Inquiry-Based Enumerative Combinatorics

One, Two, Skip a Few... Ninety-Nine, One Hundred

AvT. Kyle Petersen

Häftad, Engelska, 2020

Del i serien Undergraduate Texts in Mathematics

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Beskrivning

Throughout, the theory unfolds via over 150 carefully selected problems for students to solve, many of which connect to state-of-the-art research. Inquiry-Based Enumerative Combinatoricsis ideal for lower-division undergraduate students majoring in math or computer science, as there are no formal mathematics prerequisites.

Produktinformation

Utgivningsdatum:2020-08-25
Mått:155 x 235 x 13 mm
Vikt:441 g
Format:Häftad
Språk:Engelska
Serie:Undergraduate Texts in Mathematics
Antal sidor:238
Upplaga:20001
Förlag:Springer Nature Switzerland AG
ISBN:9783030183103

Utforska kategorier

Diskret matematik inom Naturvetenskap och teknik

Mer om författaren

T. Kyle Petersen is Professor of Mathematics at DePaul University in Chicago. His research interests lie in algebraic, enumerative, and topological combinatorics, and he has been an active member of the Inquiry-Based Learning (IBL) community for over a decade. His graduate textbook, Eulerian Numbers, appears in Birkhäuser Advanced Texts Basler Lehrbücher.

Recensioner i media

“The book is particularly suitable for IBL enthusiasts majoring in math or computer science.” (Andreas N. Philippou, zbMATH 1428.05001, 2020)

Innehållsförteckning

0. Introduction to this book.- 1. First Principles.- 2. Permutations.- 3. Combinations.- 4. The Binomial Theorem.- 5. Recurrences.- 6. Generating Functions.- 7. Exponential Generating Functions and Bell Numbers.- 8. Eulerian Numbers.- 9. Catalan and Narayana Numbers.- 10. Refined Enumeration.- 11. Applications to Probability.- 12. Some Partition Theory.- 13. A Bit of Number Theory.- A. Supplementary Exercises.