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.
Reviews
"The book is written in a very understandable and systematic way, with a lot of figures. A very good feature of the book is a collection of more than 130 exercises and problems ... . The book can be recommended for a wide range of students as a first book to read on the subject. It can be also useful for the preparation of courses on the topic." - EMS Newsletter ". . .a self-contained introduction to differential geometry. . ..very succinct." ---Monatshefte fur Mathematik



Book Information
ISBN 9780824703851
Author Yves Talpaert
Format Hardback
Page Count 476
Imprint CRC Press Inc
Publisher Taylor & Francis Inc
Weight(grams) 907g