Stochastic Methods - (Springer Synergetics) 4th Edition by Crispin Gardiner (Hardcover)

About the Book

This classic text and reference collects the many formulae and methods that can be found in the scientific literature on stochastic methods. This fourth edition has been thoroughly updated and restructured, and features a large amount of entirely new material.

Book Synopsis

The Handbook of Stochastic Methods covers systematically and in simple language the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations and stochastic master equations. Strong emphasis is placed on systematic approximation methods for solving problems. The practical orientation and broad coverage will appeal to researchers and academics working in theoretical physics, physical chemistry and mathematical finance.

The inclusion of a new chapter on the numerical treatment of stochastic differential equations further enhances the value of the third edition of this classic text for practitioners.

From the reviews: "Extremely well written and informative... clear, complete, and fairly rigorous treatment of a larger number of very basic concepts in stochastic theory." (Journal of Quantum Electronics)

"A first class book." (Optica Acta)

"Ideal for people who need a clear introduction to stochastic mathematics and their applications in physical sciences... an excellent self study and reference book." (Quantnotes.com)

"This well-established volume takes a supreme position [among the many books on the subject].. This extremely valuable contribution to the field of applied stochastic methods can be recommended to graduate students, researchers, and university teachers." (Optimization)

From the Back Cover

This fourth edition of the classic text "A Handbook of Stochastic Methods" has been significantly augmented, thoroughly revised, and restructured to accomodate the new material within a systematic logical framework. This new edition adheres the original aim: "to make available in simple language and deductive form, the many formulae and methods that can be found in the literature on stochastic methods."

A new chapter on the applications of stochastic methods in finance provides an introduction to this field using the same simple kind of language as the other parts of the book. This chapter also includes an introduction to Lévy processes, which have found to be very useful in simulating financial systems where more accuracy is required than is available from simple Brownian motion models. New material is also provided on the approach to the white noise limit, on the applications of Poisson representation methods to population dynamics, and on several other applications of stochastic methods.

From the reviews of previous editions

"Extremely well written and informative... clear, complete, and fairly rigorous treatment of a larger number of very basic concepts in stochastic theory." (Journal of Quantum Electronics)

"A first class book." (Optica Acta)

"Ideal for people who need a clear introduction to stochastic mathematics and their applications in physical sciencesââ'¬Â] an excellent self study and reference book." (Quantnotes.com)

"This well-established volume takes a supreme position [among the many books on the subject].. This extremely valuable contribution to the field of applied stochastic methods can be recommended to graduate students, researchers, and university teachers." (Optimization)

Review Quotes

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)