Integral calculus and equations

The authors introduce geomathematics as an active research area to a wider audience.

The present volume contains the transactions of the lOth Oberwolfach Conference on "e;Probability Measures on Groups"e;.

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.

This book provides a modern and up-to-date treatment of the Hilberttransform of distributions and the space of periodic distributions.

Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery.

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.

Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods.

Modern economic growth is characterized by structural changes based on the introduction of new technologies into economics.

This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport.

An outgrowth of The Seventh International Conference on Integral Methods in Science and Engineering, this book focuses on applications of integration-based analytic and numerical techniques.

This text is an introduction to the modern theory and applications of probability and stochastics.

The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology.

The material accumulated and presented in this volume can be ex- plained easily.

Introduction to Probability with Statistical Applications targets non-mathematics students, undergraduates and graduates, who do not need an exhaustive treatment of the subject.

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces.

This book considers signal processing and physical modeling meth- ods for sound synthesis.

In 1979, the Nobel Prize for Medicine and Physiology was awarded jointly to Allan McLeod Cormack and Godfrey Newbold Houns eld, the two pioneering scienti- engineers primarily responsible for the development, in the 1960s and early 1970s, of computerized axial tomography, popularly known as the CAT or CT scan.

This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area.

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces.

This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations.

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 classic work is now available in an unabridged paperback edition.

Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups.

This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight.

Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory.

An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.

Digital Signal Processing for Measurement Systems: Theory and Applications covers the theoretical as well as the practical issues which form the basis of the modern DSP-based instruments and measurement methods.

This introduction to the few-body problem progresses from two-body motion and classical planetary dynamics to modern numerical methods.

Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery.

This volume explains how the recent advances in wavelet analysis provide new means for multiresolution analysis and describes its wide array of powerful tools.

This book introduces the mathematical concept of partial differential equations (PDEs) for virtual image restoration.

Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.

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

Basic Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established.

Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses.

Differential forms satisfying the A-harmonic equations have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds.

The book compiles works presented at a seminar aiming to attract global experts in differential equations, mathematical modeling, and integration methods.

This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations.

This book arose out of two graduate courses that the authors have taught duringthepastseveralyears;the?

Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator.

This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering.

This is a revised and extended version of my 1995 elementary introduction to partial di?

This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems.

This book convenes and deepens generic results about spectral measures, many of them available so far in scattered literature.

This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration.

Surveys topics in the theory and applications of dynamical systems subject to random shocks.

Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones.