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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.



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



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.



Mathematical Physics with Partial Differential Equations

Mathematical Physics with Partial Differential Equations Author James R. Kirkwood
ISBN-10 9780123869111
Release 2013
Pages 418
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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.



Lectures on Partial Differential Equations

Lectures on Partial Differential Equations Author I. G. Petrovsky
ISBN-10 9780486155081
Release 2012-12-13
Pages 272
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Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.



Integral Equations

Integral Equations Author F. G. Tricomi
ISBN-10 9780486158303
Release 2012-04-27
Pages 256
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Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.



Differential and Integral Equations

Differential and Integral Equations Author Peter J. Collins
ISBN-10 9780198533825
Release 2006-08-03
Pages 372
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Differential & integral equations involve important mathematical techniques, & as such will be encountered by mathematicians, & physical & social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- & second- order ordinary & partial differential equations.



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 Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications Author E. C. Zachmanoglou
ISBN-10 9780486132174
Release 2012-04-20
Pages 432
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This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.



Ordinary and Partial Differential Equations

Ordinary and Partial Differential Equations Author Ravi P. Agarwal
ISBN-10 9780387791463
Release 2008-11-13
Pages 410
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In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.



Ordinary Differential Equations

Ordinary Differential Equations Author Morris Tenenbaum
ISBN-10 9780486649405
Release 1963
Pages 808
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Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.



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.



Linear Partial Differential Equations for Scientists and Engineers

Linear Partial Differential Equations for Scientists and Engineers Author Tyn Myint-U
ISBN-10 0817645608
Release 2007-04-05
Pages 778
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This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.



Partial Differential Equations

Partial Differential Equations Author David Colton
ISBN-10 9780486138435
Release 2012-06-14
Pages 320
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This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 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.



Lectures on Integral Equations

Lectures on Integral Equations Author Harold Widom
ISBN-10 9780486810270
Release 2016-12-14
Pages 128
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This concise and classic volume presents the main results of integral equation theory as consequences of the theory of operators on Banach and Hilbert spaces. In addition, it offers a brief account of Fredholm's original approach. The self-contained treatment requires only some familiarity with elementary real variable theory, including the elements of Lebesgue integration, and is suitable for advanced undergraduates and graduate students of mathematics. Other material discusses applications to second order linear differential equations, and a final chapter uses Fourier integral techniques to investigate certain singular integral equations of interest for physical applications as well as for their own sake. A helpful index concludes the text.