Bøker i Applied Mathematical Sciences-serien

Transient Chaos provides an overview of the field, based on a summation of nearly three decades of intensive research. Written by experts in the field, this volume shows why transient chaos is important to the nonlinear-science community, as well as other scientific disciplines.

This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. The book also develops basic differential geometrical concepts centred about curvature.

Dynamical Systems and Chaos provides an overview of the field that bridges the gap between abstract and applied areas of study. Exercises included at the end of each chapter illustrate the concepts discussed, and are appropriate for undergraduate and graduate courses, alike.

Stochastic processes and diffusion theory are the mathematical underpinnings of many scientific disciplines, including statistical physics, physical chemistry, molecular biophysics, communications theory and many more.

Ludwig Prandtl has been called the father of modern fluid mechanics, and this updated and extended edition of his classic text on the field is based on the 12th German edition with additional material included.

The second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications.

The author presents the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented.

This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD).

This book examines the basic mathematical properties of solutions to boundary integral equations and details the variational methods for the boundary integral equations arising in elasticity, fluid mechanics and acoustic scattering theory.

The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations.

With its mathematically rigorous presentation, this book is a detailed treatment of the approach from an inverse problems point of view. It is geared towards graduate students and researchers in applied mathematics and can serve as a text for graduate courses.

Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns.

This book is developed for the study of vectorial problems in the calculus of variations. It is a new edition of the earlier book published in 1989. Almost half of the book consists of new material and there are added examples.

The 2nd edition presents image analysis applications, outlines their precise mathematics and shows how to discretize them. It reviews progress in image processing applications covered by the PDE framework, and updates the existing material. Also provides programming tools for creating simulations.

This book covers the statistical mechanics approach to computational solution of inverse problems, an innovative area of current research with very promising numerical results.

Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations.