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The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions included.
Bizarre imagination, originality, trickiness, and whimsy characterize puzzles of Sam Loyd, America's greatest puzzler. Present selection from fabulously rare Cyclopedia includes the famous 14-15 puzzles, the Horse of a Different Color, and 115 others in various areas of elementary math. 150 period line drawings.
Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem. Features A collection of the world’s best mathematical puzzles Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.
Intriguing collection features recreational math, logic, and creativity puzzles. Classic and new puzzles include The Monty Hall Problem, The Unexpected Hanging, The Shakespeare Puzzles, and Finger Multiplication.
Second collection of amusing, thought-provoking problems and puzzles from the "Cyclopedia." Arithmetic, algebra, speed and distance problems, game theory, counter and sliding block problems, similar topics. 166 problems. 150 original drawings, diagrams.
Bicycle or Unicycle? is a collection of 105 mathematical puzzles whose defining characteristic is the surprise encountered in their solutions. Solvers will be surprised, even occasionally shocked, at those solutions. The problems unfold into levels of depth and generality very unusual in the types of problems seen in contests. In contrast to contest problems, these are problems meant to be savored; many solutions, all beautifully explained, lead to unanswered research questions. At the same time, the mathematics necessary to understand the problems and their solutions is all at the undergraduate level. The puzzles will, nonetheless, appeal to professionals as well as to students and, in fact, to anyone who finds delight in an unexpected discovery. These problems were selected from the Macalester College Problem of the Week archive. The Macalester tradition of a weekly problem was started by Joseph Konhauser in 1968. In 1993 Stan Wagon assumed problem-generating duties. A previous book written by Wagon, Konhauser, and Dan Velleman, Which Way Did the Bicycle Go?, gathered problems from the first twenty-five years of the archive. The title problem in that collection was inspired by an error in logic made by Sherlock Holmes, who attempted to determine the direction of a bicycle from the tracks of its wheels. Here the title problem asks whether a bicycle track can always be distinguished from a unicycle track. You'll be surprised by the answer.
Population Explosion and Other Mathematical Puzzles is a wonderful addition to Dr Dick Hess's previous successful books, Mental Gymnastics: Recreational Mathematical Puzzles, Golf on the Moon, (Dover Publishing, 2011 and 2014 respectively) and Number-Crunching Math Puzzles (Puzzlewright, 2013), a republication of All-Star Mathlete Puzzles (Sterling Publishing, 2009). In this latest volume, there are 116 recreational mathematical puzzles and problems that will challenge and entertain bright minds. They are mostly new problems on creative themes, encompassing a wide range of difficulty from amusing to complex. Intended to hone mathematical thinking skills and reasoning ability, solving the puzzles may require considerable perseverance.Open this book to find a captivating assortment of geometric, digital, logical, probability, analytical, physics and trapezoid puzzles. Find out what happens with jeeps in the desert and be amused or confused by some MathDice puzzles.While most of these puzzles can be solved by pencil and paper analysis, there are some that are best tackled with a computer to find a solution. Be prepared to keep your wits about you!
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This volume, originally published in 1961, contains columns published in the magazine from 1958-1960. This is the 1987 edition of the collection and contains an afterword written by Gardner at that time.