Rezensionen / Stimmen
"The book is particularly suitable for IBL enthusiasts majoring in math or computer science." (Andreas N. Philippou, zbMATH 1428.05001, 2020)
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Für höhere Schule und Studium
Illustrationen
95
9 farbige Abbildungen, 95 s/w Abbildungen
XI, 238 p. 104 illus., 9 illus. in color.
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 13 mm
Gewicht
ISBN-13
978-3-030-18310-3 (9783030183103)
DOI
10.1007/978-3-030-18308-0
Schweitzer Klassifikation
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.
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.
