Title
Contact Geometry and Nonlinear Differential Equations (Encyclopedia of Mathematics and its Applications, Series Number 101),New
Delivery time: 8-12 business days (International)
Methods from contact and symplectic geometry can be used to solve highly nontrivial 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 HodgedeRham calculus can be applied. In this way a wide class of equations can be tackled, including quasilinear equations and MongeAmpere equations (which play an important role in modern theoretical physics and meteorology).
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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