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Keys to Infinity
"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
- ISBN-100471193348
- ISBN-13978-0471193340
- PublisherJohn Wiley & Sons Inc
- Publication dateOctober 2, 1997
- LanguageEnglish
- Dimensions6 x 1 x 9 inches
- Print length360 pages
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Editorial Reviews
Amazon.com Review
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
"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.
About the Author
"Casti is one of the great science writers of the 1990s. . . . If you'd like to have fun while giving your brain a first-class workout, then check this book out."—Keay Davidson in the San Francisco Examiner.
"Five Golden Rules is caviar for the inquiring reader. . . . There is joy here in watching the unfolding of these intricate and beautiful techniques. Casti's gift is to be able to let the nonmathematical reader share in his understanding of the beauty of a good theory." —Christian Science Monitor.
"Merely knowing about the existence of some of these golden rules may spark new, interesting—maybe revolutionary—ideas in your mind." —Robert Matthews in New Scientist (United Kingdom).
"This book has meat! It is solid fare, food for thought. Five Golden Rules makes math less forbidding and much more interesting." —Ben Bova in the Hartford Courant
"With this groundbreaking work, John Casti shows himself to be a great mathematics writer. Five Golden Rules is a feast of rare new delights all made perfectly comprehensible." —Rudy Rucker, author of The Fourth Dimension.
"With the lucid informality for which he has become known, John Casti has written an engaging and articulate examination of five great mathematical theorems and their myriad applications." —John Allen Paulos, author of A Mathematician Reads the Newspaper. 04 02 The Minimax Theorem (Game Theory).
The Brouwer Fixed-Point Theorem (Topology).
Morse's Theorem (Singularity Theory).
The Halting Theorem (Theory of Computation).
The Simplex Method (Optimization Theory).
Bibliography.
Index.JOHN L. CASTI is a resident member of the Santa Fe Institute and a professor at the Technical University of Vienna. He is the author of four other trade books, Would-Be Worlds (Wiley), Paradigms Lost, Searching for Certainty, and Complexification, as well as the two-volume Reality Rules, a text on mathematical modeling (also published by Wiley). 02 Wiley Imprint Code List JW Wiley John Wiley & Sons 19970912 1995 01 000 01 236.5 mm 02 155.5 mm 03 17.1 mm 08 11.84 oz John Wiley & Sons IP 47 01 T 18.95 0471195278 03 0471195278 DG 004 Acrobat Ebook Reader 004 Welch An American Icon 1 A01 Janet Lowe Lowe, Janet Janet Lowe eng BUS000000 2.3 01 A rare perspective on the personal philosophy, business savvy, and future of the chairman of the most admired company in the world
Jack Welch, chairman of General Electric, is due to retire this spring. Welch has transported GE into the new economy with his management style, his forward-thinking approach to new technology, and by encouraging creativity among his employees. This book provides a look at what the innovative powerhouse executive has brought to American business and what will ultimately be his legacy. Thorough, authoritative, and absorbing, Welch: An American Icon includes interviews with CEOs at other leading companies who have worked under Welch and been trained by him, as well as interviews with other GE executives.
Janet Lowe (Del Mar, CA) is an investment writer and author who has written sixteen business and biographical works, including the recent Damn Right!: Behind the Scenes with Berkshire-Hathaway Billionaire Charlie Munger (0-471-24473-2). Ms. Lowe is past editor of the San Diego Daily Transcript and Financial Editor of the San Diego Tribune. More than 200 of her business articles have appeared in such publications as Newsweek, the Christian Science Monitor, Los Angeles Times, and the San Francisco Chronicle. 02 Wiley Imprint Code List JW Wiley John Wiley & Sons 20040315 2001 01 000 John Wiley & Sons IP 0 01 T 24.95 0471197157 03 0471197157 BC Investment Management 1 B01 Peter L. Bernstein Bernstein, Peter L. Peter L. Bernstein 2 B01 Aswath Damodaran Damodaran, Aswath Aswath Damodaran eng 480 BUS027000 2.3 01 A state-of-the-art program in investment principles and applications from topflight professionals.
Edited by Peter Bernstein and Aswath Damodaran, who are widely respected throughout the world of finance, this authoritative text brings together an all-star team to provide both a hands-on and theoretical overview of investing in today's challenging financial environment.
Once upon a time, Wall Street lived off little homilies like, 'buy low and sell high,' 'nothing ventured, nothing gained,' and 'don't put all your eggs in one basket.' Like all sayings that endure, these simple proverbs contain a lot of truth, even if not the whole truth. When wrapped into a body of theory that supports them with logic and a systematic set of principles, these elementary wisdoms pack a great deal of power.
Yet if the theory is so consistent, logical, and powerful, another fabled Wall Street saying comes to mind: 'If you're so smart, how come you're not rich?' The answer is disarmingly simple: The essence of investment theory is that being smart is not a sufficient condition for being rich. This book is about the missing ingredients. —from the Preface by Peter L. Bernstein. 04 02 The Investment Setting.
UNDERSTANDING THE CLIENT.
Risk and Utility: Basics.
Models of Risk.
Alternative Measures of Risk.
Tax Considerations in Investing.
THE ASSET ALLOCATION DECISION.
Global Management and Asset Allocation.
Active Asset Allocation.
THE ASSET SELECTION DECISION.
Asset Selection: Strategies and Evidence.
Investment Strategy.
PORTFOLIO EXECUTION.
Trading Costs.
The Hidden Costs of Trading.
Managing Portfolio Risk.
PERFORMANCE EVALUATION.
Evaluating Investment Performance.
Taxes and Performance Evaluation.
CORPORATE GOVERNANCE AND INVESTMENT MANAGEMENT.
U.S.
Corporate Governance: Lessons from the 1980s.
Chapeter Notes.
Glossary.
Index.PETER L. BERNSTEIN is President of Peter L. Bernstein, Inc., economic consultants to institutional investors and corporations. A longtime participant in the world of finance as a money manager, teacher, and writer, he was the founder of the Journal of Portfolio Management and is the publisher of the biweekly, Economics and Portfolio Strategy. His seven books include Against the Gods: The Remarkable Story of Risk (Wiley) and Capital Ideas: The Improbable Origins of Modern Wall Street.
ASWATH DAMODARAN is Associate Professor of Finance at New York University's Stern School of Business and the author of numerous books, including Investment Valuation and Corporate Finance: Theory and Practice, both published by Wiley. He was voted one of the top twelve business educators in the United States by BusinessWeek.
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
- Best Sellers Rank: #459,240 in Books (See Top 100 in Books)
- #155 in Physics (Books)
- #168 in Mathematical Physics (Books)
- #2,166 in Core
- Customer Reviews:
About the author

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.
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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.
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.






