Mathematics and Chess PDF Download

Author: John J. Watkins
Publisher: Princeton University Press
ISBN: 1400840929
Category : Mathematics
Languages : en
Pages : 270

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Book Description
Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that covers every square once, ending on the starting square? How many queens are needed so that every square is targeted or occupied by one of the queens? Each main topic is treated in depth from its historical conception through to its status today. Many beautiful solutions have emerged for basic chessboard problems since mathematicians first began working on them in earnest over three centuries ago, but such problems, including those involving polyominoes, have now been extended to three-dimensional chessboards and even chessboards on unusual surfaces such as toruses (the equivalent of playing chess on a doughnut) and cylinders. Using the highly visual language of graph theory, Watkins gently guides the reader to the forefront of current research in mathematics. By solving some of the many exercises sprinkled throughout, the reader can share fully in the excitement of discovery. Showing that chess puzzles are the starting point for important mathematical ideas that have resonated for centuries, Across the Board will captivate students and instructors, mathematicians, chess enthusiasts, and puzzle devotees.

Author: Miodrag Petkovi?
Publisher: Courier Corporation
ISBN: 9780486294322
Category : Mathematics
Languages : en
Pages : 164

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Book Description
99 puzzles built around the chessboard. Arithmetical and probability problems, chessboard recreations, geometrical puzzles, mathematical amusements and games, more. Solutions.

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486482014
Category : Mathematics
Languages : en
Pages : 194

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Book Description
Join Holmes and Watson as they examine interrupted games to deduce prior moves. A series of increasingly complex chess mysteries culminates in a double murder perpetrated by Professor Moriarty. The master sleuth instructs his companion (and us) in the intricacies of retrograde analysis; readers need only a knowledge of how the pieces move.

Author: Ramón Miguel Lorente Pupo
Publisher: Chess4math.LLC
ISBN: 9780999754801
Category : Education
Languages : en
Pages : 210

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Book Description
Chess 4 Math, kindergarten textbook is the beginning of an incredible journey that offers the opportunity to kindergarteners to learn Mathematics through the "Royal Game of Chess." Chess 4 Math provides quality educational activities designed to help students succeed in Mathematics. The author translates the game of Chess into Mathematical lessons correlated to the Common Core State Standards. Chess 4 Math is an original and engaging curriulum that encourages all students to love Math and Chess.

Author: Dr. George Ho
Publisher: Xlibris Corporation
ISBN: 1984506919
Category : Education
Languages : en
Pages : 69

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Book Description
New Math Chess is a two-player educational and recreational game played on ten Digit pieces (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and six Operator pieces (Addition, Subtraction, Multiplication, Division, Power (Square & Cube), and Root (Square Root & Cube Root)). The book focuses on the explanation and applications of four fundamental concepts governing the feasibility and the success of the book: (i) Attachment of Digits to an Operator, (ii) Partial Values of an Operator, (iii) Partial Equality of two Partial Values of an Operator, (iv) Partial Equality of an Operator with its Partial Values. The book provides 20 chess games with solutions for the readers to practice. New Math Chess is flexible and suitable for all students from middle and high schools to universities.

Author: Dr George Ho
Publisher: Xlibris Corporation
ISBN: 1543401627
Category : Education
Languages : en
Pages : 57

