Differentiable Manifolds
A Theoretical Physics Approach
(Sprache: Englisch)
The theory of differentiable manifolds extends the application of Rn spaces calculus to sets that do not possess the structure of a normed vector space. This textbook explores the theory of differentiable manifolds while detailing various physics applications.
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The theory of differentiable manifolds extends the application of Rn spaces calculus to sets that do not possess the structure of a normed vector space. This textbook explores the theory of differentiable manifolds while detailing various physics applications.
Klappentext zu „Differentiable Manifolds “
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.
Inhaltsverzeichnis zu „Differentiable Manifolds “
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.
Autoren-Porträt von Gerardo F. Torres del Castillo
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.
Bibliographische Angaben
- Autor: Gerardo F. Torres del Castillo
- 2020, 2. Aufl., X, 444 Seiten, 2 farbige Abbildungen, Masse: 16 x 23,9 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3030451925
- ISBN-13: 9783030451929
Sprache:
Englisch
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