Differentiable Manifolds
A Theoretical Physics Approach
Seiten
2011
|
2012
Birkhauser Boston Inc (Verlag)
978-0-8176-8270-5 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-8270-5 (ISBN)
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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.
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.
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.
Gerardo Torres del Castillo has published two books previously, both in Birkhauser's Progress in Mathematical Physics series: 3-D Spinors, Spin-Weighted Functions and their Applications, and Spinors in Four-Dimensional Spaces.
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.
| Zusatzinfo | 20 Illustrations, black and white; VIII, 275 p. 20 illus. |
|---|---|
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 594 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| ISBN-10 | 0-8176-8270-8 / 0817682708 |
| ISBN-13 | 978-0-8176-8270-5 / 9780817682705 |
| Zustand | Neuware |
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