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The Mathematics of Various Entertaining Subjects

Research in Games, Graphs, Counting, and Complexity, Volume 2

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 filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects now returns with a brand-new compilation of fascinating problems and solutions in recreational mathematics.

This latest volume gathers together the top experts in recreational math and presents a compelling look at board games, card games, dice, toys, computer games, and much more. The book is divided into five parts: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. Readers will discover what origami, roulette wheels, and even the game of Trouble can teach about math. Essays contain new results, and the contributors include short expositions on their topic’s background, providing a framework for understanding the relationship between serious mathematics and recreational games. Mathematical areas explored include combinatorics, logic, graph theory, linear algebra, geometry, topology, computer science, operations research, probability, game theory, and music theory.

Investigating an eclectic mix of games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

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Schlagwörter

Computational problem, Parity (mathematics), Recreational mathematics, Complexity class, Logic, Algorithm, Polynomial, Computation, Projective plane, Logical reasoning, Classical logic, Analytic number theory, Time complexity, Significant figures, Calculation, Circumscribed circle, Truth value, Result, Nontransitive dice, Applied mathematics, Corner solution, Computers and Intractability, Probability, Mathematical induction, Diagram (category theory), Computational complexity theory, Computational resource, Mathematical logic, Mathematics, NP-hardness, Line (geometry), Conjecture, Three-valued logic, Mathematical proof, Theorem, Approximation, Mathematician, Number theory, Logical connective, Linear programming relaxation, Dynamic programming, Approximation algorithm, Computer scientist, Variable (mathematics), Popular mathematics, Instance (computer science), Sign (mathematics), Discrete mathematics, Quantity, Theoretical computer science, Variable (computer science), Automaton, Eigenvalues and eigenvectors, Polyhedron, Mathematical optimization, Fair coin, Summation, Logical disjunction, Open problem, Nemmers Prize in Mathematics, Optimization problem, Solver, Complete graph, Magic square, NP-completeness, Crossing number (graph theory), Subset, Restriction (mathematics), Geometry, PSPACE-complete