
- 394 pages
- English
- PDF
- Available on iOS & Android
About this book
The Monte Carlo Method: The Method of Statistical Trials is a systematic account of the fundamental concepts and techniques of the Monte Carlo method, together with its range of applications. Some of these applications include the computation of definite integrals, neutron physics, and in the investigation of servicing processes. This volume is comprised of seven chapters and begins with an overview of the basic features of the Monte Carlo method and typical examples of its application to simple problems in computational mathematics. The next chapter examines the computation of multi-dimensional integrals using the Monte Carlo method. Some examples of statistical modeling of integrals are analyzed, together with the accuracy of the computations. Subsequent chapters focus on the applications of the Monte Carlo method in neutron physics; in the investigation of servicing processes; in communication theory; and in the generation of uniformly distributed random numbers on electronic computers. Methods for organizing statistical experiments on universal digital computers are discussed. This book is designed for a wide circle of readers, ranging from those who are interested in the fundamental applications of the Monte Carlo method, to those who are concerned with comparatively limited problems of the peculiarities of simulating physical processes.
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Table of contents
- Front Cover
- The Monte Carlo Method: The Method of Statistical Trials
- Copyright Page
- Table of Contents
- PREFACE TO THE ENGLISH EDITION
- PREFACE
- CHAPTER 1. PRINCIPLES OF THE MONTE CARLO METHOD
- CHAPTER 2. COMPUTATION OF DEFINITE INTEGRALS
- CHAPTER 3. APPLICATION OF THE MONTE CARLO METHOD TO NEUTRON PHYSICS
- CHAPTER 4. APPLICATION OF THE MONTE CARLO METHOD TO THE INVESTIGATION OF SERVICING PROCESSES
- CHAPTER 5. APPLICATIONS OF THE MONTE CARLO METHOD TO COMMUNICATION THEORY
- CHAPTER 6. GENERATION OF UNIFORMLY DISTRIBUTED RANDOM VARIABLES ON ELECTRONIC COMPUTERS
- CHAPTER 7. TRANSFORMATION OF RANDOM NUMBERS
- APPENDIX I: TABLE OF RANDOM DIGITS
- APPENDIX II: TABLE OF NORMAL VARIABLES
- BIBLIOGRAPHY
- INDEX
- OTHER TITLES IN THE SERIES