The Number Devil: A Mathematical Adventure

The Number Devil: A Mathematical Adventure

4.3 19
by Hans Magnus Enzensberger, Rotraut Susanne Berner
     
 

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The international best-seller that makes mathematics a thrilling exploration.

In twelve dreams, Robert, a boy who hates math, meets a Number Devil, who leads him to discover the amazing world of numbers: infinite numbers, prime numbers, Fibonacci numbers, numbers that magically appear in triangles, and numbers that expand without. As we dream with him, we are

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Overview

The international best-seller that makes mathematics a thrilling exploration.

In twelve dreams, Robert, a boy who hates math, meets a Number Devil, who leads him to discover the amazing world of numbers: infinite numbers, prime numbers, Fibonacci numbers, numbers that magically appear in triangles, and numbers that expand without. As we dream with him, we are taken further and further into mathematical theory, where ideas eventually take flight, until everyone - from those who fumble over fractions to those who solve complex equations in their heads - winds up marveling at what numbers can do.

Hans Magnus Enzensberger is a true polymath, the kind of superb intellectual who loves thinking and marshals all of his charm and wit to share his passions with the world. In The Number Devil, he brings together the surreal logic of Alice in Wonderland and the existential geometry of Flatland with the kind of math everyone would love, if only they had a number devil to teach it to them.

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Editorial Reviews

From the Publisher

"Rare and glorious." --Michael Pakenham, Baltimore Sun

"Adults who know a little about math will find this book as enlightening as younger readers will." --Martin Gardner, Los Angeles Times

Baltimore Sun Michael Pakenham

Rare and glorious.
Los Angeles Times Martin Gardner

Adults who know a little about math will find this book as enlightening as younger readers will.
Baltimore Sun
Rare and glorious. - Michael Pakenham
Los Angeles Times
Adults who know a little about math will find this book as enlightening as younger readers will. - Martin Gardner
Publishers Weekly - Publisher's Weekly
In a starred review, PW noted that "exceptionally handsome four-color illustrations and vignettes deepen the magic of this mathematically minded fantasy. For certain kinds of readers--chess players, puzzle enthusiasts--this will be a favorite." Ages 11-up. (May) Copyright 2000 Cahners Business Information.|
VOYA - Julie Hudson
This is such an attractive book that one yearns for it to be a pleasure to read. Flipping through the pages, Berner's brightly colored, clever illustrations jump out (like the devil himself), making the reader stop to view them more carefully. However, NUMBERS jump out as well-numbers in charts, in formulas, on blocks, on walls. Fair or not, YAs who are not in love with the pleasure of math are not going to put up with this book no matter how clever it is (and boy, is it ever!).

Twelve-year-old Robert is annoyed with math taught by a boring teacher who will not allow calculators in class and frankly, the number devil (who appears in Robert's dream), agrees with him. Readers can truly feel the devil's enthusiasm for the subject in the language: "The thing that makes numbers so devilish is precisely that they are simple." The excitement is catching and some credit must be given to translator Heim, who is able to carry over a great deal of humor and sarcasm from the original German text. The number devil takes Robert on a journey of magical math concepts, and just as Dorothy awakens in Kansas, Robert awakens with his mother shaking him, "If you don't get up this very instant you'll be late for school." But Robert gets to keep a souvenir to prove his dream was real-something that helps him keep and use the knowledge he has gained.

A nice "Seek-and-Ye-Shall-Find-List" that is an index of math terms and mathematicians appears in the back, along with a "Warning" page pointing out a few liberties the author has taken and correcting them. Maybe math teachers will identify sparks in students and push this book; librarians will try.

VOYA Codes: 4Q 3P M (Better than most, marred only by occasional lapses, Will appeal with pushing, Middle School-defined as grades 6 to 8). 1998 (orig.

Children's Literature - Mary Sue Preissner
Our shelves are screaming for books that will captivate kids dealing with the subject of mathematics. Sadly, we will wait longer. The Number Devil is a red, horn-eared and pointy-tailed individual who visits Robert in his dreams, attempting to allay Robert's math anxiety by providing him with simple explanations to mathematical problems. Each new chapter reinforces the previous, and builds from there. The book has been printed on quality paper, and Berner's colorful illustrations are delightful to see, in addition to adding to the mathematical explanations. The comprehensive index readily sends the reader to a myriad of mathematical topics. Unfortunately, I don't see kids running to pull this off the shelves, and I can't see teachers using it as a read-aloud.

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Product Details

ISBN-13:
9780805062991
Publisher:
Holt, Henry & Company, Inc.
Publication date:
05/28/2000
Edition description:
First Edition
Pages:
264
Sales rank:
73,912
Product dimensions:
6.10(w) x 9.10(h) x 0.90(d)
Lexile:
580L (what's this?)
Age Range:
11 - 13 Years

Meet the Author

Hans Magnus Enzensberger is the author of many highly lauded books, including Civil Wars: From L.A. to Bosnia. He lives in Munich.

