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Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks, by Arthur Benjamin Michael Shermer
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Review
“A great introduction to the wonder of numbers, from two superb teachers.” —Brian Greene, author of The Elegant Universe “A magical mystery tour of mental mathematics! Fascinating and fun.” —Joseph Gallian, president of the Mathematical Association of America “The clearest, simplest, most entertaining, and best book yet on the art of calculating in your head.” —Martin Gardner, author of Mathematical Magic Show and Mathematical Carnival “This book can teach you mental math skills that will surprise you and your friends. Better, you will have fun and have valuable practical tools inside your head.” —Dr. Edward O. Thorp, mathematician and author of Beat the Dealer and Beat the Market
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About the Author
Arthur Benjamin is a professor of mathematics at Harvey Mudd College in Claremont, California. He is also a professional magician and performs his mixture of math and magic all over the world. Michael Shermer is host of the Caltech public lecture series, a contributing editor to and monthly columnist of Scientific American, the publisher of Skeptic magazine, and the author of several science books. He lives in Altadena, California.
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Product details
Paperback: 304 pages
Publisher: Three Rivers Press; Later Printing edition (August 8, 2006)
Language: English
ISBN-10: 9780307338402
ISBN-13: 978-0307338402
ASIN: 0307338401
Product Dimensions:
5.2 x 0.7 x 8 inches
Shipping Weight: 1.2 pounds (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
450 customer reviews
Amazon Best Sellers Rank:
#9,761 in Books (See Top 100 in Books)
More than a book of numerical parlour tricks, but less than a satisfying immersion into the world of numbers. Having watched videos of his work, I was very impressed with Benjamin's speed and fluidity with numbers, as most people are. He certainly knows his subject and clearly enjoys it. But I feel he has yet to write a good investigation on the subject. I don't know how Michael Shermer's, whom I respect, added to this, but it certainly wasn't in bringing focus to the work. The first third of this book is gold. Sure, you can find much of it online for free, but it's presented here clearly and in an organized fashion. You'll notice that in a lot of the rave reviews, however, the reviewers mention that they "haven't finished the book, but can't wait to do so." I doubt many of them have, and it's not their faults. The book becomes a slog half way through, especially if, like me, you tend to take copious notes and try to really tackle the book like a course in mental mathematics, which it really isn't but on the surface presents itself as the sort of practical tome that will guide you through a better understanding of number theory and computation. The problem is that the authors get a bit carried away. You expect methods that will simplify mathematics or lay the complex groundwork for mentally calculating numbers with minimal effort in the long run. Or maybe just learn some neat tricks. But Benjamin is the type of mountain guide who gets sidetracked at every bush, shrub, running squirrel, bird sound, river and cave he encounters. For every easy road you set out on, Benjamin exclaims, "but you can also do this!" and dedicates a long chapter to various methods that are simply "the long way around". Yes, it's fascinating how casting out nines and elevens works, but do you really need a long explanation of how it works, mapped out diagrams and exercises, etc? The criss-cross method of multiplication works whether you're doing three, four, five, or ten digits. It's actually convoluted and doesn't exactly fit the title of the book. Imagine a book called "The Secrets of Reading", written ostensibly for the layman who may or may not love reading, devoting an entire chapter to decoding and memorizing backwards acrostics and anagrams in epic poetry written in obscure meters. I said that it's a slog for the serious student, but it must seem interminable for the person with only a light interest in what Benjamin is doing. The fact of the matter is, most of this isn't what Benjamin uses for his "lightning calculation" - it's stuff he happens to find interesting. In fact, I myself found better, simpler, more intuitive methods freely distributed online for many of these operations. Some that surprised me Benjamin didn't touch on. Ultimately his digressions are too much for the casual reader and lack enough real theoretical depth that would satisfy a devout student of mathematics. Imagine a carpenter who could hammer 100 nails in under a minute who then proceeded to show you 20 different methods for hammering in a nail or two at a time while throwing in tidbits about the lives of famous carpenters and carpentry styles throughout history. You'll either want to skip the hundred methods and concentrate on two or three that get the job done, or you'll ask to hear more about the history of carpentry but skip the 100 (often redundant or similar) methods for hammering with household objects. This is definitely a book you'll want to skip around in. Too bad the table of contents isn't obliging.
I'm about half way through the book and can say I've definitely picked up some useful tricks. Be warned, this isn't a passive read where everything will suddenly click and you will be a math whiz. I recommend taking the chapters slowly and making your own exercises to really drive the concepts home. The first few chapters are cumulative, but eventually you are able to jump around and learn what tricks sound most appealing to you. My personal favorite is the ability to memorize strings of numbers. Has a ton of practical use in everyday life. I love being good at arithmetic and this book gives you the tools to get there.
I'm retired and having loads of fun with this book on math. The painful paradox is that I have always liked math but it didn't like me; I struggled with math all my life.I am quintessentially stubborn. Never give up. (Pain is temporary, quitting is forever. ) I have purchased books on Algebra and Geometry; I won't lie to you, my struggle continues. The "Secrets of Mental Math" however is fun AND practical. It should be this much fun for everyone.I read it over once without actually practicing any of the tricks having purchased it on Amazon for my Kindle library. I liked it so much I went to used book stores to find a hard copy. If math and magic intrigues you, you should get this book.
OMG, my son is the math hero in his third grade class. Full of tricks like multiply times eleven - any number. Simply do this... 11 x 35: Take the 3 and the 5 and separate them, add 3+5=8 Put the 8 in between the 3 and 5. 11x35 is 385. Another example 11 x 72, separate the 7 and 2. 7+2 = 9. Put the 9 between the 7 and 2 and 11 x 72 = 792. Presto. Your kid is a math genius. The book is full of these.
I bought this book after watching Dr Benjamin's Great Course on video. I can read many times faster than I can watch someone speak so I thought I might get through the information more efficiently by purchasing the book. I also thought there might be additional exercises. Don't get me wrong, the Video course is fun, enlightening and full of real handy tips for mental math. My main complaint is that each chapter is a separate "secret." I haven't even successfully incorporated the last "secret" into my math and there's another one ? (!) If this is to evolve from spectator sport to real world use I need exercises (with answers in the back of the book) so I can practice, practice and practice. The book, alas, follows pretty much the same format as the lectures. There are a few examples, but not many. Each chapter is a separate (often unrelated to the last) tip. So I didn't get any new or additional information, I just got the same information in a different format. I recommend it over the video format because it is less expensive and because you can go as slow or fast as you like
Actually picked up this book to help with the GRE and just found all the math tricks fun. Only about 1/3 the way through but have already cranked up my mental math speed by at least double. Worth the buy!
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