Technometrics 11 2 , It should not be necessary to describe in detail the contents of this book - except insofar as it differs from that of the previous edition - since, without a doubt, virtually every reader of this review either owns or has seen a copy. Nevertheless, it seems like a good idea to be reminded of the enormous significance of Feller's book to the development and application of probability theory during the past eighteen years, and of the book's continuing usefulness - to mathematician and non-mathematician alike - even today when so many "specialized works streamlined for particular needs" as Feller says are available.
Nowadays nearly all the formal material can be found elsewhere, often in more suitable form.
William Feller, An Introduction to Probability Theory and its Applications Vol. I - PhilPapers
But only Feller's book "operates" on so many levels simultaneously. Most of the others are more or less merely textbooks. Feller's book is really a "happening.
Review by: H Kesten. SIAM Review 11 1 , The appearance of the third edition of this well-known book not long after the second edition became available as a paperback attests to the popularity of this book. This popularity is well deserved, since there are few other books which give the reader so clear an impression of the beauty and excitement of probability theory. The author also takes pain to show by means of examples how the theory can be applied or was stimulated by practical problems.
21 editions of this work
To be sure, this first volume is an "elementary" textbook, restricted to discrete variables, which does not take the reader to present-day research, but it is ideally suited to get the students interested in the field. One should not under- estimate, however, the amount and depth of material in the book.
Even though almost self-contained e. In addition there is always Volume 2 to learn about continuous distributions and a great deal more. The difference between this edition and the second is not great. The present edition has almost 50 pages more than the second edition.
Review by: K Krickeberg. Feller's book is so well-known that a review of its third edition should confine itself to the changes from the second. There are many minor changes, testifying to a careful revision and adaptation to recent developments including additional references and new applications; for example, the calculation of the expectation in the problem of Banach's match boxes has been transferred to the problem section, and replaced by an elementary statistical application of the concept of expectation in biology.
There are, however, many major changes as well. The book has gained considerably by streamlining without losing any of its original character, its charm and usefulness, its clarity and its diversity in mathematical and applied respects 3.
An Introduction to Probability Theory and Its Applications, Volume 1
Review by: David W Miller. Introduction to probability theory.
- An Introduction to Probability Theory and Its Applications. Vol. 1. 3rd. Ed. W. Feller;
- 21 editions of this work.
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