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Differential Equations

Most popular at the top

  • 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...

  • 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...

  • Partial Differential Equationsby David Colton

    Dover Publications 2012; US$ 19.95

    Intended for a college senior or first-year graduate-level course in partial differential equations, this text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Classical topics presented in a modern context include coverage of integral equations and basic scattering theory.... 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...

  • Singular Integral Equationsby N. I. Muskhelishvili

    Dover Publications 2013; US$ 24.95

    Singular integral equations play important roles in physics and theoretical mechanics, particularly in the areas of elasticity, aerodynamics, and unsteady aerofoil theory. They are highly effective in solving boundary problems occurring in the theory of functions of a complex variable, potential theory, the theory of elasticity, and the theory of... 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...

  • Modern Nonlinear Equationsby Thomas L. Saaty

    Dover Publications 2012; US$ 15.99

    This volume covers many major types of classical equations, including operator equations, functional equations, difference equations, delay-differential equations, integral equations, integro-differential equations, and stochastical differential equations. Its clear organization and copious references make it suitable for graduate students as well... 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...

  • Dynamical Systemsby Shlomo Sternberg

    Dover Publications 2014; US$ 15.95

    Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains.... more...