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Partial Differential Equations of Mathematical Physics and Integral Equations

Partial Differential Equations of Mathematical Physics and Integral Equations Author Ronald B. Guenther
ISBN-10 9780486137629
Release 2012-09-19
Pages 576
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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.



Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics Author S. L. Sobolev
ISBN-10 048665964X
Release 1964
Pages 427
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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.



Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics Author Arthur Godon Webster
ISBN-10 9780486805153
Release 2016-06-15
Pages 464
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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.



Introduction to Nonlinear Differential and Integral Equations

Introduction to Nonlinear Differential and Integral Equations Author Harold Thayer Davis
ISBN-10 0486609715
Release 1962
Pages 566
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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.



Partial Differential Equations for Scientists and Engineers

Partial Differential Equations for Scientists and Engineers Author Stanley J. Farlow
ISBN-10 9780486134734
Release 2012-03-08
Pages 414
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Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.



Equations of Mathematical Physics

Equations of Mathematical Physics Author A. N. Tikhonov
ISBN-10 9780486173368
Release 2013-09-16
Pages 800
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DIVThorough, rigorous advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, more. Problems. Appendixes. /div



Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics Author Stefan Bergman
ISBN-10 9780486154657
Release 2013-01-23
Pages 464
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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.



Partial Differential Equations

Partial Differential Equations Author H. Bateman
ISBN-10 9781443726702
Release 2008-11
Pages 556
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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...



Plane Waves and Spherical Means Applied to Partial Differential Equations

Plane Waves and Spherical Means Applied to Partial Differential Equations Author Fritz John
ISBN-10 048643804X
Release 2004-07-01
Pages 172
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This collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results follow from those identities. 1955 edition.



Partial Differential Equations

Partial Differential Equations Author David Colton
ISBN-10 9780486438344
Release 2004-11-30
Pages 308
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This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Classical topics presented in a modern context include coverage of integral equations and basic scattering theory. Includes examples of inverse problems arising from improperly posed applications as well as exercises, many with answers. 1988 edition.



Mathematics of Classical and Quantum Physics

Mathematics of Classical and Quantum Physics Author Frederick W. Byron
ISBN-10 9780486135069
Release 2012-04-26
Pages 672
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Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.



Mathematical Logic

Mathematical Logic Author Stephen Cole Kleene
ISBN-10 9780486317076
Release 2013-04-22
Pages 416
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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.



Boundary and Eigenvalue Problems in Mathematical Physics

Boundary and Eigenvalue Problems in Mathematical Physics Author Hans Sagan
ISBN-10 9780486150925
Release 2012-04-26
Pages 399
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Well-known text uses a few basic concepts to solve such problems as the vibrating string, vibrating membrane, and heat conduction. Problems and solutions. 31 illustrations.



Mathematical Methods for Physicists and Engineers

Mathematical Methods for Physicists and Engineers Author Royal Eugene Collins
ISBN-10 9780486150123
Release 2012-06-11
Pages 400
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Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.



Abstract Methods in Partial Differential Equations

Abstract Methods in Partial Differential Equations Author Robert W. Carroll
ISBN-10 9780486488356
Release 2012-05
Pages 374
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This self-contained text is directed to graduate students with some previous exposure to classical partial differential equations. Readers can attain a quick familiarity with various abstract points of view in partial differential equations, allowing them to read the literature and begin thesis work. The author's detailed presentation requires no prior knowledge of many mathematical subjects and illustrates the methods' applicability to the solution of interesting differential problems. The treatment emphasizes existence-uniqueness theory as a topic in functional analysis and examines abstract evolution equations and ordinary differential equations with operator coefficients. A concluding chapter on global analysis develops some basic geometrical ideas essential to index theory, overdetermined systems, and related areas. In addition to exercises for self-study, the text features a thorough bibliography. Appendixes cover topology and fixed-point theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory.



Perturbation Techniques in Mathematics Engineering and Physics

Perturbation Techniques in Mathematics  Engineering and Physics Author Richard Ernest Bellman
ISBN-10 0486432580
Release 2003
Pages 118
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Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition.



Partial Differential Equations of Parabolic Type

Partial Differential Equations of Parabolic Type Author Avner Friedman
ISBN-10 9780486318264
Release 2013-08-16
Pages 368
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With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.