The Mathematics of Various Entertaining Subjects (eBook)

Research in Recreational Math

Jennifer Beineke, Jason Rosenhouse (Herausgeber)

eBook Download: PDF | EPUB

2015
288 Seiten
Princeton University Press (Verlag)
978-1-4008-8133-8 (ISBN)

Infos

Jennifer Beineke is professor of mathematics at Western New England University. Jason Rosenhouse is professor of mathematics at James Madison University. He is the author of The Monty Hall Problem and the coauthor of Taking Sudoku Seriously.

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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.

Produkt-Details

• Erscheint lt. Verlag: 29.12.2015
• Vorwort: Raymond M. Smullyan
• Zusatzinfo: 50 color illus. 20 halftones. 80 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Sachbuch/Ratgeber ► Freizeit / Hobby ► Spielen / Raten
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Mathematische Spiele und Unterhaltung
• Themenwelt: Naturwissenschaften
• Schlagworte: acronym • Addition • advanced mathematics • affine plane • affine planes • algebraic graph theory • algorithm • algorithms • Amazing Asteroid • Analytic number theory • arithmetic • Atoll • Baseball • Begird • Bernstein's Bijection • Big O notation • bijection • Binary number • bipartite graph • bisection • Blaise Pascal • Calculation • card effects • Card Games • card moves • card tricks • checkerboard • Chess • Chromatic Combat • clockwise • coding theory • Coin problem • coin-weighing puzzles • combination • combinatorics • connection games • continued fraction • Continued fractions • Conway puzzle • Cookie Monster • Cookie Monster number • Cookies • coupling • crossword • crossword networks • crossword puzzle difficulty • Crossword puzzles • cryptic crossword • cryptography • Dartmouth College • Decomposition • delta-to-wye transformation • Devious Dice • Diagram (category theory) • Dissection puzzle • dissection puzzles • divination puzzles • Doctor of Philosophy • Dual graph • Dualism • Eduourd Zeckendorf • electrical power distribution • Eluding Execution • Endgame • Epidemics • Equation • Error-correcting codes • error correction • error detection • Fibonacci • Fibonacci coding • Fibonacci humber • Fibonacci Number • fibonacci sequence • Fibonacci variants • find-and-label problem • finite Geometry • Flexagon • flexagons • Flipping Fun • Flush • folding puzzles • Full House • game-theoretic perspective • generalizations • generator assignment • Get the Giraffe • Gilbreath numbers • Gilbreath permutations • Graeco-Latin squares • graph coloring • graphical objects • graph theory • group structures • Hamming weight • Heartless Poker • Hex • ice cream trick • Inequality (mathematics) • infinite families • In situ • Integer • Iteration • iterative stochastic process • James Madison University • Jason Rosenhouse • john horton conway • just-find problem • Kansas State University • knights and knaves • Knop's puzzle • Kruskal's Algorithm • Lafayette College • latin square • lecturer • Leonhard Euler • linear code • Magic tricks • martin gardner • Massachusetts Institute of Technology • Matching (graph theory) • mathematical exhibits • Mathematical Induction • Mathematical Puzzles • mathematician • Mathematics • maze design • Mazes • minimum spanning tree • More Card • multiple-pans problem • Museums • Natural number • natural numbers • network properties • Network Structure • n-nacci sequence • Norman Gilbreath • Number Theory • Oberlin College • one-move puzzles • Oxford University Press • packing puzzles • parallel scales • parallel weighing problem • period-four move • period-four principles • Permutation • phyllotactic mazes • Phyllotaxis • Playing Cards • Poker • Prediction • Probability • Probability Theory • Professor • Proportionality (mathematics) • Quantity • random graph process • random moves • Random Number • Random regular graph • random walks • Ranking (information retrieval) • Rational number • real number • rearrangement puzzles • Recreational Mathematics • recreational problems • Regular Expression • result • Riemann zeta function • scientific notation • seeded stippling • SET • simple objects • Simplex • SlothouberЇraatsmaЃonway puzzle • small number • solver • Special case • spelman college • Sperner's Lemma • Squash • standard deviation • Statistic • stippling • straight • Subset • Summation • Super-n-nacci sequence • Supply (economics) • Surreal numbers • Symmetries • tetraflexagons • The College Mathematics Journal • The Game of Y • The New York Times • Theorem • Tic-Tac-Toe • Tower of Hanoi • traditional binary • Traveling Salesman Problem • Tribonacci sequence • undergraduate degree • undergraduate education • unique solutions • Unit interval • vortex tiles • weighing puzzles • weight • winning strategies • Without loss of generality • Zeckendorf form • Zeckendorf representation
• ISBN-10: 1-4008-8133-1 / 1400881331
• ISBN-13: 978-1-4008-8133-8 / 9781400881338