Discrete Encounters

AvCraig Bauer

Häftad, Engelska, 2023

Del i serien Chapman & Hall/CRC Cryptography and Network Security Series

685 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Inbunden

2 021 kr

Skickas inom 10-15 vardagar

Beskrivning

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

Produktinformation

Utgivningsdatum:2023-01-21
Mått:178 x 254 x undefined mm
Vikt:1 520 g
Format:Häftad
Språk:Engelska
Serie:Chapman & Hall/CRC Cryptography and Network Security Series
Antal sidor:732
Förlag:Taylor & Francis Ltd
ISBN:9781032474489

Utforska kategorier

Mer om författaren

Craig P. Bauer is a professor of mathematics at York College of Pennsylvania. He’s theeditor-in-chief of Cryptologia and was the 2011–2012 Scholar-in-Residence at the NationalSecurity Agency’s Center for Cryptologic History. He loves to carry out research, write,and lecture. His previous books are Secret History: The Story of Cryptology and Unsolved!The History and Mystery of the World’s Greatest Ciphers from Ancient Egypt to Online SecretSocieties. With the present book he stays true to his style, blending mathematics andhistory. Craig earned his Ph.D. in mathematics from North Carolina State Universityand did his undergraduate work at Franklin & Marshall College.

Innehållsförteckning

ContentsAcknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ixIntroduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiAuthor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiii0. Continuous vs. Discrete. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11. Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .212. Proof Techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .533. Practice with Proofs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .854. Set Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1015. Venn Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1356. The Functional View of Mathematics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1597. The Multiplication Principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1778. Permutations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1979. Combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .21910. Pascal and the Arithmetic Triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .24311. Stirling and Bell Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .27712. The Basics of Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .30113. The Fibonacci Sequence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .32714. The Tower of Hanoi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .35715. Population Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .38516. Financial Mathematics (and More) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .40517. More Difference Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .42718. Chaos Theory and Fractals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .45319. Cellular Automata . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .51520. Graph Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .57121. Trees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .64122. Relations, Partial Orderings, and Partitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .663Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Mer från samma författare

Secret History

Craig Bauer

Häftad

820 kr

Secret History

Craig Bauer

Jonathan Katz, Yehuda Lindell

Douglas Robert Stinson, Maura Paterson

Inbunden

1 321 kr