Monte Carlo Method, Random Number, And Pseudorandom Number
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A01=Hiroshi Sugita
Author_Hiroshi Sugita
Category=PBT
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Monte Carlo Integration
Monte Carlo Method
Pseudorandom Generator
Random Number
Product details
- ISBN 9784931469655
- Publication Date: 01 May 2011
- Publisher: Mathematical Society of Japan
- Publication City/Country: JP
- Product Form: Paperback
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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
