New book edited by Yaroslav Sergeyev and Renato De Leone published by Springer
The book Numerical Infinities and Infinitesimals in Optimization was published by Springer Publishers in the series Emergence, Complexity and Computation. The editors are Yaroslav Sergeyev, D.Sc. in Physics and Mathematics, Professor of the Department of Software and Supercomputing Technologies at the UNN Institute of Information Technology, Mathematics and Mechanics, and Professor Renato De Leone from Camerino University (Italy) who was for several years the President of the Italian Society for Operations Research. The book contains 14 chapters prepared by more than twenty scientists from several countries of the world, including Dr. Dmitry Kvasov of the UNN Department of Software and Supercomputing Technologies, Professors Louis D'Alotto (City University of New York), Kalyanmoy Deb (Michigan State University), Massimo Pappalardo (University of Pisa), and others.
This is how the publisher introduces the book to readers:
The book presents a powerful new supercomputing paradigm developed by Yaroslav Sergeyev. It provides a friendly introduction to the paradigm and proposes a broad panorama of successful applications of infinities in numerical computing in optimization. It also includes a description of software implementations of the Infinity Computer. This is the first book to introduce readers interested in optimization to the advantages of a recently introduced supercomputing paradigm that allows numerical manipulation of various infinite and infinitesimal numbers on the Infinity Computer, patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and the other editor was the first to use it in optimization. Their results have won numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computer science.