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Differential Equations

Most popular at the top

  • 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...

  • First-Order Partial Differential Equations, Vol. 2by Hyun-Ku Rhee; Rutherford Aris; Neal R. Amundson

    Dover Publications 2013; US$ 24.95

    Second volume of a highly regarded two-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Examples are drawn from a wide range of scientific and engineering disciplines. The book begins with a consideration of pairs of quasilinear hyperbolic equations of the first order and... more...

  • Distribution Theory and Transform Analysisby A.H. Zemanian

    Dover Publications 2011; US$ 17.95

    This well-known text provides a relatively elementary introduction to distribution theory and describes generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. Suitable for a graduate course for engineering and science students or for an advanced undergraduate... more...

  • Hill's Equationby Wilhelm Magnus; Stanley Winkler

    Dover Publications 2013; US$ 37.50

    The hundreds of applications of Hill's equation in engineering and physics range from mechanics and astronomy to electric circuits, electric conductivity of metals, and the theory of the cyclotron. New applications are continually being discovered and theoretical advances made since Liapounoff established the equation's fundamental importance for... more...

  • The Qualitative Theory of Ordinary Differential Equationsby Fred Brauer; John A. Nohel

    Dover Publications 2012; US$ 16.95

    "This is a very good book ... with many well-chosen examples and illustrations." ? American Mathematical Monthly This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering... 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...

  • 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...

  • Stability by Fixed Point Theory for Functional Differential Equationsby T. A. Burton

    Dover Publications 2013; US$ 19.95

    This book is the first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques. It contains an extensive collection of new and classical examples worked in detail and presented in an elementary manner. Most of this text relies on three principles: a complete metric space, the contraction... more...

  • Problems in Differential Equationsby J. L. Brenner

    Dover Publications 2013; US$ 12.95

    A supplement for elementary and intermediate courses in differential equations, this text features more than 900 problems and answers. Suitable for undergraduate students of mathematics, engineering, and physics, this volume also represents a helpful tool for professionals wishing to brush up on their problem-solving skills. The book is divided into... more...