Differentiable Manifolds: A Theoretical Physics Approach - Rilegato

Torres Del Castillo, Gerardo F.

Rilegato

ISBN 10: 0817682708 ISBN 13: 9780817682705

Casa editrice: Birkhauser, 2011

Riassunto

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.

Su questo libro

Informazioni sull?autore

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.

Dalla quarta di copertina

This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics.

The work s first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics.

Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics.

Dettagli dell'edizione

• Editore: Birkhauser
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 0817682708
• ISBN 13: 9780817682705
• Rilegatura: Copertina rigida
• Numero di pagine: 275
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile