The unity of combinatorics / Ezra Brown, Richard K. Guy.

Format:

Book

Author/Creator:

Brown, Ezra (Ezra A.), author.

Guy, Richard K., author.

Series:

Carus mathematical monographs ; no. 36.

Carus mathematical monographs ; volume 36

Language:

English

Subjects (All):

Combinatorial analysis.

Game theory.

Error-correcting codes (Information theory).

Physical Description:

xiv, 351 pages : illustrations (some color) ; 23 cm.

Place of Publication:

Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society, [2020]

Contents:

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 P SL(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.

ISBN:

9781470452797

1470452790

OCLC:

1142744171