Idempotency
Idempotency by Jeremy Gunawardena, published by Cambridge University Press on January 21, 2008, is a comprehensive exploration of nonlinear optimization problems that arise in various fields, including the theory of computation and mathematical physics. This 456-page volume presents a systematic study of idempotency analysis, a topic that has gained attention following a workshop organized by Hewlett-Packard’s Basic Research Institute in the Mathematical Sciences. The book features contributions from leading researchers and includes a broad introduction to the subject, making it a valuable resource for those interested in mathematical analysis.
Readers will find a diverse range of articles that address both practical and theoretical aspects of idempotency. The volume serves as an up-to-date survey of research in this developing area of mathematics, offering insights into how linear methods can be applied when the usual number system is replaced with one that satisfies the idempotent law. With its extensive bibliography and contributions from various experts, this book is designed for all workers in the field, providing a thorough understanding of the current landscape of idempotency research.
Official synopsis Publisher
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.
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