Lectures on differential geometry / Iskander A. Taimanov ; translated from the Russian by Gleb V. Dyatlov.

Format:

Book

Author/Creator:

Taĭmanov, I. A. (Iskander Asanovich), 1961-

Contributor:

Rosengarten Family Fund.

European Mathematical Society.

Series:

EMS series of lectures in mathematics

Standardized Title:

Lekt͡sii po different͡sialʹnoĭ geometrii. English

Language:

English

Russian

Subjects (All):

Geometry, Differential--Textbooks.

Geometry, Differential.

Genre:

Lehrbuch.

Textbooks.

Physical Description:

viii, 211 pages : illustrations ; 24 cm

Place of Publication:

Zürich, Switzerland : European Mathematical Society, ©2008.

Summary:

"This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences." "The book is based on lectures the author held repeatedly at Novosibirsk State University. It is addressed to students as well as to anyone who wants to learn the basics of differential geometry."--Jacket

Contents:

pt. I. Curves and surfaces

1. Theory of curves

2. Theory of surfaces

pt. II. Riemannian geometry

3. Smooth manifolds

4. Riemannian manifolds

5. Lobachevskii plane and the Minkowski space

pt. III. Supplement chapters

6. Minimal surfaces and complex analysis

7. Elements of Lie group theory

8. Elements of representation theory

9. Elements of Poisson and symplectic geometry.

Notes:

"The bibliography is shorter than the list that appeared in Russian edition, which contains many publications unavailable in English translation. Hence we have added supplementary reading sources in English."--Preface

"This book is a translation (with minor revisions and corrections) of Лекции по дифференциальной геометрии [Lectures on differential geometry, 2nd ed., Moscow-Izhevsk 2006]."--Preface

Includes bibliographical references (page 205) and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Rosengarten Family Fund.

ISBN:

3037190507

9783037190500

OCLC:

225820267

Publisher Number:

9783037190500