Mathematical Physics with Partial Differential Equations

Mathematical Physics with Partial Differential Equations PDF Author: James Kirkwood
Publisher: Academic Press
ISBN: 0123869110
Category : Mathematics
Languages : en
Pages : 431

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Book Description
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.

Mathematical Physics with Partial Differential Equations

Mathematical Physics with Partial Differential Equations PDF Author: James Kirkwood
Publisher: Academic Press
ISBN: 0123869110
Category : Mathematics
Languages : en
Pages : 431

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Book Description
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.

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics PDF Author: S. L. Sobolev
Publisher: Courier Corporation
ISBN: 9780486659640
Category : Science
Languages : en
Pages : 452

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Book Description
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.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics PDF Author: Stefan Bergman
Publisher: Courier Corporation
ISBN: 0486154653
Category : Mathematics
Languages : en
Pages : 450

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Book Description
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 in Classical Mathematical Physics

Partial Differential Equations in Classical Mathematical Physics PDF Author: Isaak Rubinstein
Publisher: Cambridge University Press
ISBN: 9780521558464
Category : Mathematics
Languages : en
Pages : 704

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Book Description
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.

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics PDF Author: Elina Shishkina
Publisher: Academic Press
ISBN: 0128197811
Category : Mathematics
Languages : en
Pages : 592

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Book Description
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights. Presents the universal transmutation method as the most powerful for solving many problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods Combines mathematical rigor with an illuminating exposition full of historical notes and fascinating details Enables researchers, lecturers and students to find material under the single "roof"

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics PDF Author: Arthur Godon Webster
Publisher: Courier Dover Publications
ISBN: 0486805158
Category : Mathematics
Languages : en
Pages : 465

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Book Description
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.

Differential Equations on Manifolds and Mathematical Physics

Differential Equations on Manifolds and Mathematical Physics PDF Author: Vladimir M. Manuilov
Publisher: Springer Nature
ISBN: 3030373266
Category : Mathematics
Languages : en
Pages : 349

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Book Description
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.

Differential Equations with Applications to Mathematical Physics

Differential Equations with Applications to Mathematical Physics PDF Author: W. F. Ames
Publisher: Academic Press
ISBN: 008095877X
Category : Computers
Languages : en
Pages : 364

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Book Description
Differential Equations with Applications to Mathematical Physics

Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications PDF Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Category : Mathematics
Languages : en
Pages : 434

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Book Description
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.

Mathematical Methods in Physics

Mathematical Methods in Physics PDF Author: Victor Henner
Publisher: CRC Press
ISBN: 1439865167
Category : Mathematics
Languages : en
Pages : 859

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Book Description
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