Bauer G. Discrete Encounters 2020 torrent

Textbook in PDF format

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.
Acknowledgments.
Introduction.
Author.
Continuous vs. Discrete.
Logic.
Proof Techniques.
Practice with Proofs.
Set Theory.
Venn Diagrams.
The Functional View of Mathematics.
The Multiplication Principle.
Permutations.
Combinations.
Pascal and the Arithmetic Triangle.
Stirling and Bell Numbers.
The Basics of Probability.
The Fibonacci Sequence.
The Tower of Hanoi.
Population Models.
Financial Mathematics (and More).
More Difference Equations.
Chaos Theory and Fractals.
Cellular Automata.
Graph Theory.
Trees.
Relations, Partial Orderings, and Partitions.
Index