Description
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.
An introductory probability textbook with the right balance between mathematical precision, probabilistic intuition, and concrete applications.
About the Author
David F. Anderson is a Professor of Mathematics at the University of Wisconsin, Madison. His research focuses on probability theory and stochastic processes, with applications in the biosciences. He is the author of over thirty research articles and a graduate textbook on the stochastic models utilized in cellular biology. He was awarded the inaugural Institute for Mathematics and its Applications (IMA) Prize in Mathematics in 2014, and was named a Vilas Associate by the University of Wisconsin, Madison in 2016. Timo Seppalainen is the John and Abigail Van Vleck Chair of Mathematics at the University of Wisconsin-Madison. He is the author of over seventy research papers in probability theory and a graduate textbook on large deviation theory. He is an elected Fellow of the Institute of Mathematical Statistics. He was an IMS Medallion Lecturer in 2014, an invited speaker at the 2014 International Congress of Mathematicians, and a 2015-16 Simons Fellow. Benedek Valko is a Professor of Mathematics at the University of Wisconsin, Madison. His research focuses on probability theory, in particular in the study of random matrices and interacting stochastic systems. He has published over thirty research papers. He has won a National Science Foundation (NSF) CAREER award and he was a 2017-18 Simons Fellow.
Reviews
'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 Information
ISBN 9781108415859
Author David F. Anderson
Format Hardback
Page Count 442
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 1080g
Dimensions(mm) 261mm * 185mm * 23mm
An introductory probability textbook with the right balance between mathematical precision, probabilistic intuition, and concrete applications.
About the Author
David F. Anderson is a Professor of Mathematics at the University of Wisconsin, Madison. His research focuses on probability theory and stochastic processes, with applications in the biosciences. He is the author of over thirty research articles and a graduate textbook on the stochastic models utilized in cellular biology. He was awarded the inaugural Institute for Mathematics and its Applications (IMA) Prize in Mathematics in 2014, and was named a Vilas Associate by the University of Wisconsin, Madison in 2016. Timo Seppalainen is the John and Abigail Van Vleck Chair of Mathematics at the University of Wisconsin-Madison. He is the author of over seventy research papers in probability theory and a graduate textbook on large deviation theory. He is an elected Fellow of the Institute of Mathematical Statistics. He was an IMS Medallion Lecturer in 2014, an invited speaker at the 2014 International Congress of Mathematicians, and a 2015-16 Simons Fellow. Benedek Valko is a Professor of Mathematics at the University of Wisconsin, Madison. His research focuses on probability theory, in particular in the study of random matrices and interacting stochastic systems. He has published over thirty research papers. He has won a National Science Foundation (NSF) CAREER award and he was a 2017-18 Simons Fellow.
Reviews
'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 Information
ISBN 9781108415859
Author David F. Anderson
Format Hardback
Page Count 442
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 1080g
Dimensions(mm) 261mm * 185mm * 23mm
