ISBN: 9780521824767

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 metho… More...

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). New Textbooks>Hardcover>Science>Mathematics>Mathematics, Cambridge University Press Core >2 >T<

ISBN: 9780521824767

Explains how to solve highly non-trivial nonlinear partial and ordinary differential equations using methods from contact and symplectic geometry. Combining the clarity and accessibility … More...

Explains how to solve highly non-trivial nonlinear partial and ordinary differential equations using methods from contact and symplectic geometry. Combining the clarity and accessibility of an advanced textbook with the completeness of an encyclopedia, it contains applications to problems ranging from Lie's classification problem to analysis of laser beams. Bücher > Fremdsprachige Bücher > Englische Bücher 240 x 161 x 34 mm , Cambridge University Press, Gebundene Ausgabe, Cambridge University Press<

ISBN: 9780521824767

Hardback, [PU: Cambridge University Press], Explains how to solve highly non-trivial nonlinear partial and ordinary differential equations using methods from contact and symplectic geomet… More...

Hardback, [PU: Cambridge University Press], Explains how to solve highly non-trivial nonlinear partial and ordinary differential equations using methods from contact and symplectic geometry. Combining the clarity and accessibility of an advanced textbook with the completeness of an encyclopedia, it contains applications to problems ranging from Lie's classification problem to analysis of laser beams., Differential & Riemannian Geometry<

2006, ISBN: 0521824761

Gebundene Ausgabe MATHEMATICS / Topology, mit Schutzumschlag 11, [PU:Cambridge University Press]