T. Kyle Petersen

Inquiry-Based Enumerative Combinatorics (eBook, PDF)

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

• Format: PDF

Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 238
• Erscheinungstermin: 28. Juni 2019
• Englisch
• ISBN-13: 9783030183080
• Artikelnr.: 57625538

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

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