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In the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners.
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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:
6.5 x 1.2 x 9.3 inches
Shipping Weight: 1.9 pounds (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
7 customer reviews
Amazon Best Sellers Rank:
#686,275 in Books (See Top 100 in Books)
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. Quite often, other authors "cut the corners" in their arguments, oversimplyfying things to the point they fail the sanity check for me. So, I go to Gardiner's book and quite often I find the topic covered there, with much more elegant and precise presentation. I'm glad I stumbled upon it (I am self-studying the subject matter, so I don't have a benefit of access to an experienced lecturer for discussions or consultations).
Two books on stochastic methods I love most are Gardiner's Stochastic Methods and Van Kampen's stochastic processesin physics and chemistry. Both books are very informative, but their contents are not identical and even when the same topicsare discussed two authors' expositions are often different, so it would be much more desirable if both books are available at thesame time. In brief, this is a great book by an expert in quantum noise and quantum optics.
::: 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.)
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!
Crispin Gardiner wrote The Book for physicists.
:)
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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