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Numerical Infinities and Infinitesimals in Optimization

Numerical Infinities and Infinitesimals in Optimization

Paperback

Series: Emergence, Complexity and Computation, Book 43

Technology & EngineeringGeneral ComputersGeneral Mathematics

ISBN10: 3030936449
ISBN13: 9783030936440
Publisher: Springer
Published: Jul 6 2023
Pages: 365
Weight: 1.18
Height: 0.79 Width: 6.14 Depth: 9.21
Language: English

This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by 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 computerscience.

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