Gerardo F. Torres del Castillo

Differentiable Manifolds (eBook, PDF)

A Theoretical Physics Approach

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Basel AG
• Seitenzahl: 275
• Erscheinungstermin: 9. Oktober 2011
• Englisch
• ISBN-13: 9780817682712
• Artikelnr.: 37348747

Autorenporträt

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.

Inhaltsangabe

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.