Latin Squares and Their Applications

Written By A. Donald Keedwell
Latin Squares and Their Applications
  • Publsiher : Elsevier
  • Release : 28 July 2015
  • ISBN : 0444635580
  • Pages : 455 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Latin Squares and Their Applications written by A. Donald Keedwell which was release on 28 July 2015, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: 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

Latin Squares and Their Applications

Latin Squares and Their Applications
  • Author : A. Donald Keedwell,József Dénes
  • Publisher : Elsevier
  • Release Date : 2015-07-28
  • Total pages : 455
  • ISBN : 0444635580
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Summary : 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 ...

Latin Squares

Latin Squares
  • Author : József Dénes,A. Donald Keedwell
  • Publisher : Elsevier
  • Release Date : 1991-01-24
  • Total pages : 452
  • ISBN : 0444635580
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Summary : 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 ...

Latin Squares and Their Applications

Latin Squares and Their Applications
  • Author : József Dénes,A. D. Keedwell
  • Publisher : Unknown
  • Release Date : 1974
  • Total pages : 547
  • ISBN : 0444635580
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Summary : Download or read online Latin Squares and Their Applications written by József Dénes,A. D. Keedwell, published by which was released on 1974. Get Latin Squares and Their Applications Books now! Available in PDF, ePub and Kindle....

Some Aspects Of Latin Squares And Their Applications

Some Aspects Of Latin Squares And Their Applications
  • Author : N. Naga Syamala,Balasiddamuni Pagadala,D. Chandra Kesavulu Naidu
  • Publisher : LAP Lambert Academic Publishing
  • Release Date : 2014-01
  • Total pages : 92
  • ISBN : 0444635580
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Summary : In the Present book Chapter - I is an introductory one. It contains the general introduction and statement of the problem of Latin squares. Chapter - II presents the Latin square theory along with the construction of different types of Latin squares. It also gives the description about the layout, ...

Latin Squares and Their Applications Second Edition

Latin Squares and Their Applications  Second Edition
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2021-09-18
  • Total pages : 212
  • ISBN : 0444635580
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Summary : Download or read online Latin Squares and Their Applications Second Edition written by , published by which was released on . Get Latin Squares and Their Applications Second Edition Books now! Available in PDF, ePub and Kindle....

On Structure Preserving Groups of Latin Squares and Their Applications to Statistics

On Structure Preserving Groups of Latin Squares and Their Applications to Statistics
  • Author : Shin-Sun Chow
  • Publisher : Unknown
  • Release Date : 1979
  • Total pages : 112
  • ISBN : 0444635580
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Summary : Download or read online On Structure Preserving Groups of Latin Squares and Their Applications to Statistics written by Shin-Sun Chow, published by which was released on 1979. Get On Structure Preserving Groups of Latin Squares and Their Applications to Statistics Books now! Available in PDF, ePub and Kindle....

Mutually Nearly Orthogonal Latin Squares and Their Applications

Mutually Nearly Orthogonal Latin Squares and Their Applications
  • Author : Elise B. Pasles
  • Publisher : Unknown
  • Release Date : 2004
  • Total pages : 188
  • ISBN : 0444635580
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Summary : Download or read online Mutually Nearly Orthogonal Latin Squares and Their Applications written by Elise B. Pasles, published by which was released on 2004. Get Mutually Nearly Orthogonal Latin Squares and Their Applications Books now! Available in PDF, ePub and Kindle....

Latin Squares and Their Applications to Cryptography

Latin Squares and Their Applications to Cryptography
  • Author : Nathan O. Schmidt
  • Publisher : Unknown
  • Release Date : 2016
  • Total pages : 210
  • ISBN : 0444635580
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Summary : Download or read online Latin Squares and Their Applications to Cryptography written by Nathan O. Schmidt, published by which was released on 2016. Get Latin Squares and Their Applications to Cryptography Books now! Available in PDF, ePub and Kindle....

Orthogonal Latin Squares Based on Groups

Orthogonal Latin Squares Based on Groups
  • Author : Anthony B. Evans
  • Publisher : Springer
  • Release Date : 2018-08-17
  • Total pages : 537
  • ISBN : 0444635580
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Summary : 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, ...

Latin Square Design and Their Applications

Latin Square Design and Their Applications
  • Author : G. Mokesh Rayalu,J. Ravi Sankar,A. Felix
  • Publisher : Unknown
  • Release Date : 2016-12-10
  • Total pages : 72
  • ISBN : 0444635580
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Summary : Download or read online Latin Square Design and Their Applications written by G. Mokesh Rayalu,J. Ravi Sankar,A. Felix, published by which was released on 2016-12-10. Get Latin Square Design and Their Applications Books now! Available in PDF, ePub and Kindle....

Discrete Mathematics Using Latin Squares

Discrete Mathematics Using Latin Squares
  • Author : Charles F. Laywine,Gary L. Mullen
  • Publisher : John Wiley & Sons
  • Release Date : 1998-09-17
  • Total pages : 305
  • ISBN : 0444635580
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Summary : Over the past two decades, research in the theory of Latin Squares has been growing at a fast pace, and new significant developments have taken place. This book offers a unique approach to various areas of discrete mathematics through the use of Latin Squares....

Combinatorial Designs and their Applications

Combinatorial Designs and their Applications
  • Author : Kathleen Quinn,Bridget Webb,Chris Rowley,F C Holroyd
  • Publisher : CRC Press
  • Release Date : 1999-01-29
  • Total pages : 160
  • ISBN : 0444635580
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Summary : The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these ...

Bipartite Graphs and Their Applications

Bipartite Graphs and Their Applications
  • Author : Armen S. Asratian,Tristan M. J. Denley,Roland Häggkvist
  • Publisher : Cambridge University Press
  • Release Date : 1998-07-13
  • Total pages : 259
  • ISBN : 0444635580
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Summary : This book treats the fundamental mathematical properties that hold for a family of Gaussian random variables....

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
  • Author : Michiel Hazewinkel
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 506
  • ISBN : 0444635580
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Summary : This ENCYCLOPAEDIA OF MA THEMA TICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes ...

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
  • Author : M. Hazewinkel
  • Publisher : Springer
  • Release Date : 2013-12-01
  • Total pages : 929
  • ISBN : 0444635580
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Summary : Download or read online Encyclopaedia of Mathematics written by M. Hazewinkel, published by Springer which was released on 2013-12-01. Get Encyclopaedia of Mathematics Books now! Available in PDF, ePub and Kindle....