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Differential Equations

Most popular at the top

  • 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...

  • Introduction to Global Analysisby Donald W. Kahn

    Dover Publications 2013; US$ 15.99

    This accessible introduction to global analysis begins with a basic discussion of finite-dimensional differential manifolds. A Professor of Mathematics at the University of Minnesota, author Donald W. Kahn has geared his treatment toward advanced undergraduates and graduate students. Starting with those aspects that flow from the usual advanced calculus,... more...

  • Introduction to Partial Differential Equationsby Arne Broman

    Dover Publications 2012; US$ 7.99

    This well-written, advanced-level text introduces students to Fourier analysis and some of its applications. 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. Over 260 exercises with solutions reinforce students'... more...

  • Partial Differential Equationsby Avner Friedman

    Dover Publications 2011; US$ 15.95

    This three-part treatment of partial differential equations focuses on elliptic and evolution equations. Largely self-contained, it concludes with a series of independent topics directly related to the methods and results of the preceding sections that helps introduce readers to advanced topics for further study. Geared toward graduate and postgraduate... more...

  • Generalized Functions and Partial Differential Equationsby Avner Friedman

    Dover Publications 2011; US$ 19.95

    This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the... more...

  • Introduction to Partial Differential Equationsby Donald Greenspan

    Dover Publications 2012; US$ 6.99

    Designed for use in a one-semester course by seniors and beginning graduate students, this rigorous presentation explores practical methods of solving differential equations, plus the unifying theory underlying the mathematical superstructure. Topics include basic concepts, Fourier series, second-order partial differential equations, wave equation,... more...

  • Basic Linear Partial Differential Equationsby Francois Treves

    Dover Publications 2013; US$ 25.95

    Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students features most of the basic classical results. The methods, however, are decidedly nontraditional: in practically every instance, they tend toward a high level of abstraction. This approach recalls classical material... more...

  • Stability & Periodic Solutions of Ordinary & Functional Differential Equationsby T. A. Burton

    Dover Publications 2014; US$ 19.95

    This book's discussion of a broad class of differential equations will appeal to professionals as well as graduate students. Beginning with the structure of the solution space and the stability and periodic properties of linear ordinary and Volterra differential equations, the text proceeds to an extensive collection of applied problems. The background... more...