Computers, Pattern, Chaos, and Beauty: Graphics from an Unseen World

Clifford A. Pickover is a Renaissance man. He may not like the label but for me it is one of the highest accolades of intellectual accomplishment. A quick scan through this book is enough to confirm his standing: mathematics, computer programming, art, medicine, music, speech, biochemistry, electronics, education, biology, aesthetics etc. etc. It's all there. This is one of my favourite books and is getting quite dog-eared by the constant use it gets. It is a book to enjoy as well as to refer-to, a book to cheer you up and to fill you with wonder. Not that it is perfect mind you. Far from it. It is now quite dated and the illustrations could do with a decent makeover. The treatment is often abrupt and episodic and the writing is sometimes hurried and muggy. But who cares! The overall effect is of frenzied genius and lively enquiry. My main interest was in Chapter 14. Dynamic Systems. It is not an in-depth treatment by any means but it yields some beautiful ideas. I implemented and experimented with most of the algorithms in the chapter. They work and provide some essential insight into the evolutionary nature of most complex systems. Get the book. The reference list by itself is worth the price.

Perhaps for the new century the technology is a bit out of date, but this book is a well written introduction to both basic and complex computer graphical ways of describing mathematics and natural phenomena.An excellent feature of the book is its pseudocoding used to explain concepts and to be used by the reader as stepping off points for the amateur computer programmer to play.

In Computers, Pattern, Chaos And Beauty, Clifford Pickover focuses on how theories of fractals and chaos lead to computer-generated graphics - and how graphics in computers have connections to the unseen world. From how data is processed and displayed to patterns present in complicated data, this provides both artists and scientists with an intriguing set of concepts.

This book inspires and entrances with something for everyone, from the adventurer with an artistic eye, to the most esoteric mathematics devotee. At practically any level of understanding, it provokes the desire for learning, and an aesthetic appreciation for math that is usually reserved for those who make higher math their lives' work. Best of all, this book can be "grazed", i.e., read out of order and sporadically, gaining benefit where one may. A must-browse for anyone who has ever wondered how mathematics could ever be interesting or powerful.

The algorithms presented in the book are simply too fascinating to be true. Each illustration of fractals or the strange attractors are accompanied by an algorithm which I tried with "C" language. They work excellently and it is a visual treat to watch the fractals unfold, strange attractors trace out intricate patterns and the Pascal Triangle rise like a phoenix before your own eyes. Each algorithm you translate into a program gives you immense joy at having discovered a new hidden hand that leads nature and beauty through the illuminating principles of mathematics and reaveals the deepest mysteries of nature in close collusion with the arcane folds of mathematics.