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Modern Sudoku Puzzle And Its Relationship With Latin Squares
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Book Synopsis Combinatorics: Ancient & Modern by : Robin Wilson
Download or read book Combinatorics: Ancient & Modern written by Robin Wilson and published by . This book was released on 2013-06-27 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics is the branch of discrete mathematics that studies (and counts) permutations, combinations, and arrangements of sets of elements. This book constitutes the first book-length survey of the history of combinatorics and uniquely assembles research in the area that would otherwise be inaccessible to the general reader.
Author : Publisher :Om Books International ISBN 13 :9352763033 Total Pages : pages Book Rating :4.3/5 (527 download)
Download or read book written by and published by Om Books International. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Addict's Guide to Everything Sudoku by :
Download or read book The Addict's Guide to Everything Sudoku written by and published by . This book was released on with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Taking Sudoku Seriously by : Jason Rosenhouse
Download or read book Taking Sudoku Seriously written by Jason Rosenhouse and published by Oxford University Press. This book was released on 2012-01-19 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Encyclopedia of Play in Today's Society by : Rodney P. Carlisle
Download or read book Encyclopedia of Play in Today's Society written by Rodney P. Carlisle and published by SAGE. This book was released on 2009-04-02 with total page 1033 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as an Outstanding Academic Title by Choice Magazine, January 2010 The Encyclopedia of Play: A Social History explores the concept of play in history and modern society in the United States and internationally. Its scope encompasses leisure and recreation activities of children as well as adults throughout the ages, from dice games in the Roman empire to video games today. As an academic social history, it includes the perspectives of several curricular disciplines, from sociology to child psychology, from lifestyle history to social epidemiology. This two-volume set will serve as a general, non-technical resource for students in education and human development, health and sports psychology, leisure and recreation studies and kinesiology, history, and other social sciences to understand the importance of play as it has developed globally throughout history and to appreciate the affects of play on child and adult development, particularly on health, creativity, and imagination.
Book Synopsis Latin Squares and Their Applications by : A. Donald Keedwell
Download or read book Latin Squares and Their Applications written by A. Donald Keedwell and published by Elsevier. This book was released on 2015-07-28 with total page 443 pages. Available in PDF, EPUB and Kindle. 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
Book Synopsis The Puzzle Instinct by : Marcel Danesi
Download or read book The Puzzle Instinct written by Marcel Danesi and published by Indiana University Press. This book was released on 2004-02-20 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Humans are the only animals who create and solve puzzles--for the sheer pleasure of it--and there is no obvious genetic reason why we would do this. Marcel Danesi explores the psychology of puzzles and puzzling, with scores of classic examples. His pioneering book is both entertaining and enlightening." --Will Shortz, Crossword Editor, The New York Times "... Puzzle fanatics will enjoy the many riddles, illusions, cryptograms and other mind-benders offered for analysis." --Psychology Today "... a bristlingly clear... always intriguing survey of the history and rationale of puzzles.... A] splendid study...." --Knight Ridder Newspapers
Book Synopsis A Student's Guide to Coding and Information Theory by : Stefan M. Moser
Download or read book A Student's Guide to Coding and Information Theory written by Stefan M. Moser and published by Cambridge University Press. This book was released on 2012-01-26 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-read guide provides a concise introduction to the engineering background of modern communication systems, from mobile phones to data compression and storage. Background mathematics and specific engineering techniques are kept to a minimum so that only a basic knowledge of high-school mathematics is needed to understand the material covered. The authors begin with many practical applications in coding, including the repetition code, the Hamming code and the Huffman code. They then explain the corresponding information theory, from entropy and mutual information to channel capacity and the information transmission theorem. Finally, they provide insights into the connections between coding theory and other fields. Many worked examples are given throughout the book, using practical applications to illustrate theoretical definitions. Exercises are also included, enabling readers to double-check what they have learned and gain glimpses into more advanced topics, making this perfect for anyone who needs a quick introduction to the subject.
Author :Constantinos Koutsojannis Publisher :Springer Science & Business Media ISBN 13 :3540880682 Total Pages :214 pages Book Rating :4.5/5 (48 download)
Book Synopsis Tools and Applications with Artificial Intelligence by : Constantinos Koutsojannis
Download or read book Tools and Applications with Artificial Intelligence written by Constantinos Koutsojannis and published by Springer Science & Business Media. This book was released on 2009-01-17 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the use of Artificial Intelligence (AI) techniques has been greatly increased. The term “intelligence” seems to be a “must” in a large number of European and International project calls. AI Techniques have been used in almost any domain. Application-oriented systems usually incorporate some kind of “intelligence” by using techniques stemming from intelligent search, knowledge representation, machine learning, knowledge discovery, intelligent agents, computational intelligence etc. The Workshop on “Applications with Artificial Intelligence” seeks for quality papers on computer applications that incorporate some kind of AI technique. The objective of the workshop was to bring together scientists, engineers and practitioners, who work on designing or developing applications that use intelligent techniques or work on intelligent techniques and apply them to application domains (like medicine, biology, education etc), to present and discuss their research works and exchange ideas in this book.
