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Difference equations

  • Discrete Fractional Calculusby Christopher Goodrich; Allan C. Peterson

    Springer International Publishing 2016; US$ 45.45

    This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point.... more...

  • Differential Equations: Methods and Applicationsby Belkacem Said-Houari

    Springer International Publishing 2016; US$ 37.00

    This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear... more...

  • Difference Equations, Discrete Dynamical Systems and Applicationsby Martin Bohner; Yiming Ding; Ondrej Do?lư

    Springer International Publishing 2015; US$ 91.98

    These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering.  The conference was held at the Wuhan Institute... more...

  • A Concise Introduction to Analysisby Daniel W. Stroock

    Springer International Publishing 2015; US$ 37.00

    This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment... more...

  • On Meaningful Scientific Lawsby Jean-Claude Falmagne; Christopher Doble

    Springer Berlin Heidelberg 2015; US$ 63.43

    The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or ?Gedanken Experiments?. Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be invariant with changes of the units of their variables. This constraint makes it possible to narrow down... more...

  • Dynamics, Games and Scienceby Jean-Pierre Bourguignon; Rolf Jeltsch; Alberto Adrego Pinto; Marcelo Viana

    Springer International Publishing 2015; US$ 158.59

    The focus of this volume is research carried out as part of the program Mathematics of Planet Earth , which provides a platform to showcase the essential role of mathematics in addressing problems of an economic and social nature and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments... more...

  • Abstract Volterra Integro-Differential Equationsby Marko Kostic

    CRC Press 2015; US$ 149.95

    The theory of linear Volterra integro-differential equations has been developing rapidly in the last three decades. This book provides an easy to read concise introduction to the theory of ill-posed abstract Volterra integro-differential equations. A major part of the research is devoted to the study of various types of abstract (multi-term) fractional... more...

  • Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domainsby Mikhail S. Agranovich

    Springer International Publishing 2015; US$ 89.86

    This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in non-smooth (Lipschitz) domains for strongly elliptic systems. The author, who is a... more...

  • From Calculus to Analysisby Steen Pedersen

    Springer International Publishing 2015; US$ 45.45

    This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It... more...

  • Difference Equationsby Ronald E. Mickens

    CRC Press 2015; US$ 131.95

    Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with adding several advanced... more...