Differential Geometry with Applications to Mechanics and Physics

1st Edition

Yves Talpaert

CRC Press
Published September 12, 2000
Reference - 480 Pages
ISBN 9780824703851 - CAT# DK1652
Series: Chapman & Hall/CRC Pure and Applied Mathematics

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Summary

An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.

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