Lectures On Cauchy S Problem In Linear Partial Differential Equations Cauchy S Problem In Linear Partial Differential Equation
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Lectures On Cauchy S Problem In Linear Partial Differential Equations
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Author : Jacques Hadamard
language : en
Publisher: Courier Corporation
Release Date : 2014-08-25
Lectures On Cauchy S Problem In Linear Partial Differential Equations written by Jacques Hadamard and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-25 with Mathematics categories.
Would well repay study by most theoretical physicists." — Physics Today "An overwhelming influence on subsequent work on the wave equation." — Science Progress "One of the classical treatises on hyperbolic equations." — Royal Naval Scientific Service Delivered at Columbia University and the Universities of Rome and Zürich, these lectures represent a pioneering investigation. Jacques Hadamard based his research on prior studies by Riemann, Kirchhoff, and Volterra. He extended and improved Volterra's work, applying its theories relating to spherical and cylindrical waves to all normal hyperbolic equations instead of only to one. Topics include the general properties of Cauchy's problem, the fundamental formula and the elementary solution, equations with an odd number of independent variables, and equations with an even number of independent variables and the method of descent.
Lectures On Cauchy S Problem In Linear Partial Differential Equations
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Author : Jacques Hadamard
language : en
Publisher:
Release Date : 2019
Lectures On Cauchy S Problem In Linear Partial Differential Equations written by Jacques Hadamard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Lectures On Cauchy S Problem In Linear Partial Differential Equations Classic Reprint
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Author : Jacques Hadamard
language : en
Publisher: Forgotten Books
Release Date : 2017-09-18
Lectures On Cauchy S Problem In Linear Partial Differential Equations Classic Reprint written by Jacques Hadamard and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-18 with Mathematics categories.
Excerpt from Lectures on Cauchy's Problem in Linear Partial Differential Equations Picard's researches - which we shall quote in their place - are also essential in several parts of the present work. Such is also the case for Le Roux. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
The Cauchy Problem
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Author : Hector O. Fattorini
language : en
Publisher: Cambridge University Press
Release Date : 1983
The Cauchy Problem written by Hector O. Fattorini 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 1983 with Mathematics categories.
This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students.
Inverse Problems For Partial Differential Equations
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Author : Victor Isakov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Inverse Problems For Partial Differential Equations written by Victor Isakov 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 2013-06-29 with Mathematics categories.
This book describes the contemporary state of the theory and some numerical aspects of inverse problems in partial differential equations. The topic is of sub stantial and growing interest for many scientists and engineers, and accordingly to graduate students in these areas. Mathematically, these problems are relatively new and quite challenging due to the lack of conventional stability and to nonlinearity and nonconvexity. Applications include recovery of inclusions from anomalies of their gravitational fields; reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurements, recovery of interior structural parameters of detail of machines and of the underground from similar data (non-destructive evaluation); and locating flying or navigated objects from their acoustic or electromagnetic fields. Currently, there are hundreds of publica tions containing new and interesting results. A purpose of the book is to collect and present many of them in a readable and informative form. Rigorous proofs are presented whenever they are relatively short and can be demonstrated by quite general mathematical techniques. Also, we prefer to present results that from our point of view contain fresh and promising ideas. In some cases there is no com plete mathematical theory, so we give only available results. We do not assume that a reader possesses an enormous mathematical technique. In fact, a moderate knowledge of partial differential equations, of the Fourier transform, and of basic functional analysis will suffice.
Problems And Methods In Partial Differential Equations
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Author : F. J. Bureau
language : en
Publisher:
Release Date : 1959
Problems And Methods In Partial Differential Equations written by F. J. Bureau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Cauchy problem categories.
Finite Difference Schemes And Partial Differential Equations
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Author : John C. Strikwerda
language : en
Publisher: SIAM
Release Date : 2004-01-01
Finite Difference Schemes And Partial Differential Equations written by John C. Strikwerda and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.
This book provides a unified and accessible introduction to the basic theory of finite difference schemes applied to the numerical solution of partial differential equations. Its objective is to clearly present the basic methods necessary to perform finite difference schemes and to understand the theory underlying the schemes.
Geometric Analysis Of Pde And Several Complex Variables
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Author : Francois Treves
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Geometric Analysis Of Pde And Several Complex Variables written by Francois Treves 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 2005 with Mathematics categories.
This volume is dedicated to Francois Treves, who made substantial contributions to the geometric side of the theory of partial differential equations (PDEs) and several complex variables. One of his best-known contributions, reflected in many of the articles here, is the study of hypo-analytic structures. An international group of well-known mathematicians contributed to the volume. Articles generally reflect the interaction of geometry and analysis that is typical of Treves's work, such as the study of the special types of partial differential equations that arise in conjunction with CR-manifolds, symplectic geometry, or special families of vector fields. There are many topics in analysis and PDEs covered here, unified by their connections to geometry. The material is suitable for graduate students and research mathematicians interested in geometric analysis of PDEs and several complex variables.
Fields Medallists Lectures 2nd Edition
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Author : Michael Atiyah
language : en
Publisher: World Scientific
Release Date : 2003-11-03
Fields Medallists Lectures 2nd Edition written by Michael Atiyah and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-03 with Mathematics categories.
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics — and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes.A list of Fields Medallists and their contributions provides a bird's-eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from Fields Medallists and so provides a highly interesting and varied picture.The second edition of Fields Medallists' Lectures features additional contributions from the following Medallists: Kunihiko Kodaira (1954), Richard E Borcherds (1998), William T Gowers (1998), Maxim Kontsevich (1998), Curtis T McMullen (1998) and Vladimir Voevodsky (2002).
Fields Medallists Lectures
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Author : Michael Atiyah
language : en
Publisher: World Scientific
Release Date : 1997-10-13
Fields Medallists Lectures written by Michael Atiyah and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-13 with Mathematics categories.
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.