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Keys to Infinity

4.7 4.7 out of 5 stars 8 ratings

"An original and exciting exploration of how utterly weird, and utterly beautiful, the infinite can be." —Ian Stewart, author of Does God Play Dice

"In this the latest of Dr. Pickover's marvelous books, he breaks all finite chains to soar into the transcendental, mind-boggling regions of mathematical infinity. Written in the author's informal, clear style, it is a treasure trove of recreational problems, many published here for the first time, with special emphasis on computer programs and riveting graphics. As you soar, fasten your seat belt." —Martin Gardner, author of The Magic Numbers of Dr. Matrix

"Inventive, quirky, fun! Pickover presents an engaging, inspiring romp in the realm of number and mathematical thought." —Ivars Peterson, author of The Mathematical Tourist

"Join Pickover on his wonderful merry-go-round of ideas, and reach for the infinite. Keys to Infinity is an engaging book . . . a must for those wishing to explore the infinite in all its manifestations." —Theoni Pappas, author of The Joy of Mathematics

"Clifford Pickover's Keys to Infinity unlocks the gates to some of the coast-bound highways and byways, and invites us to admire the scenery." —New Scientist

"What could be more appropriate to the subject of infinity than a book like this one, so dense with wonderful puzzles, anecdotes, images, and computer programs that you could pore over it forever? In Keys to Infinity, Pickover has once again assembled a mathematical feast." —Carl Zimmer, Senior Editor, Discover

"Dr. Pickover, an IBM researcher and the author of Chaos in Wonderland, has produced another engaging book of math-based puzzles and paradoxes organized around the general theme of infinity. . . the clear, conversational style makes the numerous equations easy to assimilate." —The Guardian


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Editorial Reviews

Amazon.com Review

Clifford Pickover is by most standards a mathematics geek (Ph.D. research scientist for IBM, associate editor for two computer journals), but he is the coolest math geek you might ever meet. For this book he has compiled 30 chapters of mathematical puzzles (and one short story), all having some connection to the concept of infinity. These problems are open-ended; in the event that the reader actually solves the main puzzle, there are enough digressions, diversions, and tangents to keep even the fastest computer running for hours. Computer modelers will be happy to find that instructive BASIC and C language has been provided for most of the problems. Many puzzles have been previously posted on the Internet, and the best or weirdest replies have been included in this book.

If phrases like "Monte Carlo bootstrapping approximation" send you off the deep end, not to worry. These are not dry, dusty puzzles. In problems such as "The Loom of Creation," "Grid of the Gods," "Alien Abduction Algebra," and "The Infinity Worms of Callisto," Pickover has couched mathematical puzzles in bizarre science fiction scenarios to make them both fun and challenging. --Eric Warner

From the Back Cover

"An original and exciting exploration of how utterly weird, and utterly beautiful, the infinite can be." --Ian Stewart, author of Does God Play Dice?

"In this the latest of Dr. Pickover's marvelous books, he breaks all finite chains to soar into the transcendental, mind-boggling regions of mathematical infinity. Written in the author's informal, clear style, it is a treasure trove of recreational problems, many published here for the first time, with special emphasis on computer programs and riveting graphics. As you soar, fasten your seat belt." --Martin Gardner, author of The Magic Numbers of Dr. Matrix.

"Inventive, quirky, fun! Pickover presents an engaging, inspiring romp in the realm of number and mathematical thought." --Ivars Peterson, author of The Mathematical Tourist.

"Join Pickover on his wonderful merry-go-round of ideas, and reach for the infinite. Keys to Infinity is an engaging book . . . a must for those wishing to explore the infinite in all its manifestations." --Theoni Pappas, author of The Joy of Mathematics.

"Clifford Pickover's Keys to Infinity unlocks the gates to some of the coast-bound highways and byways, and invites us to admire the scenery." --New Scientist.

"What could be more appropriate to the subject of infinity than a book like this one, so dense with wonderful puzzles, anecdotes, images, and computer programs that you could pore over it forever? In Keys to Infinity, Pickover has once again assembled a mathematical feast." --Carl Zimmer, Senior Editor, Discover.

"Dr. Pickover, an IBM researcher and the author of Chaos in Wonderland, has produced another engaging book of math-based puzzles and paradoxes organized around the general theme of infinity. . . the clear, conversational style makes the numerous equations easy to assimilate." --The Guardian.

