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

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

This textbook offers the opportunity to create a uniquely engaging combinatorics classroom by embracing Inquiry-Based Learning (IBL) techniques. Readers are provided with a carefully chosen progression of theorems to prove and problems to actively solve. Students will feel a sense of accomplishment...

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Bibliographic Details
Main Author: Petersen, T. Kyle (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
Edition:1st ed. 2019.
Series:Undergraduate Texts in Mathematics,
Subjects:
Combinatorics.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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.

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