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The Mathematics of Various Entertaining Subjects

Volume 3: The Magic of Mathematics

Jason Rosenhouse (Hrsg.), Jennifer Beineke (Hrsg.)

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

The history of mathematics is replete with examples of major breakthroughs resulting from solutions to recreational problems. The modern theory of probability arose out of problems of concern to gamblers, for example, and modern combinatorics grew out of various games and puzzles. Despite this track record and a wealth of popular-level books, there remain few conduits for research in recreational mathematics. The Mathematics of Various Entertaining Subjects now returns with an all-new third volume, presenting new research in diverse areas of recreational mathematics.

This volume focuses on four areas: puzzles and brainteasers, games, algebra and number theory, and geometry and topology. Readers will create Spiral Galaxies, Japanese symmetric grid puzzles consisting of squares and circles whose solutions are letters and numbers; delve into a paradox in the game of Bingo; examine the card tricks of mathematician-philosopher Charles Sanders Peirce; learn about the mathematics behind Legos; and much more.

Elucidating the many connections between mathematics and games, The Mathematics of Various Entertaining Subjects is sure to challenge and inspire mathematicians and math enthusiasts.

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Schlagwörter

NP-hardness, Dynamic programming, Elementary proof, Significant figures, NP-completeness, Mathematical induction, Probability, Lucky number, Potential game, On Numbers and Games, Analytic number theory, Result, Computation, Mathematical problem, Calculation, Combinatorial proof, Interval (mathematics), Magic square, Algebraic geometry, Arithmetic, Popular mathematics, Translational symmetry, Mental calculation, Pure mathematics, Mathematics, Binary tree, Mathematical notation, Computational geometry, Discrete mathematics, Geometry, Scientific notation, Train track (mathematics), Algorithm, Applied mathematics, Fair coin, Permutation, Open problem, Complex number, Summation, The College Mathematics Journal, Computational problem, Flexagon, Mathematical analysis, Theorem, Mathematical Association, Geometry and topology, Inequality (mathematics), Mathematical structure, Set (mathematics), Mathematical logic, Latin square, Coprime integers, Arithmetic mean, Prime number, Fermat's little theorem, Computational complexity theory, Variable (mathematics), Recreational mathematics, Mathematician, Equiprobability, Parity (mathematics), Instance (computer science), Sign (mathematics), Optimization problem, Mathematical optimization, Mathematical proof, Expected value, Abstract algebra, Number theory, Friendly number