Chapman and Hall/CRC
March 19, 2020 Forthcoming
Textbook - 576 Pages - 148 Color & 270 B/W Illustrations
ISBN 9781498735865 - CAT# K26451
Series: Chapman & Hall/CRC Cryptography and Network Security Series
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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.
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.
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