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Differentiable Manifolds
A Theoretical Physics Approach
Buch von Gerardo F. Torres del Castillo
Sprache: Englisch

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Beschreibung
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.
Über den Autor
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.
Zusammenfassung

Introduces differentiable manifolds using a theoretical physics approach

Includes applications to differential geometry and general relativity

Expands on the first edition with additional examples, more exercises, new topics, and a complete solutions manual

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2020
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 456
Inhalt: x
444 S.
136 s/w Illustr.
2 farbige Illustr.
1 farbige Tab.
444 p. 138 illus.
2 illus. in color.
ISBN-13: 9783030451929
ISBN-10: 3030451925
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Torres del Castillo, Gerardo F.
Auflage: 2nd ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 241 x 160 x 29 mm
Von/Mit: Gerardo F. Torres del Castillo
Erscheinungsdatum: 24.06.2020
Gewicht: 0,929 kg
preigu-id: 118079150
Über den Autor
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.
Zusammenfassung

Introduces differentiable manifolds using a theoretical physics approach

Includes applications to differential geometry and general relativity

Expands on the first edition with additional examples, more exercises, new topics, and a complete solutions manual

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2020
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 456
Inhalt: x
444 S.
136 s/w Illustr.
2 farbige Illustr.
1 farbige Tab.
444 p. 138 illus.
2 illus. in color.
ISBN-13: 9783030451929
ISBN-10: 3030451925
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Torres del Castillo, Gerardo F.
Auflage: 2nd ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 241 x 160 x 29 mm
Von/Mit: Gerardo F. Torres del Castillo
Erscheinungsdatum: 24.06.2020
Gewicht: 0,929 kg
preigu-id: 118079150
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