Contact Geometry And Non Linear Differential Equations

DOWNLOAD

Download Contact Geometry And Non Linear Differential Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Contact Geometry And Non Linear Differential Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Contact Geometry And Non Linear Differential Equations

DOWNLOAD
Author : Alexei Kushner
language : en
Publisher:
Release Date : 2007

Contact Geometry And Non Linear Differential Equations written by Alexei Kushner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Contact manifolds categories.

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

DOWNLOAD
Author : Alexei Kushner
language : en
Publisher:
Release Date : 2005

Contact Geometry And Nonlinear Differential Equations written by Alexei Kushner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Contact Geometry And Nonlinear Differential Equations

DOWNLOAD
Author : Alexei Kushner
language : en
Publisher: Cambridge University Press
Release Date : 2007

Contact Geometry And Nonlinear Differential Equations written by Alexei Kushner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.

Nonlinear Pdes Their Geometry And Applications

DOWNLOAD
Author : Radosław A. Kycia
language : en
Publisher: Springer
Release Date : 2019-05-18

Nonlinear Pdes Their Geometry And Applications written by Radosław A. Kycia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-18 with Mathematics categories.

This volume presents lectures given at the Summer School Wisła 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 2018 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures in the first part of this volume were delivered by experts in nonlinear differential equations and their applications to physics. Original research articles from members of the school comprise the second part of this volume. Much of the latter half of the volume complements the methods expounded in the first half by illustrating additional applications of geometric theory of differential equations. Various subjects are covered, providing readers a glimpse of current research. Other topics covered include thermodynamics, meteorology, and the Monge–Ampère equations. Researchers interested in the applications of nonlinear differential equations to physics will find this volume particularly useful. A knowledge ofdifferential geometry is recommended for the first portion of the book, as well as a familiarity with basic concepts in physics.

Geometric Analysis Of Nonlinear Partial Differential Equations

DOWNLOAD
Author : Valentin Lychagin
language : en
Publisher: MDPI
Release Date : 2021-09-03

Geometric Analysis Of Nonlinear Partial Differential Equations written by Valentin Lychagin and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-03 with Mathematics categories.

This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects.

The Interplay Between Differential Geometry And Differential Equations

DOWNLOAD
Author : Valentin Vasilʹevich Lychagin
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

The Interplay Between Differential Geometry And Differential Equations written by Valentin Vasilʹevich Lychagin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Differential equations, Nonlinear categories.

Nonlinear Symmetries And Nonlinear Equations

DOWNLOAD
Author : G. Gaeta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Symmetries And Nonlinear Equations written by G. Gaeta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The study of (nonlinear) dift"erential equations was S. Lie's motivation when he created what is now known as Lie groups and Lie algebras; nevertheless, although Lie group and algebra theory flourished and was applied to a number of dift"erent physical situations -up to the point that a lot, if not most, of current fun damental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to dift"erential equations remained a sleeping beauty for many, many years. The main reason for this lies probably in a fact that is quite clear to any beginner in the field. Namely, the formidable comple:rity ofthe (algebraic, not numerical!) computations involved in Lie method. I think this does not account completely for this oblivion: in other fields of Physics very hard analytical computations have been worked through; anyway, one easily understands that systems of dOlens of coupled PDEs do not seem very attractive, nor a very practical computational tool.

Geometric Analysis Mathematical Relativity And Nonlinear Partial Differential Equations

DOWNLOAD
Author : Mohammad Ghomi
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-09-25

Geometric Analysis Mathematical Relativity And Nonlinear Partial Differential Equations written by Mohammad Ghomi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-25 with Mathematics categories.

This volume presents the proceedings of the Southeast Geometry Seminar for the meetings that took place bi-annually between the fall of 2009 and the fall of 2011, at Emory University, Georgia Institute of Technology, University of Alabama Birmingham, and the University of Tennessee. Talks at the seminar are devoted to various aspects of geometric analysis and related fields, in particular, nonlinear partial differential equations, general relativity, and geometric topology. Articles in this volume cover the following topics: a new set of axioms for General Relativity, CR manifolds, the Mane Conjecture, minimal surfaces, maximal measures, pendant drops, the Funk-Radon-Helgason method, ADM-mass and capacity, and extrinsic curvature in metric spaces.

Functional Analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations

DOWNLOAD
Author : Helmut Florian
language : en
Publisher: World Scientific
Release Date : 2001

Functional Analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations written by Helmut Florian and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations.This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws.

Functional Analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations Proceedings Of The International Graz Workshop

DOWNLOAD
Author : Helmut Florian
language : en
Publisher: World Scientific
Release Date : 2001-11-12

Functional Analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations Proceedings Of The International Graz Workshop written by Helmut Florian and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-12 with Mathematics categories.

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations.This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws. remove /a remove