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Stochastic Methods: A Handbook for the Natural and Social Sciences (Springer Series in Synergetics) [Hardcover]

Crispin Gardiner
4.5 out of 5 stars  See all reviews (4 customer reviews)

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Book Description

January 16, 2009 3540707123 978-3540707127 4th ed. 2009

In the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners.

Frequently Bought Together

Stochastic Methods: A Handbook for the Natural and Social Sciences (Springer Series in Synergetics) + The Fokker-Planck Equation: Methods of Solution and Applications (Springer Series in Synergetics) + Stochastic Processes in Physics and Chemistry, Third Edition (North-Holland Personal Library)
Price for all three: $246.44

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Editorial Reviews


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)

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 sciences… an excellent self study and reference book." (

"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)

Product Details

  • Series: Springer Series in Synergetics (Book 13)
  • Hardcover: 447 pages
  • Publisher: Springer; 4th ed. 2009 edition (January 16, 2009)
  • Language: English
  • ISBN-10: 3540707123
  • ISBN-13: 978-3540707127
  • Product Dimensions: 9.3 x 6.5 x 1.2 inches
  • Shipping Weight: 1.9 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #962,034 in Books (See Top 100 in Books)

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Customer Reviews

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Most Helpful Customer Reviews
2 of 2 people found the following review helpful
5.0 out of 5 stars Must-have for all stochastic processes calculations February 24, 2013
By Melanie
Format:Paperback|Verified Purchase
This book is awesome for learning how to do calculations on stochastic processes. even more important, it's also useful for referencing later when you need to do these calculations in your own projects. There's good reason this book is a classic!
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4 of 5 people found the following review helpful
Format:Paperback|Verified Purchase
::: Update::: Issue fixed by direct Springer replacement!!! Springer kindly sent new copy from U.K. print-shop and now it is perfect. (Original problemnatic print was from Lexington, KY, U.S.A. print-shop.)

Do not buy this book until Springer production fixes the printing machine (Lexington, KY as of June 2012). The print quality is 4th rate! Worst than many special, cheaper region specific edition books. The first, brand new book I received was kindly and quickly replaced by Amazon - great service. However, the low-contrast, highly-pixelated print throughout the book was exactly the same. I got tired of asking for yet another replacement because the problem obviously was/is with the printing machine, not Amazon. I e-mailed Springer about the two successive bad print quaility copies maybe a month ago - no response yet. Springer post-sales service quality = ??? Very, very surprising. (As for the contents - I'm not qualified to make expert comments on the material / presentation / organization - it does look very interesting & well-organized! I have a physics background.)
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5.0 out of 5 stars Best book on stochastic processes for physicists April 14, 2014
Format:Paperback|Verified Purchase
This is the best book on stochastic processes I was able to find so far. I am a physicist, so mathematical texts are not useful for me, as they tend to focus on mathematical minutiae (proof of existence, proof of convergence, conditions for absolute, mean, mean square existence of limits, the regions of convergence, etc). This just dilutes the main line of thought, obscuring the forest by studying the trees, one leaf at a time. On the other hand, many books for non-mathematicians are full of "engineering arguments", i.e. they present results without shread of proof and expect the reader to take them "on faith", which I dislike profoundly.

This one found a happy medium - the arguments are logical, and in most cases avoid the pitfalls of oversimplifications while keeping the flow manageable. Warning to the newbies: this text is not easy to read, it presents smart, elegant arguments in quite a telegraphic style, so that sometime a significant effort is needed to fill-in the details of the derivations. In my typical workflow I start reading upon a topic, go "wow! that's cool!", then I stumble upon a gap in the line of arguments that's fully opaque to me. It typically takes me from several hours to a few days to work it out and fill the gap, and sometime I need to consult other books on calculational details. It does not help that the text has typos galore, often it turns out my difficulty with the derivation is due to a typo and I need to painstakingly perform the entire calculation by myself to correct it (i.e. the typo).

Having said that, I found this book so useful that I keep it around and consult it when I read other texts.
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1 of 2 people found the following review helpful
3.0 out of 5 stars Not very rigorous March 12, 2013
By D.E.
Format:Hardcover|Verified Purchase
The whole purpose for the lack of rigor, I suspect, is to make it easy to read for non-Mathematicians, but I find that this makes it even harder to read. The subject is already hard enough without leaving out the fine details that would make it clearer. But then again, I'm a Mathematician, so perhaps I have a slight bias.
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