Contact Geometry and Nonlinear Differential Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Kushner, Alexei/ Lychagin, Valentin/ Rubtsov, Vladimir 作者

译者

2007-2 出版日期

518 页数

$ 266.68 价格

丛书系列

9780521824767 图书编码

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Contact Geometry and Nonlinear Differential Equations 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Contact Geometry and Nonlinear Differential Equations 在线电子书图书描述

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).

Contact Geometry and Nonlinear Differential Equations 在线电子书下载 mobi epub pdf txt 在线电子书下载

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