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Stochastic Methods: A Handbook for the Natural and Social Sciences

Stochastic Methods: A Handbook for the Natural and Social Sciences

Authors
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Year 16/01/2009
Pages 447
Version hardback
Readership level Professional and scholarly
Language English
ISBN 9783540707127
Categories Economic theory & philosophy
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Book description

In the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners. From the reviews of the fourth edition:

"This is the fourth edition of a textbook intended for everyone interested in practising stochastic processes. ... this fourth one is 'thoroughly revised and augmented, and has been completely reset. ... this new edition is designed to cater better for the wider readership as well as to those [he] originally had in mind'. ... The bibliography is well presented, with a list of the references cited in each chapter, a commented global bibliography and an author index." (Yves Elskens, Belgian Physical Society Magazine, Issue 2, 2012)

Stochastic Methods: A Handbook for the Natural and Social Sciences

Table of contents

A Historical Introduction.- Probability Concepts.- Markov Processes.- The Ito Calculus and Stochastic Differential Equations.- The Fokker-Planck Equation.- The Fokker-Planck Equation in Several Dimensions.- Small Noise Approximations for Diffusion Processes.- The White Noise Limit.- Beyond the White Noise Limit.- Levy Processes and Financial Applications.- Master Equations and Jump Processes.- The Poisson Representation.- Spatially Distributed Systems.- Bistability, Metastability, and Escape Problems.- Simulation of Stochastic Differential Equations.

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