Can I read Contact Geometry and Nonlinear Differential Equations (Encyclopedia of Mathematics and its Applications, Series Number 101) on EtoBox?

Contact Geometry and Nonlinear Differential Equations (Encyclopedia of Mathematics and its Applications, Series Number 101) by Alexei Kushner; Valentin Lychagin; Vladimir Rubtsov is a book available to read on EtoBox.

What is Contact Geometry and Nonlinear Differential Equations (Encyclopedia of Mathematics and its Applications, Series Number 101) about?

Methods from contact and symplectic geometry can be used to solve highly non-trivial nonlinear partial and ordinary differential equations without resorting to approximate numerical methods or algebraic computing software. This book explains how it's done. It combines the clarity and accessibility of an advanced textbook with the completeness of an encyclopedia. The basic ideas that Lie and Cartan developed at the end of the nineteenth century to transform solving a differential equation into a problem in geometry or algebra are here reworked in a novel and modern way. Differential equations are considered as a part of contact and symplectic geometry, so that all the machinery of Hodge-deRham calculus can be applied. In this way a wide class of equations can be tackled, including quasi-linear equations and Monge-Ampere equations (which play an important role in modern theoretical physics and meteorology).

Author

Alexei Kushner; Valentin Lychagin; Vladimir Rubtsov

Publisher

Cambridge, UK ; New York: Cambridge University Press

Published

2007

Language

EN

ISBN

9781107398771

Subjects

Mathematics, Stem