12, ISBN: 9780511889752
ID: 101159780511889752
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 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). Topology, Mathematics, Contact Geometry and Nonlinear Differential Equations~~ Kushner, Alexei~~Topology~~Mathematics~~9780511889752, en, Contact Geometry and Nonlinear Differential Equations, Kushner, Alexei, 9780511889752, Cambridge University Press, 12/01/2006, , , , Cambridge University Press, 12/01/2006
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2006, ISBN: 9780511889752
ID: 18095962
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. 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). eBooks, , Contact Geometry And Nonlinear Differential Equations~~EBook~~9780511889752~~Alexei Kushner, Valentin Lychagin, Vladimir Rubtsov, , Contact Geometry And Nonlinear Differential Equations, Alexei Kushner, 9780511889752, Cambridge University Press, 12/21/2006, , , , Cambridge University Press
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ISBN: 9780511889752
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). eBooks Contact Geometry And Nonlinear Differential Equations~~EBook~~9780511889752~~Alexei Kushner, Valentin Lychagin, Vladimir Rubtsov Contact Geometry And Nonlinear Differential Equations
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ISBN: 9780511889752
ID: 9780511889752
[KW: PDF ,MATHEMATICS , TOPOLOGY ,DIFFERENTIAL RIEMANNIAN GEOMETRY] <-> <-> PDF ,MATHEMATICS , TOPOLOGY ,DIFFERENTIAL RIEMANNIAN GEOMETRY
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Title: | Contact Geometry and Nonlinear Differential Equations |
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Details of the book - Contact Geometry and Nonlinear Differential Equations
EAN (ISBN-13): 9780511889752
Publishing year: 12
Publisher: Cambridge University Press
Book in our database since 25.04.2008 01:38:29
Book found last time on 15.08.2015 15:28:07
ISBN/EAN: 9780511889752
ISBN - alternate spelling:
978-0-511-88975-2
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