Latin Squares and Their Applications

This book PDF is perfect for those who love Mathematics genre, written by A. Donald Keedwell and published by Elsevier which was released on 28 July 2015 with total hardcover pages 443. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Latin Squares and Their Applications books below.

Latin Squares and Their Applications
Author : A. Donald Keedwell
File Size : 44,8 Mb
Publisher : Elsevier
Language : English
Release Date : 28 July 2015
ISBN : 9780444635587
Pages : 443 pages
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Latin Squares and Their Applications by A. Donald Keedwell Book PDF 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 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, 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

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Latin 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

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Latin Squares and Their Applications

Download or read online Latin Squares and Their Applications written by József Dénes,A. D. Keedwell, published by Unknown which was released on 1974. Get Latin Squares and Their Applications Books now! Available in PDF, ePub and Kindle.

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Latin Squares and Their Applications  Second Edition

Download or read online Latin Squares and Their Applications Second Edition written by Anonim, published by Unknown which was released on . Get Latin Squares and Their Applications Second Edition Books now! Available in PDF, ePub and Kindle.

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Some Aspects Of Latin Squares And Their Applications

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,

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Discrete Mathematics Using Latin Squares

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.

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Orthogonal 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,

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

Download or read online On Structure Preserving Groups of Latin Squares and Their Applications to Statistics written by Shin-Sun Chow, published by Unknown 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.

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