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Theory and simulation of random phen...

Galli, Davide Emilio.

Theory and simulation of random phenomenamathematical foundations and physical applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Theory and simulation of random phenomenaby Ettore Vitali, Mario Motta, Davide Emilio Galli.
其他題名:	mathematical foundations and physical applications /
作者:	Vitali, Ettore.
其他作者:	Motta, Mario.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xiii, 235 p. :digital ;24 cm.
Contained By:	Springer eBooks
標題:	Stochastic processes.
電子資源:	http://dx.doi.org/10.1007/978-3-319-90515-0
ISBN:	9783319905150$q(electronic bk.)

Theory and simulation of random phenomenamathematical foundations and physical applications /
Vitali, Ettore.

Theory and simulation of random phenomenamathematical foundations and physical applications /[electronic resource] :by Ettore Vitali, Mario Motta, Davide Emilio Galli. - Cham :Springer International Publishing :2018. - xiii, 235 p. :digital ;24 cm. - UNITEXT for physics,2198-7882. - UNITEXT for physics..

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.

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.

ISBN: 9783319905150$q(electronic bk.)

Standard No.: 10.1007/978-3-319-90515-0doiSubjects--Topical Terms:

181874
Stochastic processes.

LC Class. No.: QC20.7.S8 / V583 2018

Dewey Class. No.: 530.15923

Theory and simulation of random phenomenamathematical foundations and physical applications /
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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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