Introduction to Differentiable Manifolds

Serge Lang

250 pages, parution le 31/10/2002 (2^eme édition)

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Résumé

This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. A certain number of concepts are essential for all three of these areas, and are so basic and elementary, that it is worthwhile to collect them together so that more advanced expositions can be given without having to start from the very beginning. The concepts are concerned with the general basic theory of differential manifolds.
As a result, this book can be viewed as a prerequisite to Fundamentals of Differential Geometry. Since this book is intended as a text to follow advanced calculus, manifolds are assumed finite dimensional. In the new edition of this book, the author has made numerous corrections to the text and he has added a chapter on applications of Stokes' Theorem.

Contents

Foreword
Acknowledgments
Differential Calculus
Manifolds
Vector Bundles
Vector Fields and Differential Equations
Operations on Vector Fields and Differential Forms
The Theorem of Frobenius
Metrics
Integration of Differential Forms
Stokes' Theorem
Applications of Stokes' Theorem.

L'auteur - Serge Lang

Professeur à Yale University

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Serge Lang
Parution	31/10/2002
Édition	2^eme édition
Nb. de pages	250
Format	16 x 24
Couverture	Relié
Poids	525g
Intérieur	Noir et Blanc
EAN13	9780387954776
ISBN13	978-0-387-95477-6