Latin Squares and Their Applications

摘要: Latin Squares and Their Applications Second edition offers a long-awaited update reissue of this seminal account the subject. The revision retains foundational, original material from frequently-cited 1974 volume but is completely updated throughout. As with earlier version, author hopes to take reader 'from beginnings subject frontiers research'. By omitting few topics which are no longer current interest, book expands upon active emerging areas. Also, present state knowledge regarding 73 then-unsolved problems given at end first discussed commented upon. In addition, number new unsolved proposed. Using an engaging narrative style, provides thorough coverage most parts subject, one oldest all discrete mathematical structures still relevant. However, in consequence huge expansion past 40 years, some have had be omitted order keep reasonable length. squares, or sets mutually orthogonal latin squares (MOLS), encode incidence structure finite geometries; they prescribe apply different treatments designing experiment permit effective statistical analysis results; produce optimal density error-correcting codes; encapsulate groups more general algebraic objects known as quasigroups. regards recreational aspects provide efficient designs for many kinds games tournaments templates Sudoku puzzles. ways constructing magic both simple also ones additional properties. * Retains organization foundational edition* Explores research topics* Includes 'Unsolved Problems' them, well Unsolved Problems further study