Discrete Mathematics Using Latin Squares
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English

CHARLES F. LAYWINE is a professor in the Department of Mathematics at Brock University in Ontario, Canada.

GARY L. MULLEN is a professor in the Department of Mathematics at The Pennsylvania State University in University Park, Pennsylvania.

English

LATIN SQUARES.

A Brief Introduction to Latin Squares.

Mutually Orthogonal Latin Squares.

GENERALIZATIONS.

Orthogonal Hypercubes.

Frequency Squares.

RELATED MATHEMATICS.

Principle of Inclusion-Exclusion.

Groups and Latin Squares.

Graphs and Latin Squares.

APPLICATIONS.

Affine and Projective Planes.

Orthogonal Hypercubes and Affine Designs.

Magic Squares.

Room Squares.

Statistics.

Error-Correcting Codes.

Cryptology.

(t,m,s)-Nets.

Miscellaneous Applications of Latin Squares.

Appendices.

Indexes.

English

"...a welcome addition and expands the options available for teaching...it is refreshing to see authors take a subject they are passionate about and design a unique text around that topic while simultaneously covering many of the basic topics expected..." (SIAM Review, Vol. 44, No. 4)
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