The product of a collaboration between a mathematician and a chemist, this text is geared toward advanced undergraduates and graduate students. Not only does it explain the theory underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied. Rather than an exhaustive treatment, it represents an introduction that will appeal to a broad spectrum of students. Accordingly, the mathematics is kept as simple as possible.
The first of the two-part treatment deals principally with the general properties of...

This two-part treatment introduces the general principles of the Monte Carlo method within a unified mathematical point of view, applying them to problems in neutron transport. It describes several efficiency-enhancing approaches, including the method of superposition and simulation of the adjoint equation based on reciprocity.
The first half of the book presents an exposition of the fundamentals of Monte Carlo methods, examining discrete and continuous random walk processes and standard variance reduction techniques. The second half of the text focuses directly on the methods of...

koldham@trentu.ca, jmyland@trentu.caorjspanier@uci.edu.AnErrataofknownerrorsandrevisionswillbefound on the publisher s website; please access www.springer.com/978-0-387-48806-6 and follow the links. This will be updated as and if new errors are detected or clarifications are found to be needed. Use of the Atlas of Functions or Equator, the Atlas function calculator is at your own risk. The authors and the publisher disclaim liability for any direct or consequential damage resulting from use of the Atlas or Equator. It is a pleasure to express our gratitude to Michelle Johnston, Sten Engblom,...

Equator is software designed to generate numerical values of over 200 mathematical functions in common use by engineers, scientists and others. Among the functions made available are simple ones such as cosines and binomial coefficients, as well as more complex examples such as Bessel functions and elliptic integrals.

The Windows-based Equator software is available as an integral part of the book An Atlas of Functions, Second Edition, although its utility is not limited to users of this book. The Atlas is available in both print and electronic...