Books in the Cambridge Monographs on Applied and Computational Mathematics series

This book provides an extensive introduction to the numerical solution of a large class of integral equations. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations.

This book generalises the classical theory of orthogonal polynomials on the complex unit circle or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. This theory has applications in theoretical real analysis, complex analysis, approximation theory, numerical analysis, and electrical engineering.

This book is an introduction to level set methods and fast marching methods, which are powerful numerical techniques for analyzing and computing interface motion in a host of settings. It will be a useful resource for mathematicians, applied scientists, practising engineers and computer graphic artists.