Latin Squares and Their Applications

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

Produk Detail:

  • Author : A. Donald Keedwell
  • Publisher : Elsevier
  • Pages : 455 pages
  • ISBN : 0444635580
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKLatin Squares and Their Applications

Latin Squares and Their Applications

Latin Squares and Their Applications
  • Author : A. Donald Keedwell,József Dénes
  • Publisher : Elsevier
  • Release : 28 July 2015
GET THIS BOOKLatin Squares and Their Applications

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

Latin Squares

Latin Squares
  • Author : József Dénes,A. Donald Keedwell
  • Publisher : Elsevier
  • Release : 24 January 1991
GET THIS BOOKLatin Squares

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

Latin Squares

Latin Squares
  • Author : József Dénes,A. D. Keedwell,G. B. Beli͡avskai͡a
  • Publisher : North Holland
  • Release : 01 January 1991
GET THIS BOOKLatin Squares

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

Orthogonal Latin Squares Based on Groups

Orthogonal Latin Squares Based on Groups
  • Author : Anthony B. Evans
  • Publisher : Springer
  • Release : 17 August 2018
GET THIS BOOKOrthogonal Latin Squares Based on Groups

This monograph presents a unified exposition of latin squares and mutually orthogonal sets of latin squares based on groups. Its focus is on orthomorphisms and complete mappings of finite groups, while also offering a complete proof of the Hall–Paige conjecture. The use of latin squares in constructions of nets, affine planes, projective planes, and transversal designs also motivates this inquiry. The text begins by introducing fundamental concepts, like the tests for determining whether a latin square is based on

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  • Publisher : Springer Science & Business Media
  • Release : 15 April 2008
GET THIS BOOKThe Concise Encyclopedia of Statistics

The Concise Encyclopedia of Statistics presents the essential information about statistical tests, concepts, and analytical methods in language that is accessible to practitioners and students of the vast community using statistics in medicine, engineering, physical science, life science, social science, and business/economics. The reference is alphabetically arranged to provide quick access to the fundamental tools of statistical methodology and biographies of famous statisticians. The more than 500 entries include definitions, history, mathematical details, limitations, examples, references, and further readings. All

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  • Author : Bruce B. Frey
  • Publisher : SAGE Publications
  • Release : 29 January 2018
GET THIS BOOKThe SAGE Encyclopedia of Educational Research, Measurement, and Evaluation

In an era of curricular changes, experiments, and high-stakes testing, educational measurement and evaluation are more important than ever. In addition to expected entries covering the basics of traditional theories and methods, The SAGE Encyclopedia of Educational Research, Measurement, and Evaluation also covers important sociopolitical issues and trends influencing the future of that research and practice. Textbooks, handbooks, monographs, and other publications focus on various aspects of educational research, measurement, and evaluation, but to date, there exists no major reference

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  • Author : A.S. Hedayat,N.J.A. Sloane,John Stufken
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKOrthogonal Arrays

Orthogonal arrays have played a vital role in improving the quality of products manufactured throughout the world. This first book on the subject since its introduction more than fifty years ago serves as a key resource to this area of designing experiments. Most of the arrays obtained by the methods in this book are available electronically. Anyone running experiments - whether in a chemistry lab or a manufacturing plant, or in agricultural or medical research - will find this book

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  • Author : Janczewski, Lech,Colarik, Andrew
  • Publisher : IGI Global
  • Release : 31 May 2007
GET THIS BOOKCyber Warfare and Cyber Terrorism

"This book reviews problems, issues, and presentations of the newest research in the field of cyberwarfare and cyberterrorism. While enormous efficiencies have been gained as a result of computers and telecommunications technologies, use of these systems and networks translates into a major concentration of information resources, createing a vulnerability to a host of attacks and exploitations"--Provided by publisher.

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  • Author : R. A. Bailey
  • Publisher : Cambridge University Press
  • Release : 17 April 2008
GET THIS BOOKDesign of Comparative Experiments

This book should be on the shelf of every practising statistician who designs experiments. Good design considers units and treatments first, and then allocates treatments to units. It does not choose from a menu of named designs. This approach requires a notation for units that does not depend on the treatments applied. Most structure on the set of observational units, or on the set of treatments, can be defined by factors. This book develops a coherent framework for thinking about

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  • Author : Charles J. Colbourn,Jeffrey H. Dinitz
  • Publisher : CRC Press
  • Release : 02 November 2006
GET THIS BOOKHandbook of Combinatorial Designs

Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence