Description - Contact Geometry and Nonlinear Differential Equations by Alexei Kushner
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.
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(234mm x 156mm x 32mm)
Cambridge University Press
Publisher: Cambridge University Press
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Book Reviews - Contact Geometry and Nonlinear Differential Equations by Alexei Kushner
Author Biography - Alexei Kushner
Alexei Kushner is a Professor and Dean of the Department of Mathematics and Computer Science, and a Senior Researcher at the Russian Academy of Sciences. Valentin Lychagin is a Professor at the Institute of Mathematics and Statistics, Tromso University, and a Senior Researcher at the Institute for Theoretical and Experimental Physics in Moscow. Vladimir Rubtsov is a Professor at the Departement de Mathematiques, Angers University, and a Senior Researcher at the Institute for Theoretical and Experimental Physics in Moscow.