Monte Carlo method, random number, and pseudorandom number
Author(s)
Bibliographic Information
Monte Carlo method, random number, and pseudorandom number
(MSJ memoirs, v. 25 (2011))
Mathematical Society of Japan , World Scientific Pub. [distributor], c2011
- : pbk
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: pbkS||MSJM||25200021319764
Note
Distributed outside Japan by World Scientific Pub
Includes bibliographical references (p. 127-130) and index
Description and Table of Contents
Description
Although the Monte Carlo method is used in so many fields, its mathematical foundation has been weak until now because of the fundamental problem that a computer cannot generate random numbers. This book presents a strong mathematical formulation of the Monte Carlo method which is based on the theory of random number by Kolmogorov and others and that of pseudorandom number by Blum and others. As a result, we see that the Monte Carlo method may not need random numbers and pseudorandom numbers may suffice. In particular, for the Monte Carlo integration, there exist pseudorandom numbers which serve as complete substitutes for random numbers.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets
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