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© 1997

Discrete Probability

Textbook

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. Hugh Gordon
    Pages 1-16
  3. Hugh Gordon
    Pages 17-40
  4. Hugh Gordon
    Pages 75-110
  5. Hugh Gordon
    Pages 111-134
  6. Hugh Gordon
    Pages 135-163
  7. Hugh Gordon
    Pages 165-181
  8. Hugh Gordon
    Pages 183-207
  9. Hugh Gordon
    Pages 209-249
  10. Back Matter
    Pages 251-267

About this book

Introduction

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.

Keywords

Conditional probability Law of large numbers Markov chain Normal distribution Poisson distribution Random variable Variance random walk

Authors and affiliations

  1. 1.Department of MathematicsSUNY at AlbanyAlbanyUSA

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
  • Copyright Information Springer Science+Business Media New York 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-98227-4
  • Softcover ISBN 978-1-4612-7359-2
  • eBook ISBN 978-1-4612-1966-8
  • Series ISSN 0172-6056
  • Edition Number 1
  • Number of Pages XII, 267
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Probability Theory and Stochastic Processes
  • Buy this book on publisher's site
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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