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An Introduction to Probability Theory and Its Applications, Vol. 1 (1950)

by William Feller

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274196,042 (4.12)None
A complete guide to the theory and practical applications of probability theory An Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.… (more)
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If you were to lock me up for a year and allow only one book for the whole time, this is the book I would take with me.
The way each problem is treated is delightful. The book is slightly dated and so it is not a textbook of modern probability theory. But if you want to be hooked to probabiliistic thinking and applications of probability, this is the book.
For me, Feller's book has served as an introduction to the subject, a great reference and sometimes I look into it simply because I want more intuition about something.
If you are going to do research in probability, Volume 1 of Feller's book leads very naturally into Feller - volume 2, or some of the modern probability textbooks like Durrett or the two volume series on stochastic processes by Karlin and Taylor.
This is classical math at its very best.
3 vote redgiant | Mar 21, 2009 |
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A complete guide to the theory and practical applications of probability theory An Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.

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