David F. Anderson (Madison University of Wisconsin), Timo Seppalainen (Madison University of Wisconsin), Benedek Valko (Madison University of Wisconsin)

Introduction to Probability

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Cambridge Mathematical Textbooks
• Verlag: Cambridge University Press
• Seitenzahl: 442
• Erscheinungstermin: 2. November 2017
• Englisch
• Abmessung: 265mm x 187mm x 24mm
• Gewicht: 1068g
• ISBN-13: 9781108415859
• ISBN-10: 1108415857
• Artikelnr.: 48386158

Autorenporträt

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.

Inhaltsangabe

1. Experiments with random outcomes; 2. Conditional probability and independence; 3. Random variables; 4. Approximations of the binomial distribution; 5. Transforms and transformations; 6. Joint distribution of random variables; 7. Sums and symmetry; 8. Expectation and variance in the multivariate setting; 9. Tail bounds and limit theorems; 10. Conditional distribution; Appendix A. Things to know from calculus; Appendix B. Set notation and operations; Appendix C. Counting; Appendix D. Sums, products and series; Appendix E. Table of values for (x); Appendix F. Table of common probability distributions.

Rezensionen

'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