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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...

  • 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

    Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the... 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

    Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises. more...

  • Modern Methods in Partial Differential Equationsby Martin Schechter

    Dover Publications 2013; US$ 19.95

    Upon its initial 1977 publication, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Requiring only some familiarity with advanced calculus and rudimentary complex function theory, it covered discoveries of the previous three decades, a particularly fruitful era.... 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...

  • Linear Integral Equationsby William Vernon Lovitt

    Dover Publications 2014; US$ 14.95

    Not only general theory of linear equations but also differential equations, calculus of variations, and special areas in mathematical physics. Discusses Fredholm?s equation, Hilbert-Schmidt theory, and auxiliary theorems on harmonic functions. 1924 edition. more...

  • Laplace Transforms and Their Applications to Differential Equationsby N.W. McLachlan

    Dover Publications 2014; US$ 14.95

    This introduction to modern operational calculus offers a classic exposition of Laplace transform theory and its application to the solution of ordinary and partial differential equations. The treatment is addressed to graduate students in engineering, physics, and applied mathematics and may be used as a primary text or supplementary reading. Chief... more...