Product details

  • Publisher ‏ : ‎ John Wiley & Sons Inc (October 2, 1997)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 360 pages
  • ISBN-10 ‏ : ‎ 0471193348
  • ISBN-13 ‏ : ‎ 978-0471193340
  • Item Weight ‏ : ‎ 1.06 pounds
  • Dimensions ‏ : ‎ 6 x 1 x 9 inches
  • Customer Reviews:
    4.7 4.7 out of 5 stars 8 ratings

About the author

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Clifford A. Pickover
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From my publisher:

Clifford A. Pickover received his Ph.D. from Yale University and is the author of over 30 books on such topics as computers and creativity, art, mathematics, black holes, religion, human behavior and intelligence, time travel, alien life, and science fiction.

Pickover is a prolific inventor with dozens of patents, is the associate editor for several journals, the author of colorful puzzle calendars, and puzzle contributor to magazines geared to children and adults.

WIRED magazine writes, "Bucky Fuller thought big, Arthur C. Clarke thinks big, but Cliff Pickover outdoes them both." According to The Los Angeles Times, "Pickover has published nearly a book a year in which he stretches the limits of computers, art and thought."

The Christian Science Monitor writes, "Pickover inspires a new generation of da Vincis to build unknown flying machines and create new Mona Lisas." Pickover's computer graphics have been featured on the cover of many popular magazines and on TV shows.

His web site, Pickover.Com, has received millions of visits. His Blog RealityCarnival.Com is one of his most popular sites.

Customer reviews

4.7 out of 5 stars
4.7 out of 5
We don’t use a simple average to calculate the overall star rating and percentage breakdown by star. Our system gives more weight to certain factors—including how recent the review is and if the reviewer bought it on Amazon. Learn more
8 global ratings

Top reviews from the United States

Reviewed in the United States on July 18, 2014
Even though it was written in the 90s this is a very provocative read. If you've read any of Pickover's other books, I'd highly suggest this one. It gets you thinking.
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Reviewed in the United States on June 14, 2014
I have had this book for some time but only recently got round to reading it because of a connection to something I am currently working on.

Imagine my surprise to discover that it was not what I had thought it to be but was, instead, much, much more.

If I could compare it to something I would use an example of a Rubik's Cube. You twist it this way, that way, another way in a struggle to come up with a solution. Having said that, this is insufficient to communicate the richness of the book.

This truly is a tale of mystery and imagination, a combined effort with many contributors to capture a little of the cosmos in a relatively few pages.

I will not spoil it for anyone who wishes to take up the challenges that the book presents suffice to say that I am reminded of the books by Kit Williams, but I digress.

This is mind blowing stuff with one caveat, the computer aspects of the book certainly are in need of an update if not a CD as a supplement to the text.

A wonderful book to contemplate on cold, wintry nights, along with the Answer to the Ultimate Question of Life, the Universe, and Everything.
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Reviewed in the United States on July 6, 2002
*The book is a collection of fascinating, thought-provoking essays on
various topics which are not necessarily all concerned with infinite
topics. Some may be discussions of really big numbers or
mathematical constructs, but these may or may not necessarily involve
infinity.
*If you absolutely cannot stand math stuff, this is not your book.
Otherwise, it has a range of math from very simple to really
advanced. I just brushed over the very advanced math stuff that I
either did not understand or had long ago forgotten, but I didn't
really feel like I missed anything.
*There are a slew of amazing visually complex and striking graphical
representations of various advanced functions, etc. All are well
worth exploring, even if they do not directly involve infinite
concepts. The book is loaded with such graphics, a real visual feast.
*The math is rather advanced in some sections but is quite elementary
in others. Best of all, a generous collection of computer programs
is included which can be used to explore almost every chapter.
*There are a few "mystery" type things, but mostly it is just very
exotic, seldom-explored areas of number theories and other areas of
mathematics.
*The chapter on Vampire numbers is really cool, I thought. I have
seen them mentioned in posts here from time to time, now I understand
what they are and why they are so interesting
*The chapter on recursion has loads of really cool pattern-type stuff
that you can easily explore with a PC. A great topic.
*The chapter near the back of the book on random numbers and random
number generators is great background for some anyone interested in quantum theory. I had never seen the RNG cloud graphics before, what a
unique and ideal way to show the effectiveness of an RNG.
As expected, this is a great book, I heartily recommend it for all.
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Top reviews from other countries

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elecjc
5.0 out of 5 stars Très bon état
Reviewed in France on February 28, 2020
Très satisfait
Amazon Customer
5.0 out of 5 stars Interesting and Engaging
Reviewed in the United Kingdom on December 23, 2016
I bought this as a present for a friend but had a look at it first. 'Keys to Infinity' is an extremely interesting book with clearly explained puzzles and investigations. Whilst the concept of infinity may be at a high level (possibly past A Level Maths), Pickover's style of writing makes it accessible to a wider audience. There is also plenty of room for the reader to explore the topics further, meaning that there isn't a definitive 'end' to the book.