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Pressestimmen
... aims to be a full and comprehensive account of (almost all) the probability theory and stochastic processes one could hope to teach to undergraduates ... Much new material has been included in this third edition to reflect recent developments in the subject ... As well as its masterful coverage of the material, the book has many appealing stylistic features ... extremely valuable in finding good proofs of theorems which are dealt with rather cursorily in other textbooks. The Mathematical Gazette One of the strong features of the book is its large collection of interesting exercises, which has been greatly expanded in this new edition so that there are now over one thousand exercises. These are conveniently collected together in a separate volume that includes full solutions. Biometrics As well as its masterful coverage of the material, the book has many appealing stylistic features. Mathematical Gazette This is definitely one of my favourites as a textbook ... a wealth of interesting teaching material at all levels. Short Book Reviews of the ISI Since its first appearance in 1982 Probability and Random Processes has been a landmark book on the subject and has become mandatory reading for any mathematician wishing to understand chance. It is aimed mainly at final-year honours students and graduate students, but it goes beyond this level, and all serious mathematicians and academic libraries should own a copy ... the companion book of exercises is cleverly conceived and ... form(s) a perfect complement to the main text. Times Higher Education Supplement
Kurzbeschreibung
The third edition of this successful text gives a rigorous introduction to probability theory and the discussion of the most important random processes in some depth. It includes various topics which are suitable for undergraduate courses, but are not routinely taught. It is suitable to the beginner, and provides a taste and encouragement for more advanced work. There are four main aims: 1) to provide a thorough but straightforward account of basic probability, giving the reader a natural feel for the subject unburdened by oppressive technicalities, 2) to discuss important random processes in depth with many examples. 3) to cover a range of important but less routine topics, 4) to impart to the beginner the flavour of more advanced work. The books begins with basic ideas common to many undergraduate courses in mathematics, statistics and the sciences; in concludes with topics usually found at graduate level. The ordering and numbering of material in this third edition has been mostly preserved from the second. Minor alterations and additions have been added for clearer exposition. Highlights include new sections on sampling and Markov chain Monte Carlo, geometric probability, coupling and Poisson approximation, large deviations, spatial Poisson processes, renewal-reward, queueing networks, stochastic calculus, Ito's formula and option pricing in the Black-Scholes model for financial markets. In addition there are many (nearly 400) new exercises and problems that are entertaining and instructive; their solutions can be found in the companion volume 'One Thousand Exercises in Probability', (OUP 2001).
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2 von 2 Kunden fanden die folgende Rezension hilfreich
Format:Taschenbuch|Von Amazon bestätigter Kauf
Few introductory mathematical texts deserve the sort of praise which is due to this book. Both encompassing and compassionate, this is a very enticing invitation to the subject of probability. The book excels at covering both a remarkable breadth of subjects ranging from the foundations of probability in measure theory to the Ito integral and applications thereof. The theory is presented in sufficient depth, and formal statements and proofs are suitably counterbalanced by lengthy worked examples which often are of much interest on their own. I have particularly enjoyed reading the short but elegant derivation of a formula which relates the area of a triangle to the the area of a triangle chosen at random within the first triangle. Asides of this kind add the flesh to the otherwise dreary skeleton of theory. Both the presentation and the style of writing are lucid, and sometimes the remarks verge on the humorous.
The number of exercises is enough to keep you busy for a long time. They range from routine to the fairly difficult, but never impossible. Solutions are contained in the companion One Thousand Exercises in Probability, which is a useful addition to the textbook.
The number of exercises is enough to keep you busy for a long time. They range from routine to the fairly difficult, but never impossible. Solutions are contained in the companion One Thousand Exercises in Probability, which is a useful addition to the textbook.
5 von 6 Kunden fanden die folgende Rezension hilfreich
Format:Taschenbuch
If you want to offer yourself a thorough grounding is mathematical statistics, this IS the text to have; starts humble, but then covers an enormity of topics (with humour even)-the chapter on ergodicity is splendid- with an understanding of how the mind of the reader actually does assimilate information (hardly anything is taken for granted)....a classic
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41 von 48 Kunden fanden die folgende Rezension hilfreich
Actually this is a very good book for learning
29. August 2002
Format:Taschenbuch
I mostly agree with the positive reviews of the 3rd edition of Grimmett & Stirzaker's *Probability and Random Processes.* I wanted to address the criticism by the previous reviewer and add some detail regarding the 3rd edition (I suspect that the prior reviews might be based on the 1st 2 editions of the book).
(1) The prior reviewer might have a point in that this book may not have as many exercises and examples that are worked out to be helpful to the learner. However, this is because there is a companion book -- *One Thousand Exercises in Probability* (2nd ed.) -- that is designed to provide those examples and exercises. That book contains the answers/solutions to each and every exercise posed in that book. That book also closely follows the topics of this book. Together, those 2 books by Grimmett & Stirzaker should meet all of the requirements for self-studiers of probability theory. [Really, the 2 books should be seen as a set.]
(2) The 3rd edition of this book (along with exercises/answer book) cover a wide range of topics from probability starting from basics and going up to applications like queueing, Monte Carlo & Markov Chain Monte Carlo, Ito's Lemma & financial option valuation, etc. In short, this set of books should enable the sufficiently motivated to go from basic probability to a point where they can approach useful problems in applied probability (rather than toy problems offered by other books which, by the way, don't usually give the answers).
(3) Stirzaker (Oxford) has one of the best approaches to thinking about probability that I have ever come across. It is well worth it to expose oneself to his viewpoint.
15 von 19 Kunden fanden die folgende Rezension hilfreich
Too advanced for beginner
26. Oktober 2003
Format:Taschenbuch
I think this book is good but very difficult to read. If you are beginners of probability, I suggest read other books like Sheldon Ross's "First Course in Probability" or "Introduction to Probability Models".
20 von 27 Kunden fanden die folgende Rezension hilfreich
very good for self study
3. November 2005
Format:Taschenbuch
I'm using the book as a fourth year economics student, so I already have some knowledge about probability (a very good introduction is by deGroot, probability and statistics). it is not appropriate to give the book a bad review just because it is too advanced for some reader.
so I'm writing this "review" to emphasise that the book is very good for self study even if you can't understand every single example. it may take some time (if not then you are studying stuff you already know which is not good) but it really teaches you about probability.
so I'm writing this "review" to emphasise that the book is very good for self study even if you can't understand every single example. it may take some time (if not then you are studying stuff you already know which is not good) but it really teaches you about probability.
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