Theory and Simulation of Random Phenomena Mathematical Foundations and Physical Applications /

The purpose of this book is twofold: first, it sets out to equip the reader with a sound understanding of the foundations of probability theory and stochastic processes, offering step-by-step guidance from basic probability theory to advanced topics, such as stochastic differential equations, which...

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Bibliographic Details
Main Author: Vitali, Ettore (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:UNITEXT for Physics,
Subjects:
ISBN:9783319905150
ISSN:2198-7882
Online Access: Get full text
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245 1 0 |a Theory and Simulation of Random Phenomena  |h [electronic resource] :  |b Mathematical Foundations and Physical Applications /  |c by Ettore Vitali, Mario Motta, Davide Emilio Galli. 
250 |a 1st ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a XIII, 235 p. 5 illus.  |b online resource. 
490 1 |a UNITEXT for Physics,  |x 2198-7882 
500 |a Physics and Astronomy  
505 0 |a 1 Review of Probability Theory -- 2 Applications to Mathematical Statistics -- 3 Conditional Probability and Conditional Expectation -- 4 Markov Chains -- 5 Sampling of Random Variables and Simulation -- 6 Brownian Motion -- 7 Introduction to Stochastic Calculus and Ito Integral -- 8 Introduction to Stochastic Differential Equations and Applications -- Bibliography -- Solutions. . 
516 |a text file PDF 
520 |a The purpose of this book is twofold: first, it sets out to equip the reader with a sound understanding of the foundations of probability theory and stochastic processes, offering step-by-step guidance from basic probability theory to advanced topics, such as stochastic differential equations, which typically are presented in textbooks that require a very strong mathematical background. Second, while leading the reader on this journey, it aims to impart the knowledge needed in order to develop algorithms that simulate realistic physical systems. Connections with several fields of pure and applied physics, from quantum mechanics to econophysics, are provided. Furthermore, the inclusion of fully solved exercises will enable the reader to learn quickly and to explore topics not covered in the main text. The book will appeal especially to graduate students wishing to learn how to simulate physical systems and to deepen their knowledge of the mathematical framework, which has very deep connections with modern quantum field theory. 
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650 0 |a Probabilities. 
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650 0 |a Mathematical physics. 
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