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Viac informácií o knihe Contact Geometry and Nonlinear Differential Equations

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

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Anotácia knihy

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).

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Geometry

• Celý názov: Contact Geometry and Nonlinear Differential Equations
• Autor: Kushner, Alexei (Astrakhan State University, Russia), Lychagin, Valentin (Universitetet i Tromso, Norway), Rubtsov, Vladimir (Universite d'Angers, France)
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 518
• EAN: 9780521824767
• ISBN: 0521824761
• ID: 02045368
• Nakladateľ: Cambridge University Press
• Hmotnosť: 864 g
• Rozmery: 241 × 162 × 32 mm
• Dátum vydania: 21. December 2006

Obľúbené z iného súdka

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