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The Unity of Combinatorics
About this Title
Ezra Brown, Virginia Polytechnic Institute and State University, Blacksburg, VA and Richard K. Guy, University of Calgary, Calgary, AB, Canada
Publication: Carus Mathematical Monographs
Publication Year:
2020; Volume 36
ISBNs: 978-1-4704-5279-7 (print); 978-1-4704-5667-2 (online)
DOI: https://doi.org/10.1090/car/036
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- Blocks, sequences, bow ties, and worms
- Combinatorial games
- Fibonacci, Pascal, and Catalan
- Catwalks, sandsteps, and Pascal pyramids
- Unique rook circuits
- Sums, colorings, squared squares, and packings
- Difference sets and combinatorial designs
- Geometric connections
- The groups $PSL(2,7)$ and $GL(3,2)$ and why they are isomorphic
- Incidence matrices, codes, and sphere packings
- Kirkman’s Schoolgirls, fields, spreads, and hats
- $(7,3,1)$ and combinatorics
- $(7,3,1)$ and normed algebras
- $(7,3,1)$ and matroids
- Coin turning games and Mock Turtles
- The $(11,5,2)$ biplane, codes, designs, and groups
- Rick’s Tricky Six Puzzle: More than meets the eye
- $S(5,8,24)$
- The miracle octad generator
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