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Differential Equations

  • Reversibility in Dynamics and Group Theoryby Anthony G. O'Farrell; Ian Short

    Cambridge University Press 2015; US$ 52.00

    An accessible yet systematic account of reversibility that demonstrates its impact throughout many diverse areas of mathematics. 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...

  • Difference Equationsby Ronald E. Mickens

    CRC Press 2015; US$ 119.95

    THE DIFFERENCE CALCULUS GENESIS OF DIFFERENCE EQUATIONS DEFINITIONS DERIVATION OF DIFFERENCE EQUATIONS EXISTENCE AND UNIQUENESS THEOREM OPERATORS ? AND E ELEMENTARY DIFFERENCE OPERATORS FACTORIAL POLYNOMIALS OPERATOR ? ?1 AND THE SUM CALCULUS FIRST-ORDER DIFFERENCE EQUATIONS INTRODUCTION GENERAL LINEAR EQUATION CONTINUED FRACTIONS... more...

  • Positive Dynamical Systems in Discrete Timeby Ulrich Krause

    De Gruyter 2015; US$ 168.00

    This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds... 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...

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

    CRC Press 2015; US$ 119.95

    About the Previous Edition "Roughly speaking, Green's functions constitute infinitesimal matrix coefficients that one can use to solve linear nonhomogeneous differential equations in an approach alternative to that which depends on eigenvalue analysis. These techniques receive a mention in many books on differential equations. Duffy goes much further... 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...