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Rating: 
Summary: A fascinating exploration of topics on infinity
Review: *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.
Rating:
Summary: A truly entertaining book on numbers
Review: 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.
Rating:
Summary: Infinity got you stumped? Get this book
Review: Having trouble understanding the concept of "infinity"? Know the word but don't have a deep understanding of what it really is? This book is for you! The author can take such a hard-to-grasp concept like infinity and make it accessible to everyone. With a good sprinkling of computer programs for those with access to one, Pickover provides the reader with the ability to experiment with the ideas presented.
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