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Partial Differential Operators And Mathematical Physics
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Book Synopsis Partial Differential Equations of Mathematical Physics by : S. L. Sobolev
Download or read book Partial Differential Equations of Mathematical Physics written by S. L. Sobolev and published by Courier Corporation. This book was released on 1964-01-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.
Book Synopsis Mathematical Physics with Partial Differential Equations by : James Kirkwood
Download or read book Mathematical Physics with Partial Differential Equations written by James Kirkwood and published by Academic Press. This book was released on 2012-01-20 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.
Book Synopsis Partial Differential Equations in Classical Mathematical Physics by : Isaak Rubinstein
Download or read book Partial Differential Equations in Classical Mathematical Physics written by Isaak Rubinstein and published by Cambridge University Press. This book was released on 1998-04-28 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.
Book Synopsis Partial Differential Equations of Mathematical Physics by : Arthur Godon Webster
Download or read book Partial Differential Equations of Mathematical Physics written by Arthur Godon Webster and published by Courier Dover Publications. This book was released on 2016-06-20 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.
Book Synopsis Partial Differential Equations of Mathematical Physics by : Tyn Myint U.
Download or read book Partial Differential Equations of Mathematical Physics written by Tyn Myint U. and published by . This book was released on 1980 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Equations of Mathematical Physics by : A. N. Tikhonov
Download or read book Equations of Mathematical Physics written by A. N. Tikhonov and published by Courier Corporation. This book was released on 2013-09-16 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.
Book Synopsis Partial Differential Operators and Mathematical Physics by : Michael Demuth
Download or read book Partial Differential Operators and Mathematical Physics written by Michael Demuth and published by Birkhäuser. This book was released on 2012-12-06 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the contributions to the conference on "Partial Differential Equations" held in Holzhau (Germany) in July 1994, where outstanding specialists from analysis, geometry and mathematical physics reviewed recent progress and new interactions in these areas. Topics of special interest at the conference and which now form the core of this volume are hyperbolic operators, spectral theory for elliptic operators, eta-invariant, singular configura- tions and asymptotics, Bergman-kernel, attractors of non-autonomous evolution equations, pseudo-differential boundary value problems, Mellin pseudo- differential operators, approximation and stability problems for elliptic operators, and operator determinants. In spectral theory adiabatic and semiclassical limits, Dirichlet decoupling and domain perturbations, capacity of obstacles, limiting absorption problems, N-body scattering, and number of bound states are considered. Schrödinger operators are studied with magnetic fields, with random and with many-body potentials, and for nonlinear problems. In semigroup theory the Feller property, errors for product formulas, fractional powers of generators, and functional integration for relativistic semigroups are analyzed.
Book Synopsis Fundamental Solutions for Differential Operators and Applications by : Prem Kythe
Download or read book Fundamental Solutions for Differential Operators and Applications written by Prem Kythe and published by Springer Science & Business Media. This book was released on 1996-07-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.
Book Synopsis Partial Differential Equations by : H. Bateman
Download or read book Partial Differential Equations written by H. Bateman and published by Walton Press. This book was released on 2008-11 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: PARTIAL DIFFERENTIAL EQUATIONS OF MATHEMATICAL PHYSICS BY H. BAT EM AN, M. A., PH. D. Late Fellow of Trinity College, Cambridge Professor of Mathematics, Theoretical Physics and Aeronautics, California Institute of Technology, Pasadena, California NEW YORK DOVER PUBLICATIONS 1944 First Edition 1932 First American Edition 1944 By special arrangement with the Cambridge University Press and The Macmillan Co. Printed in the U. S. A. Dedicated to MY MOTHER CONTENTS PREFACE page xiii INTRODUCTION xv-xxii CHAPTER I THE CLASSICAL EQUATIONS 1-11-1-14. Uniform motion, boundary conditions, problems, a passage to the limit. 1-7 1-15-1-19. Fouriers theorem, Fourier constants, Cesaros method of summation, Parsevals theorem, Fourier series, the expansion of the integral of a bounded function which is continuous bit by bit. . 7-16 1-21-1-25. The bending of a beam, the Greens function, the equation of three moments, stability of a strut, end conditions, examples. 16-25 1 31-1-36. F ee undamped vibrations, simple periodic motion, simultaneous linear equations, the Lagrangian equations of motion, normal vibrations, com pound pendulum, quadratic forms, Hermit ian forms, examples. 25-40 1-41-1 - 42. Forced oscillations, residual oscillation, examples. 40-44 1-43. Motion with a resistance proportional to the velocity, reduction to alge braic equations. 44 d7 1-44. The equation of damped vibrations, instrumental records. 47-52 1-45-1 - 46. The dissipation function, reciprocal relations. 52-54 1-47-1-49. Fundamental equations of electric circuit theory, Cauchys method of solving a linear equation, Heavisides expansion. 54-6Q 1-51 1-56. The simple wave-equation, wave propagation, associated equations, transmission of vibrations, vibration of a building, vibration of a string, torsional oscillations of a rod, plane waves of sound, waves in a canal, examples. 60-73 1-61-1 - 63. Conjugate functions and systems of partial differential equations, the telegraphic equation, partial difference equations, simultaneous equations involving high derivatives, examplu. 73-77 1-71-1-72. Potentials and stream-functions, motion of a fluid, sources and vortices, two-dimensional stresses, geometrical properties of equipotentials and lines of force, method of inversion, examples. 77-90 1-81-1-82. The classical partial differential equations for Euclidean space, Laplaces equation, systems of partial differential equations of the first order fchich lead to the classical equations, elastic equilibrium, equations leading to the uations of wave-motion, 90-95 S 1 91. Primary solutions, Jacobis theorem, examples. 