Keys to Infinity [Paperback]

Clifford A. Pickover (Author)

Product Details

• Paperback
• Publisher: John Wiley & Sons Inc, New York; First Printing edition (1995)
• ISBN-10: 0471118575
• ISBN-13: 978-0471118572
• ASIN: B001NK2W66
• Product Dimensions: 9.6 x 8 x 1 inches
• Shipping Weight: 1.6 pounds
• Average Customer Review: 5.0 out of 5 stars  See all reviews (4 customer reviews)
• Amazon Best Sellers Rank: #7,810,682 in Books (See Top 100 in Books)

More 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.

Customer Reviews

Most Helpful Customer Reviews

11 of 11 people found the following review helpful:

5.0 out of 5 stars A truly entertaining book on numbers, February 25, 2000

By 

Charles Ashbacher (Marion, Iowa United States) - See all my reviews
(TOP 500 REVIEWER)    (VINE VOICE)    (HALL OF FAME REVIEWER)   

This review is from: Keys to Infinity (Paperback)

A perpetual idea machine, Clifford Pickover is one of the most creative, original thinkers in the world today. In most cases using only simple ideas, he follows paths that in many cases must be constructed immediately before traversal. In this, his latest installment in that trek of exploration, he is again at his best.
Each subject starts with a simple premise and the author follows it through to a basic conclusion. Many of the topics involve computer programs, and source code is provided. The programs are in several languages, including C, Pascal, BASIC and Rexx. However, most programs are quite short and represent basic algorithms, so it is not difficult to understand a program even if you are not familiar with the language.
Some of the topics include:

- 10^33, the largest power of 10 that can be represented as the product of two numbers that contain no zero digits.
- A debate as to whether there should be a national computing initiative to compute the first trillion digits of Pi.
- Fractal milkshakes, or creating a collection of fractal "bubbles."

Truly fuN with a capital N for number, this is another of the author's superb creations. A math book that is entertaining, and not just to people who find it so by nature or profession.

Published in Journal of Recreational Mathematics, reprinted with permission.

4 of 5 people found the following review helpful:

5.0 out of 5 stars The one thing wrong with this book is that it's finite, September 14, 1997

By A Customer

This review is from: Keys to Infinity (Hardcover)

This book is not just for maths nuts like me. Its for anyone who has a passing interest in the subject.

The author has in a crisp and concise wa,y managed to introduce, and in some cases explain, both the history and the solution, to some of the most mystifying problems to confront mankind in his infinite quest to understand the Ultimate Infinity - The Universe.

The cover notes suggest that the reader requires "no specialised mathematical knowledge " but you will need to understand some maths probably to GCSE level but then you would not buy, borrow or steal this book if you can't add, subtract, multiply and divide.

The computer programs that are sprinkled throughout the book do require a lot of thought and a good knowledge of the particular language, of which there are several, to make them work but, when they do, they demonstrate the beauty of maths as well as illustrate the ideas under discussion extremely well.

In all a very good read.

8 of 8 people found the following review helpful:

5.0 out of 5 stars A fascinating exploration of topics on infinity, July 5, 2002

By 

P. Barnes "Pete B" (Nashville, TN) - See all my reviews
(REAL NAME)   

This review is from: Keys to Infinity (Paperback)

*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.