Inquiry-Based Enumerative Combinatorics: One, Two, Skip a Few... Ninety-Nine, One Hundred


I've got a new book! This one is about enumerative combinatorics, based on a course I've taught for several years at DePaul. Designed for an Inquiry-Based classroom, it contains a sequence of problems that take students from permutations and combinations all the way through to generating function techniques and interesting sequences like the Fibonacci and Catalan numbers. The final few chapters have applications to probability and number theory. Along with the carefully scaffolded sequence of 150 problems across 13 chapters, there are essays between the chapters and dozens of supplemental problems in an appendix.