Introduction to Probability (Cambridge Mathematical Textbooks) - Hardcover

Anderson, David F.; Seppäläinen, Timo; Valkó, Benedek

Hardcover

ISBN 10: 1108415857 ISBN 13: 9781108415859

Publisher: Cambridge University Press, 2017

Synopsis

This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

About this title

Review

'The authors have carefully chosen a set of core topics, resisting the temptation to overload the reader. They tie it all together with a coherent philosophy. Knowing the authors' work, I would expect nothing less. I predict that this text will become the standard for beginning probability courses.' Carl Mueller, University of Rochester, New York

'This is an excellent book written by three active researchers in probability that combines both solid mathematics and the distinctive style of thinking needed for modeling random systems. It also has a great collection of problems. I expect it to become a standard textbook for undergraduate probability courses at least in the US.' Gregory F. Lawler, University of Chicago

'The content is beautifully set out, with clear diagrams ... Definitions, theorems and key facts are highlighted. The precise natures of general ideas are carefully explained and motivated by diverse examples. Following each chapter, the reader is led gently into set exercises, with explicit signposts initially and more challenging problems at the end.' John Haigh, Significance

Book Description

This textbook is an introduction to probability theory with the right balance between mathematical precision, probabilistic intuition, and concrete applications. It is intended for students with a calculus background, as well as for independent learners and readers. The material is covered precisely, while avoiding excessive technical details.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2017
• ISBN 10: 1108415857
• ISBN 13: 9781108415859
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 442