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Differential Equations

Most popular at the top

  • 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...

  • Lectures on Ordinary Differential Equationsby Witold Hurewicz

    Dover Publications 2014; US$ 12.95

    Hailed by The American Mathematical Monthly as "a rigorous and lively introduction," this text explores a topic of perennial interest in mathematics. The author, a distinguished mathematician and formulator of the Hurewicz theorem, presents a clear and lucid treatment that emphasizes geometric methods. Topics include first-order scalar and vector... 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...

  • 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

    This two-part treatment explains basic theory and details, including oscillatory solutions, intervals of stability and instability, discriminants, and coexistence. Particular attention to stability problems and coexistence of periodic solutions. 1966 edition. 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...

  • 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...

  • 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...

  • Modern Nonlinear Equationsby Thomas L. Saaty

    Dover Publications 2012; US$ 15.99

    Covers major types of classical equations: operator, functional, difference, integro-differential, and more. Suitable for graduate students as well as scientists, technologists, and mathematicians. "A welcome contribution." ? Math Reviews . 1964 edition. more...