Book Synopsis Combinatorics: A Very Short Introduction by : Robin Wilson
Download or read book Combinatorics: A Very Short Introduction written by Robin Wilson and published by Oxford University Press. This book was released on 2016-04-28 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its scope has broadened to include topics such as graph theory, partitions of numbers, block designs, design of codes, and latin squares. In this Very Short Introduction Robin Wilson gives an overview of the field and its applications in mathematics and computer theory, considering problems from the shortest routes covering certain stops to the minimum number of colours needed to colour a map with different colours for neighbouring countries. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Book Synopsis 21 Skills to Solve Sudoku by : Harry Simlon
Download or read book 21 Skills to Solve Sudoku written by Harry Simlon and published by Palmer Higgs Pty Ltd. This book was released on 2011-01-09 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research and Development in Intelligent Systems XXIV by : Max Bramer
Download or read book Research and Development in Intelligent Systems XXIV written by Max Bramer and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: An agent in a multi-agent system (MAS) has to generate plans for its individual goal, but these plans may con?ict with those that are already being scheduled or executed by other agents. It must also be able to complete its planning and resolution of these con?icts within a reasonable time to have an acceptable quality plan. Although we adopt hierarchical planning (HP, for example, see [7, 12]) using the decision-theoretic planning (DTP) approach [6] for ef?cient planning, it is not trivial to apply HPO to MAS. In HP, appropriate (abstract) plans are selected level by level to maximize the utility U (p), where where p is the expected ?nal plan comprising a sequence of primitive actions. However, in the MAS context, con?icts between agents affect the ef?ciency and quality of resulting plans. When a con?ict is found at lower levels, an additional sophisticated process for avoiding it (con?ict resolution) must be invoked and some extra actions (such as waiting for synchronization and detouring) may have to be added to the plan. The con?ict resolution process may become costly or fail. Even a single con?ict, if it is dif?cult to resolve, will result in a plan with considerably lower quality than it otherwise would have. As a result, in multi-agent systems, the second- or third-best plans may result in better overall performance.
Book Synopsis KING KONG SUDOKU: A TRUE BEAST OF A PUZZLE, IN LIVING COLOR! by : Michael Brian Murphy
Download or read book KING KONG SUDOKU: A TRUE BEAST OF A PUZZLE, IN LIVING COLOR! written by Michael Brian Murphy and published by BookLocker.com, Inc.. This book was released on 2022-12-20 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do you REALLY like to play Sudoku puzzles? Are you the type of puzzler who loves the 16×16 and 25×25 grids, and also likes variety Sudokus, but has little interest in “boring” standard 9×9s? Well, great news! Here’s a humongous 100×100 Sudoku, with diagonals, and here’s the best part: This one is in color! No more bothering with those tiny black-and-white grids! With this book, you can go much, much further than that and create a much larger grid size, by cutting pages out and pasting or taping them together to form a 100×100 Sudoku. And what’s more, each of the 100 individual 10×10 squares are subdivided into four 5×5 squares with different colors: red, yellow, green, and blue, along with gray squares indicating the diagonals. The gray squares along the long diagonals each contain the numbers 0 to 99. In addition, each color set has its own 25 different numbers from 0 to 99, which will be consistent throughout the entire grid, which you can deduce via crossing out numbers used on other color squares, using the scratch pads provided. As a result, when you combine any four 5×5 squares with the four different colors – whether those four 5×5 squares be in a 10×10 cage, all aligned in a row, in a column, or even on a long diagonal, as well as each set of “four corners” from the outermost corners of the grid to the centermost, or just in random, disparate places – they will end up containing all of the numbers from 0 to 99. How cool is that!
Book Synopsis Professor Stewart's Incredible Numbers by : Ian Stewart
Download or read book Professor Stewart's Incredible Numbers written by Ian Stewart and published by Basic Books. This book was released on 2015-04-07 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renowned mathematician Ian Stewart uses remarkable (and some unremarkable) numbers to introduce readers to the beauty of mathematics. At its heart, mathematics is about numbers, our fundamental tools for understanding the world. In Professor Stewart's Incredible Numbers, Ian Stewart offers a delightful introduction to the numbers that surround us, from the common (Pi and 2) to the uncommon but no less consequential (1.059463 and 43,252,003,274,489,856,000). Along the way, Stewart takes us through prime numbers, cubic equations, the concept of zero, the possible positions on the Rubik's Cube, the role of numbers in human history, and beyond! An unfailingly genial guide, Stewart brings his characteristic wit and erudition to bear on these incredible numbers, offering an engaging primer on the principles and power of math.
Download or read book Figuring It Out written by Nuno Crato and published by Springer Science & Business Media. This book was released on 2010-10-19 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book of mathematical stories — funny and puzzling mathematical stories. They tell of villains who try to steal secrets, heroes who encode their messages, and mathematicians who spend years on end searching for the best way to pile oranges. There are also stories about highway confusions occurring when the rules of Cartesian geometry are ignored, small-change errors due to ignorance of ancient paradoxes, and mistakes in calendars arising from poor numerical approximations. This book is about the power and beauty of mathematics. It shows mathematics in action, explained in a way that everybody can understand. It is a book for enticing youngsters and inspiring teachers. Nuno Crato is a leading science writer and mathematician, whose entertaining essays have won a number of international awards.
Book Synopsis The Total Brain Workout by : Marcel Danesi
Download or read book The Total Brain Workout written by Marcel Danesi and published by Harlequin. This book was released on 2009-03-01 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have fun and flex your mental muscle with brainteasers, word searches, cryptograms, optical illusions, sudoku, frameworks, logic puzzles, trivia and more. Did you know that different parts of your brain control different functions, and that with exercise, you can make each part of your brain stronger? In The Total Brain Workout you’ll find 450 fun, challenging and absorbing puzzles designed to specifically target the core parts of your brain that control language, logic, memory, reasoning and visual perception. Each set of puzzles ranges from easy to challenging, and is presented with information on the area of your brain being targeted and the functions it controls, so you can customize your own workout to the specific areas you want to improve.
Download or read book Sudoku X written by Christopher Monckton and published by Justin, Charles & Co.. This book was released on 2005-10-25 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sudoku is the new number puzzle craze sweeping the nation, and Sudoku X is the only puzzle collection to add diagonal play to the Sudoku formula.
