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Introduction To Partial Differential Equations With Applications

Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Size: 44.61 MB
Format: PDF, Kindle
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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.

An Introduction To Differential Equations And Their Applications

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486135136
Size: 10.58 MB
Format: PDF, Kindle
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This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

Partial Differential Equations

Author: David Colton
Publisher: Courier Corporation
ISBN: 0486138437
Size: 23.39 MB
Format: PDF, ePub
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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.

Lectures On Partial Differential Equations

Author: I. G. Petrovsky
Publisher: Courier Corporation
ISBN: 0486155080
Size: 16.26 MB
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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.

Partial Differential Equations Of Mathematical Physics

Author: S. L. Sobolev
Publisher: Courier Corporation
ISBN: 9780486659640
Size: 52.12 MB
Format: PDF, Kindle
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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.

Introduction To Partial Differential Equations

Author: Donald Greenspan
Publisher: Courier Corporation
ISBN: 9780486414508
Size: 68.19 MB
Format: PDF
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Rigorous presentation, designed for use in a 1-semester course, explores basics; Fourier series; 2nd-order partial differential equations; wave, potential, and heat equations; approximate solution of partial differential equations, more. Exercises. 1961 edition.

Introduction To Partial Differential Equations

Author: Arne Broman
Publisher: Courier Corporation
ISBN: 0486153010
Size: 74.23 MB
Format: PDF, ePub, Docs
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The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.

Stochastic Differential Equations And Applications

Author: Avner Friedman
Publisher: Academic Press
ISBN: 1483217884
Size: 70.63 MB
Format: PDF, Mobi
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Stochastic Differential Equations and Applications, Volume 2 is an eight-chapter text that focuses on the practical aspects of stochastic differential equations. This volume begins with a presentation of the auxiliary results in partial differential equations that are needed in the sequel. The succeeding chapters describe the behavior of the sample paths of solutions of stochastic differential equations. These topics are followed by a consideration of an issue whether the paths can hit a given set with positive probability, as well as the stability of paths about a given manifold and with spiraling of paths about this manifold. Other chapters deal with the applications to partial equations, specifically with the Dirichlet problem for degenerate elliptic equations. These chapters also explore the questions of singular perturbations and the existence of fundamental solutions for degenerate parabolic equations. The final chapters discuss stopping time problems, stochastic games, and stochastic differential games. This book is intended primarily to undergraduate and graduate mathematics students.

Introduction To Nonlinear Differential And Integral Equations

Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Size: 60.71 MB
Format: PDF, ePub, Mobi
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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.

Generalized Functions And Partial Differential Equations

Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 9780486152912
Size: 38.76 MB
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This self-contained text details developments in the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential equations. 1963 edition.