Differentiable Manifolds A Theoretical Physics Approach 2nd Edition by Gerardo Torres Del Castillo 0817682712 9780817682712

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Product details:

ISBN 10: 0817682712 

ISBN 13: 9780817682712

Author:  Gerardo F. Torres Del Castillo 

This textbook explores the theory behind differentiable manifolds and investigates various physics applications along the way. Basic concepts, such as differentiable manifolds, differentiable mappings, tangent vectors, vector fields, and differential forms, are briefly introduced in the first three chapters. Chapter 4 gives a concise introduction to differential geometry needed in subsequent chapters. Chapters 5 and 6 provide interesting applications to connections and Riemannian manifolds. Lie groups and Hamiltonian mechanics are closely examined in the last two chapters. 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, differential equations, and a basic knowledge of analytical mechanics.

Differentiable Manifolds A Theoretical Physics Approach 2nd table of contents: 

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

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Tags: Differentiable, Manifolds, Theoretical Physics, Approach, Gerardo Torres Del Castillo