Differentiable Manifolds

A Theoretical Physics Approach

Gerardo F. Torres Del Castillo (Autor)

Buch | Softcover

X, 444 Seiten

2021 | 2nd ed. 2020
Springer International Publishing (Verlag)
978-3-030-45195-0 (ISBN)

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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.

lt;b>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.

lt;p>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.

Erscheinungsdatum	25.06.2021
Zusatzinfo	X, 444 p. 138 illus., 2 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	694 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	differentiable manifolds • Differentiable manifolds physics • differential forms algebra • Euler equations • Fiber bundles physics • Hamiltonian classical mechanics • Lie algebras physics • Lie derivatives • Lie groups physics and geometry • Metric tensor • riemannian manifolds • tensor field • time-dependent formalism • Vector field
ISBN-10	3-030-45195-X / 303045195X
ISBN-13	978-3-030-45195-0 / 9783030451950
Zustand	Neuware