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Differential Equations

  • Difference Equationsby Ronald E. Mickens

    Taylor and Francis 2015; US$ 119.95

    This book covers many important classes of difference equations, including general, linear, first, second, and Nth order, along with nonlinear equations, partial difference equations, functional equations, and Nth order equations having constant coefficients. It presents a wide range of techniques for calculating exact and approximate solutions. Numerous... more...

  • Homogenizationby Robert P. Gilbert; Alexander Panchenko

    Taylor and Francis 2015; US$ 99.95

    This book provides a thorough introduction to homogenization, a modeling procedure used to describe processes in complicated structures with known microstructures. It first presents the theoretical foundations of this powerful tool of analysis. Building on the theory, the authors explore various types of application problems, including flow in porous... more...

  • Abstract Volterra Integro-Differential Equationsby Marko Kostic

    Taylor and Francis 2015; US$ 149.95

    The theory of linear Volterra Integro-differental 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. It is accessible to readers whose backgrounds include functions of one complex variable, integration... more...

  • Green?s Functions with Applications, Second Editionby Dean G. Duffy

    CRC Press 2015; US$ 119.95

    This second edition systematically leads readers through the process of developing Green's functions for ordinary and partial differential equations. In addition to exploring the classical problems involving the wave, heat, and Helmholtz equations, the book includes special sections on leaky modes, water waves, and absolute/convective instability.... more...

  • Partial Differential Equationsby Michael Shearer; Rachel Levy

    Princeton University Press 2015; US$ 85.00

    This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves... more...

  • Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equationsby Yuming Qin; Xin Liu; Taige Wang

    Springer Basel 2015; US$ 109.00

    Here are recent results in nonlinear evolutionary fluid equations such as compressible magnetohydrodynamics equations, compressible viscous micropolar fluid equations, full non-Newtonian fluid equations and non-autonomous compressible Navier-Stokes equations. more...

  • Topics in Algebra and Analysisby Radmila Bulajich Manfrino; José Antonio Gómez Ortega; Rogelio Valdez Delgado

    Springer International Publishing 2015; US$ 59.99

    The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with... more...

  • Mathematical Analysis IIby Claudio Canuto; Anita Tabacco

    Springer International Publishing 2015; US$ 79.99

    The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus... more...

  • Numerical PDE-Constrained Optimizationby Juan Carlos De los Reyes

    Springer International Publishing 2015; US$ 54.99

    This book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully presented. The developed results are illustrated... more...

  • Mathematical Models of Viscous Frictionby Paolo Buttà; Guido Cavallaro; Carlo Marchioro

    Springer International Publishing 2015; US$ 49.99

    In this monograph we present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We investigate this topic in the framework of mathematical physics by focusing mainly on the class of purely Hamiltonian systems, for which very few results... more...