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Differential Equations

Most popular at the top

  • A First Course in Ordinary Differential Equationsby Martin Hermann; Masoud Saravi

    Springer 2014; US$ 69.99

    This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format?the theorem-and-proof format?the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced... more...

  • Dispersive Equations and Nonlinear Wavesby Herbert Koch; Daniel Tataru; Viş; Monica an

    Springer 2014; US$ 49.99

    The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schrodinger equation, global... more...

  • Foundations of Mathematical System Dynamicsby George J. Klir

    Elsevier Science 2013; US$ 72.95

    This book is a foundational study of causality as conceived in the mathematical sciences. It is shown that modern mathematical dynamics involves a formulation of the fundamental concept of causality, and an exhaustive classification of causal systems. Among them are the 'self-steering' and 'self-regulating' systems, which together form the class of... 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...

  • 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...

  • 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...