- Hardcover: 509 pages
- Publisher: Wiley; 3rd edition (1968)
- Language: English
- ISBN-10: 0471257087
- ISBN-13: 978-0471257080
- Product Dimensions: 6.3 x 1.1 x 9.2 inches
- Shipping Weight: 1.7 pounds (View shipping rates and policies)
- Average Customer Review: 4.6 out of 5 stars See all reviews (20 customer reviews)
- Amazon Best Sellers Rank: #353,078 in Books (See Top 100 in Books)
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An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition 3rd Edition
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From the Publisher
Major changes in this edition include the substitution of probabilistic arguments for combinatorial artifices, and the addition of new sections on branching processes, Markov chains, and the De Moivre-Laplace theorem.
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Top Customer Reviews
The author says that 7.3 is "easily verified". The most difficult of conclusions are named obvious and easy by the author. Feller is exceptionally brilliant, but he has real difficulty explaining concepts to someone below his level.
Content in the book is excellent if you are willing to put in the time. There were some really interesting conclusions about "fair" games and how often the theory diverges from what one observes in real world situations.
This book could be really useful for someone interested in advanced theoretical probability theory.
It is a pleasure to read a book from one of the masters of probability. You can feel, page after page, how the author goes on and on, introducing ideas and concepts in such an intuitive way, that you want to keep on reading.
The chapter dedicated to random walks is particularly illuminating.
The more you read, the more you get into the incredible depth of the text.
Volume I is dedicated to the discrete probability and Volume II to the continuous (measure-theoretic) probability.
If you are interested in the subject, you must have both volumes. Every time you pick up one of them, you will discover a hidden treasure not unveiled in previous readings.
He gets to the gist of the idea without alot of math.
This book is useful for teaching very creative people
as it has a wide variety of problems from easy to
research level (what ever that might be...)
This is a difficult book and was not widely used even in the 70s as a textbook. I can recall the word "idiosyncratic" being used by someone to describe the book. The problem is that the book seeks to address deep issues and that requires hard work. It is not the sort of book a struggling student will find helpful. As one matures as a mathematician one can appreciate the incredible depth of the material. As a practical example - about 30 years after I first touched this book a Head of Quant approached me in relation to a paper by Marsaglia on distributions of ratios of normal variates. The verification of Marsgalia's derivation (which is non-trivial) is to be found as a series of 3 problems in Vol 1.
With the development of stochastic calculus in the finance world Feller can look a bit outdated but if you can understand the core material you are doing well. Stochastic calculus would be a push over.
Vols 1 and 2 present a treasure trove for those who want to delve into the area. I still use Feller's coin tossing example from Vol 1 to demonstrate to those in the finance world that their understanding of the "law of averages" is imperfect.
The funny thing is that Vol 2 (which I could never afford as a student) is so hard to get. I think that was because Vol 2 was regarded as even more obscure than Vol 1. I got a copy from Amazon second hand and it is now united with its twin in my study.
BONDI BEACH AUSTRALIA
Whatever your preferred writing style is, Feller is probably a "must-read" if you're involved on probability theory, just because of its importance in the literature, not because you like it. Maths are not just about formalism, they're also a matter of culture.
Most Recent Customer Reviews
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