Differentiable Manifolds: A Theoretical Physics Approach

Author:   Gerardo F. Torres del Castillo
Publisher:   Springer Nature Switzerland AG
Edition:   2nd ed. 2020
ISBN:  

9783030451950


Pages:   444
Publication Date:   24 June 2021
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Differentiable Manifolds: A Theoretical Physics Approach


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Overview

This textbook delves into the theory behind differentiable manifolds while exploring various physics applications along the way. Included throughout the book are a collection of exercises of varying degrees of difficulty. Differentiable Manifolds is intended for graduate students and researchers interested in a theoretical physics approach to the subject. Prerequisites include multivariable calculus, linear algebra, and differential equations and a basic knowledge of analytical mechanics.

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Author:   Gerardo F. Torres del Castillo
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   2nd ed. 2020
Weight:   0.816kg
ISBN:  

9783030451950


ISBN 10:   303045195
Pages:   444
Publication Date:   24 June 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.-1 Manifolds.-  2 Lie Derivatives.- 3 Differential Forms.- 4 Integral Manifolds.- 5 Connections .- 6. Riemannian Manifolds.- 7 Lie Groups.- 8 Hamiltonian Classical Mechanics.- References.-Index.

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Author Information

Gerardo F. Torres del Castillo is a professor of physics and mathematics at the Universidad Autónoma de Puebla, where he has taught since 1979. He is the author or coauthor of more than 30 papers on classical mechanics. His other published books are Differentiable Manifolds; 3-D Spinors, Spin-Weighted Functions and their Applications; and Spinors in Four-Dimensional Spaces.

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