Symmetry And Separation Of Variables

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Symmetry And Separation Of Variables

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Author : Willard Miller
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28

Symmetry And Separation Of Variables written by Willard Miller 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 1984-12-28 with Mathematics categories.

Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory.

Symmetry And Separation Of Variables

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Author : Willard Miller
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-29

Symmetry And Separation Of Variables written by Willard Miller 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 2012-03-29 with Mathematics categories.

Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory.

Symmetry And Separation Of Variables

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Author : Willard Miller
language : en
Publisher:
Release Date : 1984

Symmetry And Separation Of Variables written by Willard Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Differential equations, Partial categories.

This 1977 volume is concerned with the group-theoretic approach to special functions.

Separation Of Variables And Superintegrability

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Author : E. G. Kalnins
language : en
Publisher: IOP Publishing Limited
Release Date : 2018

Separation Of Variables And Superintegrability written by E. G. Kalnins and has been published by IOP Publishing Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Science categories.

Separation of variables methods for solving partial differential equations are of immense theoretical and practical importance in mathematical physics. They are the most powerful tool known for obtaining explicit solutions of the partial differential equations of mathematical physics. The purpose of this book is to give an up-to-date presentation of the theory of separation of variables and its relation to superintegrability. Collating and presenting in a unified, updated and a more accessible manner the results scattered in the literature the authors have prepared an invaluable resource for mathematicians and mathematical physicists in particular, as well as science, engineering, geological and biological researchers interested in explicit solutions.

Symmetries And Overdetermined Systems Of Partial Differential Equations

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Author : Michael Eastwood
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-23

Symmetries And Overdetermined Systems Of Partial Differential Equations written by Michael Eastwood 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 2009-04-23 with Mathematics categories.

This three-week summer program considered the symmetries preserving various natural geometric structures. There are two parts to the proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.

Partial Differential Equations

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Author : Walter A. Strauss
language : en
Publisher: John Wiley & Sons
Release Date : 2007-12-21

Partial Differential Equations written by Walter A. Strauss and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-21 with Mathematics categories.

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

Symmetry And Separation Of Variables

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Author : Glenn H. Leggett
language : en
Publisher:
Release Date : 1977

Symmetry And Separation Of Variables written by Glenn H. Leggett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.

Symmetries And Nonlinear Phenomena Proceedings Of The International School On Applied Mathematics

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Author : D Levi
language : en
Publisher: World Scientific
Release Date : 1988-12-01

Symmetries And Nonlinear Phenomena Proceedings Of The International School On Applied Mathematics written by D Levi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-01 with Science categories.

Starting from Sophus Lie, the invariance of a differential equation under its continuous group of symmetries has become a major tool for solving ordinary and partial differential equations, in particular, nonlinear ones. The proceedings focus on the application of these techniques to nonlinear partial differential equations. The state of the art in this field is presented clearly in a series of comprehensive lectures. Several lectures on applications point out the physical importance of such methods.

Symmetry Methods For Differential Equations

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Author : Peter E. Hydon
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-13

Symmetry Methods For Differential Equations written by Peter E. Hydon 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 2000-02-13 with Mathematics categories.

A good working knowledge of symmetry methods is very valuable for those working with mathematical models. This book is a straightforward introduction to the subject for applied mathematicians, physicists, and engineers. The informal presentation uses many worked examples to illustrate the major symmetry methods. Written at a level suitable for postgraduates and advanced undergraduates, the text will enable readers to master the main techniques quickly and easily. The book contains some methods not previously published in a text, including those methods for obtaining discrete symmetries and integrating factors.

Separation Of Variables And Superintegrability

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Author : E. G. Kalnins
language : en
Publisher:
Release Date : 2018

Separation Of Variables And Superintegrability written by E. G. Kalnins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Differential equations, Partial categories.

"Separation of variables methods for solving partial differential equations are of immense theoretical and practical importance in mathematical physics. They are the most powerful tool known for obtaining explicit solutions of the partial differential equations of mathematical physics. The purpose of this book is to give an up-to-date presentation of the theory of separation of variables and its relation to superintegrability. Collating and presenting it in a unified, updated and a more accessible manner, the results scattered in the literature that the authors have prepared is an invaluable resource for mathematicians and mathematical physicists in particular, as well as science, engineering, geological and biological researchers interested in explicit solutions." -- Prové de l'editor.