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＜E-Book＞
The unity of combinatorics / Ezra Brown, Richard K. Guy
(Carus Mathematical Monographs. ISSN:26377535 ; v. 36)

Publisher	(Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society)
Year	[2020]
Size	1 online resource (pages cm.)
Authors	*Brown, Ezra author Guy, Richard K. author
Subjects	LCSH:Combinatorial analysis LCSH:Game theory LCSH:Error-correcting codes (Information theory) FREE:Combinatorics {For finite fields, see 11Txx} -- Designs and configurations {For applications of design theory, see 94C30} -- Block designs [See also 51E05, 62K10]  All Subject Search FREE:Combinatorics {For finite fields, see 11Txx} -- Designs and configurations {For applications of design theory, see 94C30} -- Difference sets (number-theoretic, group-theoretic, etc.) [See also 11B13]  All Subject Search FREE:Combinatorics {For finite fields, see 11Txx} -- Designs and configurations {For applications of design theory, see 94C30} -- Matroids, geometric lattices [See also 52B40, 90C27]  All Subject Search FREE:Combinatorics {For finite fields, see 11Txx} -- Graph theory {For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15} -- Coloring of graphs and hypergraphs  All Subject Search FREE:Number theory -- Sequences and sets  All Subject Search FREE:Group theory and generalizations -- Permutation groups -- Finite automorphism groups of algebraic, geometric, or combinatorial structures [See also 05Bxx, 12F10, 20G40, 20H30, 51-XX]  All Subject Search FREE:Geometry {For algebraic geometry, see 14-XX} -- Finite geometry and special incidence structures -- Steiner systems  All Subject Search FREE:Convex and discrete geometry -- Discrete geometry -- Tilings in $2$ dimensions [See also 05B45, 51M20]  All Subject Search FREE:Game theory, economics, social and behavioral sciences -- Game theory -- Combinatorial games  All Subject Search FREE:Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes  All Subject Search
Contents	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
Notes	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2020 Mode of access : World Wide Web Description based on print version record HTTP:URL=https://www.ams.org/car/036 Information=Contents HTTP:URL=https://doi.org/10.1090/car/036 Information=Contents

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