Inquiry-Based Enumerative Combinatorics
Inquiry-Based Enumerative Combinatorics This textbook offers the opportunity to create a uniquely engaging combinatorics classroom by embracing Inquiry-Based Learning (IBL) techniques. Students will…
Specifikacia Inquiry-Based Enumerative Combinatorics
Inquiry-Based Enumerative Combinatorics
This textbook offers the opportunity to create a uniquely engaging combinatorics classroom by embracing Inquiry-Based Learning (IBL) techniques. Students will feel a sense of accomplishment as their collective inquiry traces a path from the basics to important generating function techniques.Beginning with an exploration of permutations and combinations that culminates in the Binomial Theorem, the text goes on to guide the study of ordinary and exponential generating functions. Readers are provided with a carefully chosen progression of theorems to prove and problems to actively solve.
Throughout, the theory unfolds via over 150 carefully selected problems for students to solve, many These tools underpin the in-depth study of Eulerian, Catalan, and Narayana numbers that follows, and a selection of advanced topics that includes applications to probability and number theory.