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Magic tricks --- Card tricks

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"Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more"--

Card tricks --- Playing cards --- Tricks --- Mathematics. --- Mathematics

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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 exploring puzzles and brainteasers, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics. Contributors to the book show how sophisticated mathematics can help construct mazes that look like famous people, how the analysis of crossword puzzles has much in common with understanding epidemics, and how the theory of electrical circuits is useful in understanding the classic Towers of Hanoi puzzle. The card game SET is related to the theory of error-correcting codes, and simple tic-tac-toe takes on a new life when played on an affine plane. Inspirations for the book's wealth of problems include board games, card tricks, fake coins, flexagons, pencil puzzles, poker, and so much more. Looking at a plethora of eclectic games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

Mathematical recreations. --- Mathematical recreations --- Research. --- Mathematical puzzles --- Number games --- Recreational mathematics --- Recreations, Mathematical --- Puzzles --- Scientific recreations --- Games in mathematics education --- Magic squares --- Magic tricks in mathematics education --- Mathematics. --- Mathematic --- Amazing Asteroid. --- Atoll. --- Begird. --- Bernstein's Bijection. --- Chromatic Combat. --- Cookie Monster number. --- Cookie Monster. --- Devious Dice. --- Eluding Execution. --- EndGame. --- Fibonacci sequence. --- Flipping Fun. --- Flush. --- Full House. --- Get the Giraffe. --- Gilbreath numbers. --- Gilbreath permutations. --- Graeco-Latin squares. --- Hamming weight. --- Heartless Poker. --- Hex. --- Knop's puzzle. --- Leonhard Euler. --- Norman Gilbreath. --- SET. --- Sperner's Lemma. --- Straight. --- Super-n-nacci sequence. --- The Game of Y. --- The New York Times. --- Tower of Hanoi. --- Traveling Salesman Problem. --- Tribonacci sequence. --- Zeckendorf representation. --- advanced mathematics. --- affine plane. --- affine planes. --- algorithms. --- baseball. --- card effects. --- card games. --- card moves. --- card tricks. --- chess. --- coding theory. --- coin-weighing puzzles. --- connection games. --- continued fractions. --- cookies. --- coupling. --- crossword networks. --- crossword puzzle difficulty. --- crossword puzzles. --- decomposition. --- delta-to-wye transformation. --- dissection puzzles. --- divination puzzles. --- dualism. --- electrical power distribution. --- epidemics. --- error correction. --- error detection. --- error-correcting codes. --- find-and-label problem. --- flexagons. --- folding puzzles. --- game-theoretic perspective. --- generalizations. --- generator assignment. --- graphical objects. --- group structures. --- ice cream trick. --- infinite families. --- iterative stochastic process. --- just-find problem. --- linear code. --- magic tricks. --- mathematical exhibits. --- mathematical puzzles. --- maze design. --- mazes. --- minimum spanning tree. --- multiple-pans problem. --- museums. --- n-nacci sequence. --- network properties. --- network structure. --- one-move puzzles. --- packing puzzles. --- parallel scales. --- parallel weighing problem. --- period-four move. --- period-four principles. --- phyllotactic mazes. --- playing cards. --- poker. --- probability. --- random graph process. --- random moves. --- random walks. --- rearrangement puzzles. --- recreational mathematics. --- recreational problems. --- seeded stippling. --- simple objects. --- simplex. --- squash. --- surreal numbers. --- symmetries. --- tetraflexagons. --- tic-tac-toe. --- unique solutions. --- vortex tiles. --- weighing puzzles. --- winning strategies.