Discrete Explorations: 1st Edition (Hardback) book cover

Discrete Explorations

1st Edition

By Craig Bauer

Chapman and Hall/CRC

576 pages | 148 Color Illus. | 270 B/W Illus.

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Hardback: 9781498735865
pub: 2020-03-19
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Eschewing the standard dry and static writing style of traditional textbooks, Discrete Explorations provides a refreshing approach to discrete mathematics. The author combines traditional course topics with popular culture, applications, and various historical examples. This book focuses on the historical development of the subject and provides details on the people behind mathematics and their motivations, which will deepen readers’ appreciation of mathematics.

With its unique style, the book covers many of the same topics found in other texts but done in an alternative, entertaining style that better captures readers’ attention. Defining discrete mathematics, the author also covers many different topics. These include combinatorics, fractals, permutations, difference equations, graph theory, trees and financial mathematics. Not only will readers gain a greater impression of mathematics, but they’ll be encouraged to further explore the subject.



  • Features fascinating historical references to motivate readers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 reads more like a popular book instead of a dry textbook
  • Covers many topics from combinatorics, as well as discrete mathematics

Table of Contents

Continuous vs. Discrete. Logic. Proof Techniques. Practice with Proofs. Set Theory. Venn Diagrams. The Functional View of Mathematics. The Multiplication Principle. Permutations. Combinations. Pascal’s Triangle. Stirling and Bell Numbers. The Basics of Probability. The Fibonacci Sequence. The Tower of Hanoi. Population Models.: Financial Mathematics. More Difference Equationss. Chaos Theory and Fractals. Cellular Automata. Graph Theory. Trees. Relations, Partial Orderings, and Partitions.

About the Author

Craig P. Bauer is an associate professor of mathematics from York College of Pennsylvania and the editor-in-chief of Cyptologia. He earned a Ph.D. from North Carolina State University and was a Scholar-in-Residence at the National Security Agency’s (NSA) Center for Cryptologic History, where he wrote several papers for NSA journals. He has also written several books including Secret History: The Story of Cryptology published by CRC Press/Chapman & Hall. His research interests include cryptology and enumerative combinatorics.

About the Series

Chapman & Hall/CRC Cryptography and Network Security Series

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Subject Categories

BISAC Subject Codes/Headings:
COMPUTERS / Operating Systems / General
MATHEMATICS / Combinatorics