Probability And Random Processes - Couverture souple

Grimmett, G-R

Couverture souple

ISBN 10 : 0198536658 ISBN 13 : 9780198536659

Editeur : Clarendon Press, 1992

Synopsis

This successful text has now been comprehensively revised. There are three main aims: to provide a simple but rigorous introduction to probability without exposing the reader to over-much measure theory, to discuss a wide range of random processes in some depth with many examples, and to give the beginner some flavour of more advanced work, by suitable choice of material. The book begins with basic material commonly covered in first-year undergraduate mathematics and statistics courses, and finishes with topics to be found in graduate courses. Important features of this new edition include: new and expanded sections in the early chapters providing more illustrative examples and introducing more ideas early on; two new chapters providing more comprehensive treatment of the simpler properties of martingales and diffusion processes; and more exercises at the ends of almost all sections, with many new problems at the ends of the chapters. The companion volumes Probability and Random Processes: Problems and Solutions (Oxford University Press 1992) includes complete worked solutions to all exercises and problems of this edition. This book is intended for students at all undergraduate and graduate levels in mathematics and statistics.

A propos du livre

Revue de presse

... 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)

Présentation de l'éditeur

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, Itô'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).

Détails de l'édition

• Éditeur: Clarendon Press
• Date d'édition: 1992
• ISBN 10: 0198536658
• ISBN 13: 9780198536659
• Reliure: Broché
• Langue: anglais
• Numéro d'édition: 2
• Nombre de pages: 553
• Coordonnées du fabricant: non disponible