Read Lecture Notes on Geometrical Aspects of Partial Differential Equations

Lecture Notes on Geometrical Aspects of Partial Differential Equations

V.V. Zharinov

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Description:This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text.Contents: "Introduction: Internal Geometry of PDE: "Differential ManifoldsLie-Backlund MappingsLie-Backlund Fields and Infinitesimal SymmetriesCartan Forms, Currents and Conservation LawsC-Spectral Sequence. Further Properties of Conservation LawsTrivial Equations. The Formal Variational CalculusEvolution Equations"External Geometry of PDE: "Differential SubmanifoldsNormal Projection. External Fields and FormsTrivial Ambient Differential ManifoldsThe Characteristic MappingThe Green's FormulaLow-Dimensional Conservation LawsBacklund Correspondence"Further Studies: "Lagrangian FormalismHamiltonian EquationsExample: The Nambu's String"Appendix"Readership: Graduate students and researchers in mathematical physics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Lecture Notes on Geometrical Aspects of Partial Differential Equations. To get started finding Lecture Notes on Geometrical Aspects of Partial Differential Equations, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 372

Format: PDF, EPUB & Kindle Edition

Publisher: World Scientific Publishing Company

Release: 2014

ISBN: 1299280900

Description: This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text.Contents: "Introduction: Internal Geometry of PDE: "Differential ManifoldsLie-Backlund MappingsLie-Backlund Fields and Infinitesimal SymmetriesCartan Forms, Currents and Conservation LawsC-Spectral Sequence. Further Properties of Conservation LawsTrivial Equations. The Formal Variational CalculusEvolution Equations"External Geometry of PDE: "Differential SubmanifoldsNormal Projection. External Fields and FormsTrivial Ambient Differential ManifoldsThe Characteristic MappingThe Green's FormulaLow-Dimensional Conservation LawsBacklund Correspondence"Further Studies: "Lagrangian FormalismHamiltonian EquationsExample: The Nambu's String"Appendix"Readership: Graduate students and researchers in mathematical physics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Lecture Notes on Geometrical Aspects of Partial Differential Equations. To get started finding Lecture Notes on Geometrical Aspects of Partial Differential Equations, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Lecture Notes on Geometrical Aspects of Partial Differential Equations

Lecture Notes on Geometrical Aspects of Partial Differential Equations

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