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Differential Equations

Most popular at the top

  • First-Order Partial Differential Equations, Vol. 1by Hyun-Ku Rhee; Rutherford Aris; Neal R. Amundson

    Dover Publications 2014; US$ 24.95

    This first volume of a highly regarded two-volume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite... more...

  • Differential Equationsby H. S. Bear

    Dover Publications 2013; US$ 10.99

    Concise introduction for undergraduates includes, among other topics, a survey of first order equations, discussions of complex-valued solutions, linear differential operators, inverse operators and variation of parameters method, the Laplace transform, Picard's existence theorem, and an exploration of various interpretations of systems of equations.... more...

  • Stochastic Differential Equations and Applicationsby Avner Friedman

    Dover Publications 2012; US$ 32.95

    This text develops the theory of systems of stochastic differential equations, and it presents applications in probability, partial differential equations, and stochastic control problems. Originally published in two volumes, it combines a book of basic theory and selected topics with a book of applications. The first part explores Markov processes... more...

  • Introduction to Partial Differential Equations and Hilbert Space Methodsby Karl E. Gustafson

    Dover Publications 2012; US$ 19.95

    Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course. more...

  • Ordinary Differential Equationsby Edward L. Ince

    Dover Publications 2012; US$ 21.95

    The theory of ordinary differential equations in real and complex domains is here clearly explained and analyzed. Not only classical theory, but also the main developments of modern times are covered. Exhaustive sections on the existence and nature of solutions, continuous transformation groups, the algebraic theory of linear differential systems,... more...

  • Integral Equationsby F. G. Tricomi

    Dover Publications 2012; US$ 14.95

    This classic text on integral equations by the late Professor F. G. Tricomi, of the Mathematics Faculty of the University of Turin, Italy, presents an authoritative, well-written treatment of the subject at the graduate or advanced undergraduate level. To render the book accessible to as wide an audience as possible, the author has kept the mathematical... more...

  • Lectures on Partial Differential Equationsby I. G. Petrovsky

    Dover Publications 2012; US$ 14.95

    Graduate-level exposition by noted Russian mathematician offers rigorous, transparent, highly readable coverage of classification of equations, hyperbolic equations, elliptic equations and parabolic equations. Wealth of commentary and insight invaluable for deepening understanding of problems considered in text. Translated from the Russian by A.... more...

  • Plane Waves and Spherical Means Applied to Partial Differential Equationsby Fritz John

    Dover Publications 2013; US$ 10.99

    Elementary and self-contained, this heterogeneous 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 on fairly general differential equations follow from those identities. The first chapter deals with the decomposition... more...

  • Kernel Functions and Elliptic Differential Equations in Mathematical Physicsby Stefan Bergman; Menahem Schiffer

    Dover Publications 2013; US$ 24.95

    This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides... more...

  • Handbook of First-Order Partial Differential Equationsby Andrei D. Polyanin; Valentin F. Zaitsev; Alain Moussiaux

    Taylor and Francis 2014; US$ 241.00

    This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each section, basic solution methods for the corresponding... more...