Contact geometry and non-linear differential equations / Alexei Kushner, Valentin Lychagin and Vladimir Rubtsov.

Format:

Book

Author/Creator:

Kushner, Alexei.

Contributor:

Lychagin, V. V. (Valentin Vasilʹevich)

Rubtsov, Vladimir, 1952-

Series:

Encyclopedia of mathematics and its applications ; v. 101.

Encyclopedia of mathematics and its applications ; v. 101

Language:

English

Subjects (All):

Contact manifolds.

Differential equations, Nonlinear.

Physical Description:

xxi, 496 pages : illustrations ; 24 cm.

Place of Publication:

Cambridge, UK ; New York : Cambridge University Press, 2007.

Summary:

With the growing interest in the use of symmetry methods in applied mathematics, this book presents a comprehensive overview of the differential geometric view of the subject. The authors begin with a background chapter on calculus on manifolds, and then proceed to more advanced topics and applications, especially concerning singularities of the Monge-Ampere equations that describe many phenomena in geophysical fluid dynamics, for example. The authors describe many application areas and include computer code for implementing some of the techniques they describe. The book is richly illustrated.

Notes:

Includes bibliographical references (pages 487-492) and index.

ISBN:

0521824761

9780521824767

OCLC:

60560104