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Applied Differential Geometry

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Applied Differential Geometry

Applied Differential Geometry

William L. Burke
July 1985
Paperback
9780521269292
$126.00
USD
Paperback
USD
eBook
    Description

    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.

    Product details

    July 1985
    Paperback
    9780521269292
    436 pages
    228 × 149 × 24 mm
    0.57kg
    Available

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    Table of Contents

    • Preface
    • Glossary of notation
    • Introduction
    • 1. Tensors in linear spaces
    • 2. Manifolds
    • 3. Transformations
    • 4. The calculus of differential forms
    • 5. Applications of the exterior calculus
    • 6. Classical electrodynamics
    • 7. Dynamics of particles and fields
    • 8. Calculus on fiber bundles
    • 9. Gravitation
    • Bibliography
    • Index.
      • Show more
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    About the authors
      Author
    • William L. Burke

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