Probability: An Introduction

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Geoffrey Grimmett (Professor of Mathematical Statistics, Professor of Mathematical Statistics, University of Cambridge) Dominic Welsh (Professor of Mathematics (retired), Professor of Mathematics (retired), University of Oxford)

Probability

An Introduction

Geoffrey Grimmett (Professor of Mathematical Statistics, Professor of Mathematical Statistics, University of Cambridge), Dominic Welsh (Professor of Mathematics (retired), Professor of Mathematics (retired), University of Oxford)

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English

Oxford University Press
04 September 2014

Mathematics & Sciences; Probability & statistics; Stochastics; Maths for scientists

Probability is an area of mathematics of tremendous contemporary importance across all aspects of human endeavour. This book is a compact account of the basic features of probability and random processes at the level of first and second year mathematics undergraduates and Masters' students in cognate fields.

It is suitable for a first course in probability, plus a follow-up course in random processes including Markov chains.

A special feature is the authors' attention to rigorous mathematics: not everything is rigorous, but the need for rigour is explained at difficult junctures. The text is enriched by simple exercises, together with problems (with very brief hints) many of which are taken from final examinations at Cambridge and Oxford. The first eight chapters form a course in basic probability, being an account of events, random variables, and distributions - discrete and continuous random variables are treated separately - together with simple versions of the law of large numbers and the central limit theorem. There is an account of moment generating functions and their applications. The following three chapters are about branching processes, random walks, and continuous-time random processes such as the Poisson process. The final chapter is a fairly extensive account of Markov chains in discrete time.

This second edition develops the success of the first edition through an updated presentation, the extensive new chapter on Markov chains, and a number of new sections to ensure comprehensive coverage of the syllabi at major universities.

By: Geoffrey Grimmett (Professor of Mathematical Statistics Professor of Mathematical Statistics University of Cambridge), Dominic Welsh (Professor of Mathematics (retired), Professor of Mathematics (retired), University of Oxford)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Edition: 2nd Revised edition
Dimensions: Height: 253mm, Width: 178mm, Spine: 26mm
Weight: 1g
ISBN: 9780198709961
ISBN 10: 019870996X
Pages: 288
Publication Date: 04 September 2014
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Dominic Welsh is Professor Emeritus of Mathematics at the University of Oxford and Emeritus fellow of Merton College, Oxford. He held the John von Neumann Professorship at Bonn in 1990-91, and was appointed Professor of Mathematics at Oxford in 1993. His research interests include combinatorics and complexity theory, and he has written more than a hundred papers in these areas. He retired from Oxford University in 2005, and has since then held visiting positions in New Zealand and Barcelona.

Reviews for Probability: An Introduction

-This book is an updated version of the 1986 classic... There is a new chapter on Markov chains, and a few new sections and problems, but the book still retains its concise, direct style.- --MAA Reviews This book is an updated version of the 1986 classic... There is a new chapter on Markov chains, and a few new sections and problems, but the book still retains its concise, direct style. --MAA Reviews