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E-mail deze pagina. Auteur: Arthur Benjamin. Using a delightful assortment of examplesfrom ice-cream scoops and poker hands to measuring mountains and making magic squaresthis book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks.
A positively joyful exploration of mathematics. Toon meer Toon minder. Recensie s Arthur Benjamin shows you that numbers do more than just keep track of things and solve problems. He joyfully shows you how to make nature's numbers dance. Let his book be your partner for a lifetime of learning.
Even though it includes, gasp, equations. This is an absolute gem of a book.
It contains something of interest for everyone, and the author's lively style and obvious affection for the subject makes this a book to keep, reread, and share. The writing style is inviting, and the book is filled with fun examples. Readers can easily jump around and choose from the wide variety of topics or read straight through. Benjamin approaches all of these subjects with the goal of emphasizing the wonder and magic inherent in them, while still giving the reader a sense of the mathematics hiding of the magicians sleeve The book offers a dizzying array of mathematical delights.
But here, once the mathemagician has finished his sleight-of-hand, we have the luxury of peeking behind the curtain to understand how all those tricks are done.
Benjamin's writing is very readable and entertaining: his numbers dance. Like [Martin] Gardner, Benjamin telegraphs a joy in surprising mathematical stunts I recommend this book for the math enthusiast embarking on his or her university career, the high school adept in your life intrigued by math yet bored in class, or someone remembering fondly math as their favorite subject yet lacking time to enroll in courses now. The Magic of Math is a good model for instructional material. It delivers material on a complex nature in a manner that most people will be able to understand, and you get some magic tricks and humor thrown in for the bargain.
You will enjoy this book, you can count on that.
Of course, self-motivated individuals interested in mathematics will enjoy the book too. It would be a good resource for mathematics teachers seeking some additional spice for their presentations. The book is well written; graphics are particularly clear; physical format is excellent. This solid reference for teachers seeking interesting classroom examples and jokes could easily lure a student into further studies in mathematics. Benjamin delivers a primer generously filled with insights and intuitions that make math approachable, interesting, and, yes, beautiful.
Whether figuring out compound interest, using trigonometry to determine the height of a tree, or employing calculus to work out a shortest possible walking route, each topic is presented in the clearest, simplest way possible Parents should get this book for their children It's that good. And important. Read it. This is a fun, fast-paced magic show of the greatest treasures of pre-college math, from poker hands to Pascal's triangle, all revealed with the flair of a showman and the clarity of a master teacher. The Magic of Math will leave you smiling, awestruck, and begging for an encore.
The book provides problems that are accessible to everyone. Teachers will find many ideas to motivate students and to provide an extra challenge for those who are already into math. The magic of mathematics comes from that exciting 'aha' moment when you suddenly get what's going on. Arthur Benjamin entertainingly provides readers with an all-access backstage pass to the magical world of mathematics. Eight are pulled out and somebody—probably not him—does the addition. It helps but it not necessary the magician to be able to add rapidly.
This is a skill that can be mastered easily. The second is a force. Here, the picking is not genuine, despite appearances. There are literally hundreds of ways, with new ones invented monthly, whereby a magician can make it seem that you have a free choice where in reality the outcome is predetermined. Sort of like how neurologists view all of human behavior. He would only have to force enough of them to cause the final solution to belong to a small set a dozen or less of possible sums.
A miracle! The third is mathematical. That is, the 4-digit numbers on the slips are designed such that picking eight of them force a predetermined single sum of There cannot be 10, slips with all the 4-digit numbers , , ,…, , because, of course, by chance you could end up with the sum the lowest possible or the highest possible.
So the bowl must be loaded with slips such that the sum is fixed. This works mathematically, but it makes for a poor performance. You can get away with it only by walking to 8 different, widely separated audience members, have them silently pick a number, then have them add it to the sum shown on, say, a calculator.
So I leave it for a homework problem for everybody. Does a set of N different 4-digit numbers exist such that pulling 8 out of N leads to a sum of every time? View all posts by Briggs. Think about the state of affairs after drawing 7 numbers: there is only one number that can be added to the sum of the 7 to total Therefore, the last draw must depend on the previous 7. There would have to be some mechanism for representing the state of the system and constraining the choice of the final number.
Therefore, the 2 numbers must be the same, which contradicts our requirement that the 9 numbers be distinct. Watched a program on paranormal debunking where the host had 8 I think different people give him a number. He predicted the sum in advance. Each had a card in their possession which when they turned over had the number they had given.
It was interesting because after the fact he showed flashbacks of the points where he had said these things, and in retrospect, in isolation they were blindingly obvious. I think that the best example of Derren leading people in their choices of what to say or do was with the blind athlete asked to describe a past event.
Derren had written down fake details of the event and got the guy to reproduce these details as he recounted the event. You can rule out what the participant saw in this case so you have the full trick in audio. It is worth noting that Derren usually filters his participants down to the most easily led bad liars to get the best results and you only see the successes on TV.
In every set of 8 numbers, replacing one of the 8 with a number not in the set gives a sum different from that of the original set.