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Introduction To Partial Differential Equations With Applications

Author : E. C. Zachmanoglou
ISBN : 9780486132174
Genre : Mathematics
File Size : 39.51 MB
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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.
Category: Mathematics

An Introduction To Differential Equations And Their Applications

Author : Stanley J. Farlow
ISBN : 9780486135137
Genre : Mathematics
File Size : 34.95 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.
Category: Mathematics

Partial Differential Equations

Author : David Colton
ISBN : 9780486138435
Genre : Mathematics
File Size : 36.38 MB
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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.
Category: Mathematics

Partial Differential Equations Of Mathematical Physics

Author : S. L. Sobolev
ISBN : 048665964X
Genre : Science
File Size : 86.24 MB
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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.
Category: Science

Basic Linear Partial Differential Equations

Author : Francois Treves
ISBN : 9780486150987
Genre : Mathematics
File Size : 50.97 MB
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Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Nearly 400 exercises. 1975 edition.
Category: Mathematics

Lectures On Partial Differential Equations

Author : I. G. Petrovsky
ISBN : 9780486155081
Genre : Mathematics
File Size : 88.52 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.
Category: Mathematics

Generalized Functions And Partial Differential Equations

Author : Avner Friedman
ISBN : 048615291X
Genre : Mathematics
File Size : 21.29 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.
Category: Mathematics

Introduction To Nonlinear Differential And Integral Equations

Author : Harold Thayer Davis
ISBN : 0486609715
Genre : Mathematics
File Size : 53.25 MB
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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.
Category: Mathematics

Stochastic Differential Equations And Applications

Author : Avner Friedman
ISBN : 9781483217871
Genre : Mathematics
File Size : 56.38 MB
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Stochastic Differential Equations and Applications, Volume 1 covers the development of the basic theory of stochastic differential equation systems. This volume is divided into nine chapters. Chapters 1 to 5 deal with the basic theory of stochastic differential equations, including discussions of the Markov processes, Brownian motion, and the stochastic integral. Chapter 6 examines the connections between solutions of partial differential equations and stochastic differential equations, while Chapter 7 describes the Girsanov’s formula that is useful in the stochastic control theory. Chapters 8 and 9 evaluate the behavior of sample paths of the solution of a stochastic differential system, as time increases to infinity. This book is intended primarily for undergraduate and graduate mathematics students.
Category: Mathematics

Differential Equations With Applications

Author : Paul D. Ritger
ISBN : 0486411540
Genre : Mathematics
File Size : 78.35 MB
Format : PDF, Docs
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Coherent, balanced introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and the differences between linear and nonlinear systems. Includes large number of illustrative examples worked out in detail and extensive sets of problems. Answers or hints to most problems appear at end.
Category: Mathematics