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Product Review Summary: The best math book of all time 'Bessel Functions', by Watson, has often been called the best math book of all time. I have no doubt it is in the top 10. Even though it is 50+ years old, it is well worth studying. It is the best book ever written about any special function.Watson makes the needed complex analysis, generating functions, etc., simple, even obvious. I own hundreds of advanced math books, and this is one of the few that I can lay on the couch and read for fun. Here is an old joke: Whittaker was the worst math author of all time (check out 'analytic dynamics'). Watson is so good that 'Modern analysis' by Whittaker and Watson is mediocre. Another interesting connection: As I recall from the obituary in Physics Today, in the late 1930's Onsager needed a Ph. D. to stay at Harvard and avoid returning home to WW2. He had his notebook in which (as a sophemore chem major in Europe) he had solved all the problems but 4 in Whittaker and Watson. MIT gave him a math Ph. D. on the spot because 8 or 10 had never been solved by anyone, including W&W.
Product Review Summary: Ultimate reference book for Bessel's function, even today! Whenever one want to find a book on Bessel Functions, it is simple, there is only one book on that subject, here is that book!!! There is no need to say any further praise words for that book. Like the book " A course of Modern Analysis " by Whittaker and Watson,these are the Classics of Classics.If soneone who are doing pure mathematics or applied mathematics who do not know about them or their books.
God bless you!!! ...
Product Review Summary: Definitive text I found this book a struggle, but there again, I was young and found complex integration a bit strange.This having been said, I must say that since then I have yearned for this text all the way through my physics degree and beyond. You could almost say that if it ain't here, its ain't nowhere, buddy.... However, that of course isn't quite true these days. The depth of the book is extraordinary. The nicest chapters are in the middle, where the integral representations are described. Quite honestly, by then you are over the rather dry beginning and if you really got over that and the basic material, this where the text flies... Its a lot of fun, very hard, but my gosh, do you get some heavy duy stuff under your belt.
Product Review Summary: Classic Watson's classic text was written before the more modern age of "topologically flavored" arguments. Consequently, much of the presentation may appear to be a bit ponderous, relying on explicit calculational detail when that is no longer strictly necessary. By now many points can be deduced "by pure thought". However, the text gives a very complete and deep view of Bessel's functions. Because it "does everything" it is also a fine and practical way to learn complex analysis in the style of the "old school". If you just can't stand older style writing, you should probably look at Olver's book on special functions. If you can tolerate the old style, buy this and have many (many, many) hours of good fun and insight.
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A Course of Modern Analysis
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