Modern Sudoku Puzzle And Its Relationship With Latin Squares
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Modern Sudoku Puzzle And Its Relationship With Latin Squares
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Author : (Billy) Hoa Q. Lam
language : en
Publisher:
Release Date : 2009
Modern Sudoku Puzzle And Its Relationship With Latin Squares written by (Billy) Hoa Q. Lam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Equivalence relations (Set theory) categories.
Combinatorics Ancient Modern
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Author : Robin Wilson
language : en
Publisher: OUP Oxford
Release Date : 2013-06-27
Combinatorics Ancient Modern written by Robin Wilson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-27 with Mathematics categories.
Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been largely overlooked. This book goes some way to redress this and serves two main purposes: 1) it constitutes the first book-length survey of the history of combinatorics; and 2) it assembles, for the first time in a single source, researches on the history of combinatorics that would otherwise be inaccessible to the general reader. Individual chapters have been contributed by sixteen experts. The book opens with an introduction by Donald E. Knuth to two thousand years of combinatorics. This is followed by seven chapters on early combinatorics, leading from Indian and Chinese writings on permutations to late-Renaissance publications on the arithmetical triangle. The next seven chapters trace the subsequent story, from Euler's contributions to such wide-ranging topics as partitions, polyhedra, and latin squares to the 20th century advances in combinatorial set theory, enumeration, and graph theory. The book concludes with some combinatorial reflections by the distinguished combinatorialist, Peter J. Cameron. This book is not expected to be read from cover to cover, although it can be. Rather, it aims to serve as a valuable resource to a variety of audiences. Combinatorialists with little or no knowledge about the development of their subject will find the historical treatment stimulating. A historian of mathematics will view its assorted surveys as an encouragement for further research in combinatorics. The more general reader will discover an introduction to a fascinating and too little known subject that continues to stimulate and inspire the work of scholars today.
Latin Squares And Their Applications
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Author : A. Donald Keedwell
language : en
Publisher: Elsevier
Release Date : 2015-07-28
Latin Squares And Their Applications written by A. Donald Keedwell and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-28 with Mathematics categories.
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
Taking Sudoku Seriously
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Author : Jason Rosenhouse
language : en
Publisher: Oxford University Press
Release Date : 2012-01-19
Taking Sudoku Seriously written by Jason Rosenhouse and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-19 with Mathematics categories.
Packed with more than a hundred color illustrations and a wide variety of puzzles and brainteasers, Taking Sudoku Seriously uses this popular craze as the starting point for a fun-filled introduction to higher mathematics. How many Sudoku solution squares are there? What shapes other than three-by-three blocks can serve as acceptable Sudoku regions? What is the fewest number of starting clues a sound Sudoku puzzle can have? Does solving Sudoku require mathematics? Jason Rosenhouse and Laura Taalman show that answering these questions opens the door to a wealth of interesting mathematics. Indeed, they show that Sudoku puzzles and their variants are a gateway into mathematical thinking generally. Among many topics, the authors look at the notion of a Latin square--an object of long-standing interest to mathematicians--of which Sudoku squares are a special case; discuss how one finds interesting Sudoku puzzles; explore the connections between Sudoku, graph theory, and polynomials; and consider Sudoku extremes, including puzzles with the maximal number of vacant regions, with the minimal number of starting clues, and numerous others. The book concludes with a gallery of novel Sudoku variations--just pure solving fun! Most of the puzzles are original to this volume, and all solutions to the puzzles appear in the back of the book or in the text itself. A math book and a puzzle book, Taking Sudoku Seriously will change the way readers look at Sudoku and mathematics, serving both as an introduction to mathematics for puzzle fans and as an exploration of the intricacies of Sudoku for mathematics buffs.
Latin Square Puzzles
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Author : iSolvePuzzles
language : en
Publisher:
Release Date : 2019-05
Latin Square Puzzles written by iSolvePuzzles and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05 with categories.
The latest craze in SuDoKu! Latin Square Puzzles are the latest craze in SuDoKu. Every row and column must contain the letters A-E. This book contains 100 new, never before published, puzzles. Beware, these puzzles are highly addictive! Looking for free puzzles? Our puzzles are always freely printable at isolvepuzzles.com/print from our database of over 100 trillion puzzles.
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Author :
language : en
Publisher: Om Books International
Release Date :
written by and has been published by Om Books International this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Latin Squares
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Author : Christopher S. Cary
language : en
Publisher:
Release Date : 2013
Latin Squares written by Christopher S. Cary and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Magic squares categories.
The Addict S Guide To Everything Sudoku
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Author :
language : en
Publisher:
Release Date :
The Addict S Guide To Everything Sudoku written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Group Based Sudoku Pair Latin Squares
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Author : William Jacob Decapua
language : en
Publisher:
Release Date : 2021
Group Based Sudoku Pair Latin Squares written by William Jacob Decapua and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Magic squares categories.
Let a and b be positive integers, an (a; b)sudoku-pair Latin square is a Latin square of order ab with an additional property that there is no repetition of symbols in any canonical a b and b a tiling region. It is currently unknown whether a sudoku-pair Latin square exists for every pair of integers a and b. In this thesis I provide two group-theoretic construction methods to help us get closer to solving this open problem. This also allows us to create many concrete examples. One construction will produce sudoku-pair Latin squares of order ab when ajb. The second construction will produce, under a few constraints, sudoku-pair Latin squares when a and b are relatively prime. In order to accomplish this latter task, a new idea called the gnomon condition is presented, which is a tool that gives the ability to confirm a valid sudoku-pair Latin square without needing to check the entire grid.
Before Sudoku
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Author : Seymour S. Block
language : en
Publisher: Oxford University Press, USA
Release Date : 2009
Before Sudoku written by Seymour S. Block and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Games & Activities categories.
Fans of sudoku may not know that the game is a recent offshoot of the venerable Magic Square, which dates back more than 4,000 years to ancient China. This book provides a delightful account of the mind-boggling variety possible with magical squares.