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Differential Equations

Most popular at the top

  • 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...

  • 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...

  • 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...

  • 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

    Readable and systematic, this volume offers coherent presentations of not only the general theory of linear equations with a single integration, but also of applications to differential equations, the calculus of variations, and special areas in mathematical physics. Topics include the solution of Fredholm?s equation expressed as a ratio of two... more...

  • Abstract Methods in Partial Differential Equationsby Robert W. Carroll

    Dover Publications 2013; US$ 24.95

    Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 edition. more...

  • Differential Equationsby F.G. Tricomi; Elizabeth A. McHarg

    Dover Publications 2013; US$ 19.95

    Practical, concise text covers the existence and uniqueness theorem, characteristics of first-order equations, boundary problems for second-order linear equations, asymptotic methods, and differential equations in the complex field. 1961 edition. more...