Details for: Benjamin A. Math and Magic 2018

Benjamin A. Math and Magic 2018

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2019-09-01

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Textbook in PDF format In Math and Magic, Professor Benjamin introduces you to magic, using tools like playing cards, numbers, and geometric figures. For each trick, he first runs through a demonstration. Then, he pulls back the curtain to show how the trick is done, explaining in detail the mathematical ideas underpinning the illusion. In this way, you learn such fundamentals of the magician’s art as: Parity principle: Promoted by magician Bob Hummer, this idea has inspired a series of tricks in which the cards are treated in pairs according to a systematic procedure. Although the cards seem to be fairly mixed, an inherent order is preserved that, when revealed, astounds spectators. Faro shuffle: Devised as a way to beat the popular 19th-century card game faro, this bit of trickery is also known as the perfect shuffle, in which cards from two equal halves of a deck are interlaced perfectly. A sequence of such shuffles can bring the top card to any desired position, creating a truly magical effect. Lightning calculations: Dr. Benjamin is famous for his ability to solve problems in his head, often faster than someone punching numbers into a calculator. Naturally, he uses shortcuts, many of which are quite simple. For example, in this course you learn an easy method for determining cube roots that will make you look like a mathematical genius. Magic squares: Popular for centuries, magic squares are grids of numbers where each row, column, and diagonal adds up to the same number. It might seem that only a few solutions are possible for a given grid, but that’s usually not true. You can impress your audience by building a magic square based on any number, or even based on someone’s birthday. Astonish and Delight Your Friends Throughout the lessons, Professor Benjamin teaches you how to astonish and delight your friends, family, and even yourself. In a bit of kitchen magic, he shows how to cut a bagel into two interlocking halves—a two-twist version of a Möbius strip. Among its advantages, this intriguing shape has a greater surface area than an ordinary sliced bagel and therefore holds more cream cheese! Magic has held humans spellbound for a very long time. A few centuries ago, even simple card tricks like those in this course could have prompted accusations of witchcraft—with the result being persecution or even death. Fortunately, with Math and Magic, you don’t have that worry. Your only problem will be tearing yourself away from these “bewitching” lessons

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