Counting Rocks! An Introduction to Combinatorics

This textbook, Counting Rocks!, is the written component of an interactive introduction to combinatorics at the undergradaute level. Throughout the text, we link to videos where we describe the material and provide examples; see the Youtube playlist on the Colorado State University (CSU) Mathematics...

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Bibliographic Details
Main Authors: Adams, Henry (Author), Emmrich, Kelly (Author), Gillespie, Maria (Author), Golden, Shannon (Author), Pries, Rachel (Author)
Format: Electronic eBook
Language:English
Published: [Place of publication not identified] Henry Adams, Rachel Pries, and Maria Gillespie 2023.
Series:Open textbook library.
Subjects:
Online Access:Access online version
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Table of Contents:
  • Preface
  • Contents
  • What is combinatorics?
  • Counting principles
  • Counting combinations
  • Pascal's triangle and the Binomial Theorem
  • Proof techniques in combinatorics
  • Recurrence relations
  • Generating functions
  • Graph theory basics
  • Trees
  • Graph optimization
  • Planar graphs
  • Graph coloring