Background
Dénes, József was born on April 16, 1932 in Budapest. Son of Sándor and Anna (Jokkel) Dénes.
(In 1974 the editors of the present volume published a wel...)
In 1974 the editors of the present volume published a well-received book entitled ''Latin Squares and their Applications''. It included a list of 73 unsolved problems of which about 20 have been completely solved in the intervening period and about 10 more have been partially solved. The present work comprises six contributed chapters and also six further chapters written by the editors themselves. As well as discussing the advances which have been made in the subject matter of most of the chapters of the earlier book, this new book contains one chapter which deals with a subject (r-orthogonal latin squares) which did not exist when the earlier book was written. The success of the former book is shown by the two or three hundred published papers which deal with questions raised by it.
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( Latin Squares and Their Applications, Second edition of...)
Latin Squares and Their Applications, Second edition offers a long-awaited update and reissue of this seminal account of the subject. The revision retains foundational, original material from the frequently-cited 1974 volume but is completely updated throughout. As with the earlier version, the author hopes to take the reader ‘from the beginnings of the subject to the frontiers of research’. By omitting a few topics which are no longer of current interest, the book expands upon active and emerging areas. Also, the present state of knowledge regarding the 73 then-unsolved problems given at the end of the first edition is discussed and commented upon. In addition, a number of new unsolved problems are proposed. Using an engaging narrative style, this book provides thorough coverage of most parts of the subject, one of the oldest of all discrete mathematical structures and still one of the most relevant. However, in consequence of the huge expansion of the subject in the past 40 years, some topics have had to be omitted in order to keep the book of a reasonable length. Latin squares, or sets of mutually orthogonal latin squares (MOLS), encode the incidence structure of finite geometries; they prescribe the order in which to apply the different treatments in designing an experiment in order to permit effective statistical analysis of the results; they produce optimal density error-correcting codes; they encapsulate the structure of finite groups and of more general algebraic objects known as quasigroups. As regards more recreational aspects of the subject, latin squares provide the most effective and efficient designs for many kinds of games tournaments and they are the templates for Sudoku puzzles. Also, they provide a number of ways of constructing magic squares, both simple magic squares and also ones with additional properties. • Retains the organization and updated foundational material from the original edition • Explores current and emerging research topics • Includes the original 73 ‘Unsolved Problems’ with the current state of knowledge regarding them, as well as new Unsolved Problems for further study
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industrial and scientific consultant
Dénes, József was born on April 16, 1932 in Budapest. Son of Sándor and Anna (Jokkel) Dénes.
Diploma in math, Eötvös L. University, 1954. Doctor of Philosophy in Mathematics, Eötvös L. University, 1961.
Head of department Central Research Institute for Physics, Budapest, 1954-1969, Institute Coordination of Computer Techniques/SZKI, 1969-1988. Industrial and science consultant, since 1988. Extrerior associate professor Eötvös L.U., since 1961.
Consultant Institute for Telecomms., Budapest, 1968-1975. Visiting research professor Mathematics Research Center, Madison, 1976. Visiting research fellow University of Surrey, Guildford, United Kingdom, 1986-1987.
Visiting professor Pennsylvania State University State College, 1989. Consultant various Hungarian Banks, since 1989. Lecturer universities in Europe, United States, Canada, Israel, Japan.
Extrerior research fellow Rényi Mathematics Institute Scientific Academy Hungary, since 1964. Research fellow University Southern California, Los Angeles, 1995-1997.
( Latin Squares and Their Applications, Second edition of...)
(In 1974 the editors of the present volume published a wel...)
Member Bolyai Mathematics Society, American Mathematics Society, New York Academy of Sciences.
Married Éva Braun, December 30, 1951. 1 child, Tamás.