Differential and Riemannian Manifolds

By:

Serge Lang

Format:

Hardback

Series:

Graduate Texts in Mathematics,

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Description

This is the third version of a book on Differential Manifolds; in this latest expansion three chapters have been added on Riemannian and pseudo-Riemannian geometry, and the section on sprays and Stokes' theorem have been rewritten.This text provides an introduction to basic concepts in differential topology, differential geometry and differential equations. In differential topology one studies classes of maps and the possibility of finding differentiable maps in them, and one uses differentiable structures on manifolds to determine their topological structure. In differential geometry one adds structures to the manifold (vector fields, sprays, a metric, and so forth) and studies their properties. In differential equations one studies vector fields and their integral curves, singular points, stable and unstable manifolds, and the like.

Release date NZ

March 9th, 1995

Author

Serge Lang

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Edition

3rd ed. 1995

Illustrations

XIV, 364 p.

Pages

364

Series

Graduate Texts in Mathematics,

Dimensions

156x234x22

ISBN-13

9780387943381

Product ID

2434490

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