Probability And Random Processes - Softcover

Grimmett, Geoffrey R.

Softcover

ISBN 10: 0198572220 ISBN 13: 9780198572220

Publisher: Oxford University Press, U.S.A., 2001

Synopsis

This book gives an introduction to probability and its many practical application by providing a thorough, entertaining account of basic probability and important random processes, covering a range of important topics. Emphasis is on modelling rather than abstraction and there are new sections on sampling and Markov chain Monte Carlo, renewal-reward, queueing networks, stochastic calculus, and option pricing in the Black-Scholes model for financial markets. In addition, there are almost 400 exercises and problems relevant to the material. Solutions can be found in One Thousand Exercises in Probability.

About this title

Review

... 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)

Synopsis

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: to provide a thorough but straightforward account of basic probability, giving the reader a natural feel for the subject unburdened by oppressive technicalities; to discuss important random processes in depth with many examples; to cover a range of important but less routine topics; 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, Itoc;'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).

Edition details

• Publisher: Oxford University Press, U.S.A.
• Publication date: 2001
• ISBN 10: 0198572220
• ISBN 13: 9780198572220
• Binding: Paperback
• Language: English
• Edition number: 3
• Number of pages: 608