Idempotency (Publications of the Newton Institute, Series Number 11) - Hardcover

Hardcover

ISBN 10: 052155344X ISBN 13: 9780521553445

Publisher: Cambridge University Press, 1998

Synopsis

Certain nonlinear optimization problems arise in such areas as the theory of computation, pure and applied probability, and mathematical physics. These problems can be solved through linear methods, providing the usual number system is replaced with one that satisfies the idempotent law. Only recently has a systematic study of idempotency analysis emerged, triggered in part by a workshop organized by Hewlett-Packard's Basic Research Institute in the Mathematical Sciences (BRIMS), which brought together for the first time many leading researchers in the area. This volume, a record of that workshop, includes a variety of contributions, a broad introduction to idempotency, written especially for the book, and a bibliography of the subject. It is the most up-to-date survey currently available of research in this developing area of mathematics; the articles cover both practical and more theoretical considerations, making it essential reading for all workers in the area.

About this title

Book Description

Certain nonlinear optimisation problems arising in such disparate areas as the theory of computation, pure and applied probability, and mathematical physics can be solved by linear methods, provided one replaces the usual number system with one in which addition satisfies the idempotent law. This is the most up to date survey currently available of research in this developing area of mathematics; the articles cover both practical and more theoretical considerations, making it essential reading for all workers in the area.

Review

"...interesting...a very valuable addition to the bookshelf of anybody who wishes to work in this field or wants to know more about the subject. Those researchers who are familiar with the subject will find a variety of new challenging problems...Inspiring collection of applications should secure the book a good place in the existing literature on the topic...and the variety of multidisciplinary approaches within the common topic of idempotency should be of interest to applied and pure mathematicians, theoretical physicists, engineers and computer scientists." Discrete Dynamics in Nature and Society

Edition details

• Publisher: Cambridge University Press
• Publication date: 1998
• Language: English
• ISBN 10: 052155344X
• ISBN 13: 9780521553445
• Binding: Hardcover
• Edition number: 1
• Number of pages: 456
• Editor: Gunawardena Jeremy