Differential Equations

Assuming minimal prerequisites, A First Course on Wavelets is an outstanding introduction to the basic properties of wavelets, from background mathematics to powerful applications. The authors adopt the approach that all orthonormal wavelets are completely characterized by two simple equations, and ..

This work thoroughly covers the concepts and main results of probability theory, from its fundamental principles to advanced applications. This edition provides examples early in the text of practical problems such as the safety of a piece of engineering equipment or the inevitability of wrong concl..

This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach..

Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis...

The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equations. This edition takes those new results into account, in particular the study of nonautonomous ..

This self-contained text makes the difficult subject of asymptotics easy to comprehend. It immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Along the way, the book explores the properties of some important..

Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour, and enhance the success of endeavours involving reasonably smooth, predictable c..

This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon...

Based on the Working Conference on Boundary Control and Boundary Variation held in Sophia-Antipolis, France, this work provides important examinations of shape optimization and boundary control of hyperbolic systems, including free boundary problems and stabilization. It offers an approach to large ..

The purpose of this monograph is to study the common zeroes of families of polynomials in several variables which are related to higher dimensional quadrature. It aims to introduce a new approach and use it to conduct a systematic study...

Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature..

A carefully refereed and edited collection of papers from the Fourth International Conference on Difference Equations held in Poznan, Poland. A valuable resource on the recent advances in the field that no researcher should be without...