A short course in differential geometry and topology / A.T. Fomenko and A. S. Mishchenko.

Format:

Book

Author/Creator:

Fomenko, A. T.

Contributor:

Mishchenko, A. S. (Aleksandr Sergeevich)

Language:

English

Subjects (All):

Geometry, Differential.

Topology.

Physical Description:

xi, 273 pages : illustrations ; 24 cm

Place of Publication:

Cottenham, Cambridge, UK : Cambridge Scientific Publishers, [2009]

Summary:

"This volume is intended for graduate and research students in mathematics and physics. It covers general topology, nonlinear co-ordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groups, tensor analysis and Riemannian geometry, theory of integration and homologies, fundamental groups and variational principles in Riemannian geometry. The text is presented in a form that is easily accessible to students and is supplemented by a large number of examples, problems, drawings and appendices."--Cambridge Scientific Publishers website, viewed 2 September 2009.

Contents:

1. Introduction to differential geometry

2. General topology

3. Smooth manifolds (general theory)

4. Smooth manifolds (examples)

5. Tensor analysis

6. Homology theory

7. Simplest variational problems of Riemannian geometry.

Notes:

Includes bibliographical references (pages 267-268).

ISBN:

9781904868323

1904868320

OCLC:

436032872