95-100 1 92. The partial differential equation of the characteristics, bicharacteristics and rays. 101-105 1 93-1 94. Primary solutions of the second grade, primitive solutions of the wave-equation, primitive solutions of Laplaces equation. 105-111 1-95. Fundamental solutions, examples. 111-114 viii Contents CHAPTER n APPLICATIONS OF THE INTEGRAL THEOREMS OF GREEN AND STOKES 2 11-2-12. Greens theorem, Stokes s theorem, curl of a vector, velocity potentials, equation of continuity. pages 116-118 2-13-2-16. The equation of the conduction of heat, diffusion, the drying of wood, the heating of a porous body by a warm fluid, Laplaces method, example. 118-125 2-21-2 22. Riemanns method, modified equation of diffusion, Greens func tions, examples. 126-131 f 2-23-2 26. Green s theorem for a general lineardifferential equation of the second order, characteristics, classification of partial differential equations of the second order, a property of equations of elliptic type, maxima and minima of solutions. 131-138 2-31-2-32. Greens theorem for Laplaces equation, Greens functions, reciprocal relations. 138-144 2-33-2-34. Partial difference equations, associated quadratic form, the limiting process, inequalities, properties of the limit function. 144-152 2-41-2-42...
Book Synopsis Kernel Functions and Elliptic Differential Equations in Mathematical Physics by : Stefan Bergman
Download or read book Kernel Functions and Elliptic Differential Equations in Mathematical Physics written by Stefan Bergman and published by Courier Corporation. This book was released on 2013-01-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.
Book Synopsis Differential Equations on Manifolds and Mathematical Physics by : Vladimir M. Manuilov
Download or read book Differential Equations on Manifolds and Mathematical Physics written by Vladimir M. Manuilov and published by Springer Nature. This book was released on 2022-01-21 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis. The volume contains selected contributions by leading experts in these fields and presents the current state of the art in several areas of PDE. It will be of interest to researchers and graduate students specializing in partial differential equations, mathematical physics, topology, geometry, and their applications. The readers will benefit from the interplay between these various areas of mathematics.
Book Synopsis Partial Differential Equations of Mathematical Physics and Integral Equations by : Ronald B. Guenther
Download or read book Partial Differential Equations of Mathematical Physics and Integral Equations written by Ronald B. Guenther and published by Courier Corporation. This book was released on 2012-09-19 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.
Book Synopsis Mathematical Methods in Physics by : Victor Henner
Download or read book Mathematical Methods in Physics written by Victor Henner and published by CRC Press. This book was released on 2009-06-18 with total page 861 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that allows the user to generate and model different physical situations and learn by experimentation. From this standpoint, the book along with the software can also be used as a reference book on PDEs, Fourier series and special functions for students and professionals alike.
Book Synopsis Partial Differential Equations of Mathematical Physics by : Tyn Myint-U
Download or read book Partial Differential Equations of Mathematical Physics written by Tyn Myint-U and published by CUP Archive. This book was released on 1955 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations for Mathematical Physicists by : Bijan Kumar Bagchi
Download or read book Partial Differential Equations for Mathematical Physicists written by Bijan Kumar Bagchi and published by CRC Press. This book was released on 2019-07-02 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial Differential Equations for Mathematical Physicists is intended for graduate students, researchers of theoretical physics and applied mathematics, and professionals who want to take a course in partial differential equations. This book offers the essentials of the subject with the prerequisite being only an elementary knowledge of introductory calculus, ordinary differential equations, and certain aspects of classical mechanics. We have stressed more the methodologies of partial differential equations and how they can be implemented as tools for extracting their solutions rather than dwelling on the foundational aspects. After covering some basic material, the book proceeds to focus mostly on the three main types of second order linear equations, namely those belonging to the elliptic, hyperbolic, and parabolic classes. For such equations a detailed treatment is given of the derivation of Green's functions, and of the roles of characteristics and techniques required in handling the solutions with the expected amount of rigor. In this regard we have discussed at length the method of separation variables, application of Green's function technique, and employment of Fourier and Laplace's transforms. Also collected in the appendices are some useful results from the Dirac delta function, Fourier transform, and Laplace transform meant to be used as supplementary materials to the text. A good number of problems is worked out and an equally large number of exercises has been appended at the end of each chapter keeping in mind the needs of the students. It is expected that this book will provide a systematic and unitary coverage of the basics of partial differential equations. Key Features An adequate and substantive exposition of the subject. Covers a wide range of important topics. Maintains mathematical rigor throughout. Organizes materials in a self-contained way with each chapter ending with a summary. Contains a large number of worked out problems.
Book Synopsis Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis by : Nils Henrik Risebro
Download or read book Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis written by Nils Henrik Risebro and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations arising from Physics and Geometry by : Mohamed Ben Ayed
Download or read book Partial Differential Equations arising from Physics and Geometry written by Mohamed Ben Ayed and published by Cambridge University Press. This book was released on 2019-05-02 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
