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Difference equations

  • Applications of Lie Groups to Difference Equationsby Vladimir Dorodnitsyn

    CRC Press 2010; US$ 94.95

    Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods... more...

  • Chaotic Mapsby Goong Chen; Yu Huang

    Morgan & Claypool Publishers 2011; US$ 60.00

    This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China. There are ten chapters in the main body of the book, covering an elementary theory of chaotic maps in finite-dimensional spaces. The topics include one-dimensional... more...

  • Classical Geometries in Modern Contextsby Walter Benz

    Springer 2006; US$ 79.99

    Presents the real inner product spaces of arbitrary (finite or infinite) dimension greater than or equal to 2. This book studies the sphere geometries of Mobius and Lie for these spaces, besides euclidean and hyperbolic geometry, as well as geometries where Lorentz transformations play the key role. more...

  • The Classical Theory of Integral Equationsby Stephen M. Zemyan

    Springer 2012; US$ 64.99

    The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations.  The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field.  With a firm foundation for the theory in their grasp,... more...

  • Collocation Methods for Volterra Integral and Related Functional Differential Equationsby Hermann Brunner

    Cambridge University Press 2004; US$ 162.00

    The first comprehensive guide to the analysis of collocation methods for a wide class of initial-value problems, including equations with delay arguments. It describes important problems and directions for future research. Also includes numerous exercises, a vast bibliography with historical commentary, and important applications to modelling biological... more...

  • Computational Methods for Integral Equationsby L. M. Delves; J. L. Mohamed

    Cambridge University Press 1985; US$ 45.00

    This textbook provides a readable account of techniques for numerical solutions. more...

  • Difference Equationsby Paul Cull; Mary Flahive; Robby Robson

    Springer-Verlag New York Inc 2005; US$ 47.99

    In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will... more...

  • Difference Equations, Special Functions And Orthogonal Polynomialsby S Elaydi; J Cushing; R Lasser

    World Scientific Publishing Company 2007; US$ 234.00

    This volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as common thread. Articles cover topics in difference equations, discrete dynamical... more...

  • Difference Equations in Normed Spacesby Michael Gil

    Elsevier Science 2007; US$ 142.95

    Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing... more...

  • Difference Equations with Applications to Queuesby David Jagerman

    Marcel Dekker Inc 2000; US$ 199.95

    A study of difference equations with applications to queues. It is based on a generalization of the Riemann integral introduced by N.E. Norlund, allowing differentiation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. more...