Fundamentals of Differential Geometry

By:

Serge Lang

Format:

Hardback

Series:

Graduate Texts in Mathematics,

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Description

This is the new edition of Serge Lang's "Differential and Riemannian Manifolds. " This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for differential equations and the flow of a vector field; the basic theory of vector bundles including the existence of tubular neighborhoods for a submanifold; the calculus of differential forms; basic notions of symplectic manifolds, including the canonical 2-form; sprays and covariant derivatives for Riemannian and pseudo-Riemannian manifolds; applications to the exponential map, including the Cartan-Hadamard theorem and the first basic theorem of calculus of variations.

Release date NZ

December 30th, 1998

Author

Serge Lang

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

XVII, 540 p.

Pages

540

Series

Graduate Texts in Mathematics,

Dimensions

156x234x31

ISBN-13

9780387985930

Product ID

2434738

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