gravitation
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Applied Differential Geometry

At a Glance

Paperback

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