Idempotency [Paperback]

A survey of idempotency, the developing area of mathematics.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.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.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“)