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Discrete Probability

  • Textbook
  • © 1997

Overview

Authors:
  1. Hugh Gordon

    1. Department of Mathematics, SUNY at Albany, Albany, USA

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  • No knowledge of calculus required - Includes short biographical essays of some of the famous contributions to probability, including Fermat, Pascal, Laplace, Bayes, Bernoulli and Markov - The book comprises an abundance of 405 problems (with answers) to clarify topics.

Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introduction

    • Hugh Gordon
    Pages 1-16

  3. Counting

    • Hugh Gordon
    Pages 17-40

  4. Independence and Conditional Probability

    • Hugh Gordon
    Pages 41-74

  5. Random Variables

    • Hugh Gordon
    Pages 75-110

  6. More About Random Variables

    • Hugh Gordon
    Pages 111-134

  7. Approximating Probabilities

    • Hugh Gordon
    Pages 135-163

  8. Generating Functions

    • Hugh Gordon
    Pages 165-181

  9. Random Walks

    • Hugh Gordon
    Pages 183-207

  10. Markov Chains

    • Hugh Gordon
    Pages 209-249

  11. Back Matter

    Pages 251-267
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Keywords

About this book

DISCRETE PROBABILITY is a textbook, at a post-calculus level, for a first course in probability. Since continuous probability is not treated, discrete probability can be covered in greater depth. The result is a book of special interest to students majoring in computer science as well as those majoring in mathematics. Since calculus is used only occasionally, students who have forgotten calculus can nevertheless easily understand the book. The slow, gentle style and clear exposition will appeal to students. Basic concepts such as counting, independence, conditional probability, randon variables, approximation of probabilities, generating functions, random walks and Markov chains are presented with good explanation and many worked exercises. An important feature of the book is the abundance of problems, which students may use to master the material. The 1,196 numerical answers to the 405 exercises, many with multiple parts, are included at the end of the book. Throughout the book, various comments on the history of the study of probability are inserted. Biographical information about some of the famous contributors to probability such as Fermat, Pascal, the Bernoullis, DeMoivre, Bayes, Laplace, Poisson, Markov, and many others, is presented. This volume will appeal to a wide range of readers and should be useful in the undergraduate programs at many colleges and universities.

Reviews

"The strength of the book are undoubtedly its exercises (over 400 of them), all with numerical solutions, and the many interesting remarks on the history of probability theory and biographies of important personalities that are scattered throughout the book."
European Mathematical Society Newsletter, December 2000

Authors and Affiliations

  • Department of Mathematics, SUNY at Albany, Albany, USA

    Hugh Gordon

Bibliographic Information

  • Book Title: Discrete Probability

  • Authors: Hugh Gordon

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-1966-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-387-98227-4Published: 17 October 1997

  • Softcover ISBN: 978-1-4612-7359-2Published: 27 September 2012

  • eBook ISBN: 978-1-4612-1966-8Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: XII, 267

  • Topics: Probability Theory and Stochastic Processes

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