Differentiable manifolds : a theoretical physics approach
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The work Differentiable manifolds : a theoretical physics approach represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Differentiable manifolds : a theoretical physics approach
Resource Information
The work Differentiable manifolds : a theoretical physics approach represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Differentiable manifolds : a theoretical physics approach
 Title remainder
 a theoretical physics approach
 Statement of responsibility
 Gerardo F. Torres del Castillo
 Language
 eng
 Summary
 This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work's first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local oneparameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics. Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics
 Cataloging source
 GW5XE
 Dewey number
 516.3/6
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA614.3
 LC item number
 .T67 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
Context
Context of Differentiable manifolds : a theoretical physics approachWork of
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