"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. Pickover2s marvelous books, he breaks all finite chains to soar into the transcendental, mind-boggling regions of mathematical infinity. Written in the author2s 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 Pickover2s 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.