Differentiable Manifolds
Autor: | Gerardo F. Torres del Castillo |
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EAN: | 9780817682712 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 14.10.2011 |
Untertitel: | A Theoretical Physics Approach |
Kategorie: | |
Schlagworte: | A Euler equations Hamiltonian mechanics Lie derivatives Manifolds and Cell Complexes (incl. Diff.Topology) Mathematical Methods in Physics Mechanics Riemannian manifolds differentiable manifolds differential forms time-dependent formalism |
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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.
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.