Rotraut Susanne Berner is an illustrator who lives in Heidelberg.

Michael Henry Heim is a prize-winning translator who teaches at UCLA.

Read an Excerpt

In time Robert grew accustomed to dreaming of the number devil. He even came to look forward to it. True, he could have done without his know-it-all attitude and his temper tantrums--you could never tell when he'd blow up and yell at you--but it was better, so much better, than being swallowed by a slimy fish or sliding down and down into a black hole.

Besides, Robert had made up his mind to show the number devil that he was no fool. You have to put people like him in their place, Robert thought as he got ready for bed one night. The big ideas he has about himself--and all because of a zero. He wasn't much more than a zero when you got down to it. All you had to do was wake up and he was gone.

But to put him in his place Robert had to dream of him, and to dream of him he had to fall asleep. And Robert suddenly noticed he was having trouble doing so. For the first time in his life he lay awake in bed, tossing and turning.

"What are you tossing and turning for?"

All at once, Robert realized his bed was in a cave. There were weird paintings of animals on the stone walls, but he had no time to study them because the number devil was standing over him, twirling his walking stick.

"Rise and shine, Robert!" he said. "Today's our division day."

"Must I?" Robert asked. "You might have at least waited until I was asleep. Besides, I hate division.

"Why?"

"When you add or subtract or even multiply, things come out even. What bugs me about division is that you get this remainder."

"The question is when."

"'When what?"

"When you get a remainder and when you don't. That's what counts. You can tell just by looking at them that some numbers can be divided evenly."

"Right. Like even numbers, which can all be divided by two. No problem. I'm pretty good at threes as well:

9 ÷ 3

15 ÷ 3

and so on. It's like multiplying in reverse:

3 x 5 = 15

becomes

15 ÷ 3 = 5

I don't need a number devil for that. I can do it on my own."

Robert shouldn't have said that. The number devil, his mustache quivering, his nose reddening, his head growing bigger and bigger, jerked Robert out of bed.

"What do you know?" the number devil shouted. "Just because you've learned the multiplication table you think you know all there is to know. Well, you know nothing! Nothing whatsoever!"

There he goes again, thought Robert. First he drags me out of bed, then he hits the ceiling when I tell him I can do division.

"Here I come to a rank beginner out of the goodness of my heart, and no sooner do I open my mouth than he starts making wisecracks! "

"The goodness of your heart!" Robert cried. All things being equal, he would have upped and left, but how do you up and leave a dream? He looked all over the cave, but could find no way to leave.

"What are you looking for?"

"A way out."

"If you go now, you'll never see me again! I'll leave you to choke on Mr. Bockel's pretzel problems, or die of boredom in his class."

Robert knew when he was licked.

"I apologize," he said. "I didn't mean to offend you."

"Good," said the number devil, his anger subsiding as quickly as it had come. "Now, nineteen. Try nineteen. See if you can divide it without a remainder."

Robert thought and thought.

"The only way I can come up with," he said at last, "is to divide it by nineteen. Or into nineteen equal parts."

"Doesn't count," the number devil replied. "It's too easy."

"Or divide it by zero."

"Out of the question."

"Out of the question? Why?"

"Because it's forbidden. Dividing by zero is strictly forbidden."

"What if I did it anyway?"

"Then all mathematics would come apart at the seams!"

He was about to lose his temper again, but he managed to pull himself together.

"Tell me," said the number devil, what would you get if you divided nineteen by zero?"

"I don't know. A hundred, maybe. Or zero. Or anything in between."

"But didn't you say when you were talking about the threes that division was like multiplying in reverse? If that's the case, then

3 x 5 = 15

means that

15 ÷ 3 = 5

Well, now try that with nineteen and zero."

"Nineteen divided by zero is, say, 19. "

And in reverse?"

"19 times zero ... 19 times zero ... is zero."

"You see? And no matter what number you take, you always get zero. Which means you must never divide a number by zero."

"Okay," said Robert, "I give up. But what do we do with the nineteen? No matter what number I divide it by--two, three, four, five, six, seven, eight, or nine--I get stuck with a remainder."

"Come a little closer," said the number devil to Robert, "and I'll tell you a secret." Robert leaned so close to the number devil that his mustache tickled his ear.

"There are two types of numbers," he whispered. "The garden variety, which can be divided evenly, and the rest, which cannot. I much prefer the latter. You know why? Because they're such prima donnas. From the very first they've caused mathematicians no end of trouble. Wonderful numbers those! Like eleven, thirteen, or seventeen."

Robert couldn't get over how blissful the number devil looked. He might have had a piece of chocolate melting in his mouth.

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