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Book Description
Mathematical chess is a two-player educational and entertaining game played on ten digit pieces (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and six operator pieces (addition, subtraction, multiplication, division, power, and root). The chessboard is a grid made up of nine vertical and nine horizontal lines. It is flexible and suitable for all students from middle and high schools to universities. The excessive use of electronic calculators and games has caused a negative impact on the alertness of the minds and the numerical abilities of students at all levels. Dr Ryan said, In numeracy, the young teenage student in 2003 was approximately a quarter of a grade level behind his or her counterpart in 1964. This was reported in the article Grade Worse Than in 1960s (SMH, 11 February 2008). Students love challenges and competitions. Dr Robert C. Ferguson writes, A learning environment organised around games has a positive effect on students attitudes towards learning (Teachers Guide: Research and Benefits of Chess, 11 October 2006). The above statements drive the implementation of this mathematical chess game. Like European chess and Chinese chess, mathematical chess teaches strategy planning, problem-solving, memory improvement, decision-making, concentration, perseverance, observation, analysis, and organisation skill. Mathematical chess itself also promotes numerical abilities, mental alertness, and speedy calculation. The numeracy performance of students in many countries has not improved since 1960, not because of the incompetence of the teachers, but because an educational game interesting and challenging enough to attract students attention did not exist. Mathematical chess can help resolve this drawback. The authors dream is to see mathematical chess become a popular game in all middle and high schools, and to see the love and passion of mathematics flowering in the minds of young people around the world.

Author: John J. Watkins
Publisher: Princeton University Press
ISBN: 0691154988
Category : Games & Activities
Languages : en
Pages : 271

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Book Description
Discusses the mathematics of the chessboard and its problems, focusing on its history, the knight's tour problem, magic squares, domination, other variations, and independence.

Author: Herman Tolbert Sr.
Publisher: Xlibris Corporation
ISBN: 146536174X
Category : Games & Activities
Languages : en
Pages : 77

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Book Description
Chess enthusiast Herman Tolbert Sr takes three of the four elements of chess (space, time, force) and parallels a one to one mapping that relates Geometry, Physics and Mathematics in a unique theme he terms "Corridors". Compiling over-the-board tournament experience along with online worldwide games as well as friendly pick-up games, Corridors is a repeated process which eventually zones in on the King or significant material which has game winning advantages. This work hopes to demonstrate Mr. Tolberts classroom teaching skills and his keen analytical ability to breakdown the complex into simpler form(s) Corridors is a combination of whole or partial rank(s), file(s) and square(s) which are controlled to a lasting degree which yield advantageous results. Many chess concepts are conveyed by novice to Grandmasters, but this unique work though not for the very beginner can be applied by the many eager-to-improve players; no matter the skill level. It is with this spirit that Mr. Tolbert wishes to share what he feels is a path of enlightenment, whose fruits of labor is a growth in understanding chess which can only lead to more victories.

Author: Kyppo Jorma
Publisher: World Scientific
ISBN: 9813233540
Category : Mathematics
Languages : en
Pages : 344

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Book Description
In this richly illustrated book, Dr Jorma Kyppö explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of the famous Cretan Phaistos Disk. Descriptions of several chess variations, including some highlights of the game theory and tiling in different dimensions, are followed by a multidimensional symmetrical n-person strategy game model, based on chess. Final chapter (Concluding remarks) offers the new generalizations of the Euler-Poincare's Characteristic, Pi and Fibonacci sequence.

Author: Chandru Arni
Publisher: Prowess Publishing
ISBN: 1545753318
Category : Mathematics
Languages : en
Pages : 372

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Book Description
The games presented here are mainly 2-person strategic board games and Solitaire Puzzles, when alone. There is a welcome difference between strategic board games and puzzles. A puzzle has a solution and once you’ve solved it, it is not that interesting any more. A strategy game can be played again and again. Chess, the “King of all Board Games”, is not included here as it forms a subject by itself, but there are a few pre-chess puzzles. Bridge, the “Queen of all Card Games”, is also not included as Card games and Dice games involve a certain element of luck; the games here are not based on chance or probability. Apart from Games and Puzzles, there is a small chapter on Mathematical Excursions. These are explorations of non mathematicians like me into the ways of thinking and understanding patterns that mathematicians visualise and analyse for sheer pleasure without any monetary or practical benefit. How can a chess knight’s move over a chess board be beneficial to anybody? But this exploration has been going on for 2000 years. Also, whereas Pythagoras’ Theorem was of great benefit to society, what will proving Fermat’s Theorem accomplish? For a mathematician, the overriding influence of numbers becomes his aim in life.