This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par- tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and Tech- nical Research Council of Turkey and the Middle East Technical University.
It is not the object of the author to present comprehensive cov- erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done.
Many problems arising in the physical sciences, engineering, biology and ap- plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces.
This book considers methods of approximate analysis of mechanical, elec- tromechanical, and other systems described by ordinary differential equa- tions.
This book is a self-contained introduction to real analysis assuming only basic notions on limits of sequences in ]RN, manipulations of series, their convergence criteria, advanced differential calculus, and basic algebra of sets.
This book will appeal to applied mathematicians, mechanical engineers, theoretical physicists, and graduate students researching in the areas of ordinary and partial differential equations, integral equations, numerical analysis, mechanics of solids, fluid mechanics and mathematical physics.
This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension.
This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations.
In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds-hence the term the Radon transform.
Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc.
This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods.
In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type.
Stochastic analysis is a field of mathematical research having numerous interactions with other domains of mathematics such as partial differential equations, riemannian path spaces, dynamical systems, optimization.
This textbook teaches the fundamentals of calculus, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words.
Entwickelt für Studierende der reinen oder angewandten Mathematik, Physik und Ingenieurwissenschaften, legt dieses Übungs- und Lernbuch den Fokus darauf, die grundlegenden Begriffe, Definitionen, Resultate und Konzepte der Maß- und Integrationstheorie verständlich zu vermitteln.
Entwickelt für Studierende der reinen oder angewandten Mathematik, Physik und Ingenieurwissenschaften, legt dieses Übungs- und Lernbuch den Fokus darauf, die grundlegenden Begriffe, Definitionen, Resultate und Konzepte der Maß- und Integrationstheorie verständlich zu vermitteln.
A monograph containing significant new developments in the theory of reaction-diffusion systems, particularly those arising in chemistry and life sciences.
A monograph containing significant new developments in the theory of reaction-diffusion systems, particularly those arising in chemistry and life sciences.
