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      Book

      Discrete Encounters
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      Book

      Discrete Encounters

      DOI link for Discrete Encounters

      Discrete Encounters book

      Discrete Encounters

      DOI link for Discrete Encounters

      Discrete Encounters book

      ByCraig P. Bauer
      Edition 1st Edition
      First Published 2020
      eBook Published 2 June 2020
      Pub. Location New York
      Imprint Chapman and Hall/CRC
      DOI https://doi.org/10.1201/9780429400506
      Pages 732
      eBook ISBN 9780429400506
      Subjects Mathematics & Statistics
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      Bauer, C.P. (2020). Discrete Encounters (1st ed.). Chapman and Hall/CRC. https://doi.org/10.1201/9780429400506

      ABSTRACT

      Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics.

      This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard discrete mathematics material, the author shows the interplay between the discrete and the continuous and includes high-interest topics such as fractals, chaos theory, cellular automata, money-saving financial mathematics, and much more. Not only will readers gain a greater understanding of mathematics and its culture, they will also be encouraged to further explore the subject. Long lists of references at the end of each chapter make this easy.

      Highlights:

      • Features fascinating historical context to motivate readers
      • Text includes numerous pop culture references throughout to provide a more engaging reading experience
      • Its unique topic structure presents a fresh approach
      • The text’s narrative style is that of a popular book, not a dry textbook
      • Includes the work of many living mathematicians
      • Its multidisciplinary approach makes it ideal for liberal arts mathematics classes, leisure reading, or as a reference for professors looking to supplement traditional courses
      • Contains many open problems

      Profusely illustrated

      TABLE OF CONTENTS

      chapter |19 pages

      Continuous vs. Discrete

      chapter 1|31 pages

      Logic

      chapter 2|32 pages

      Proof Techniques

      chapter 3|16 pages

      Practice with Proofs

      chapter 4|34 pages

      Set Theory

      chapter 5|24 pages

      Venn Diagrams

      chapter 6|18 pages

      The Functional View of Mathematics

      chapter 7|19 pages

      The Multiplication Principle

      chapter 8|21 pages

      Permutations

      chapter 9|23 pages

      Combinations

      chapter 10|34 pages

      Pascal and the Arithmetic Triangle

      chapter 11|24 pages

      Stirling and Bell Numbers

      chapter 12|26 pages

      The Basics of Probability

      chapter 13|29 pages

      The Fibonacci Sequence

      chapter 14|28 pages

      The Tower of Hanoi

      chapter 15|20 pages

      Population Models

      chapter 16|22 pages

      Financial Mathematics (and More)

      chapter 17|25 pages

      More Difference Equations

      chapter 18|62 pages

      Chaos Theory and Fractals

      chapter 19|56 pages

      Cellular Automata

      chapter 20|70 pages

      Graph Theory

      chapter 21|21 pages

      Trees

      chapter 22|27 pages

      Relations, Partial Orderings, and Partitions

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