3. TRIPLES - details

This book shows an original and highly effective way of unifying many branches of mathematics using Pythagorean triples. A simple, elegant method for combining these triples gives unexpected and powerful general methods for solving a wide range of mathematical problems. There are applications in trigonometry (you do not need any of those complicated formulae), coordinate geometry (2 and 3 dimensions), transformations (2 and 3 dimensions), simple harmonic motion, astronomy etc., etc. 168 pages, size 16cm by 24cm, paperback. 2003 new edition; (first published 1984). Author: K. Williams. ISBN 81-208-1958-6. Price 11.25 pounds.

Reviews

I feel strongly that the methods you have pioneered, such as "Triples", etc; will catch on all around the world....
Gary Adamson, U.S. mathematician.

 I bought your books on Triples and Astronomical Applications, from MLBD. I am at the moment pursuing the book on triples. I like it very much. In fact I noticed the mathematics of addition , subtraction of angles using triples. It makes the laborious proofs and steps needed for the derivations using coordinate geometry (as is usually done nowadays) look superfluous. It is so simple and easy to understand. It is simply enjoyable. Thanks for all the ideas you have put forth because it has opened up vast vistas for imagination. Raji Sharma, Vedic Maths teacher, India.

"Triples" - Back Cover

Pythagorean triples, like 3, 4, 5 have been a fascination for thousands of years. Now for the first time a simple elegant system, based on these triples, has been developed which reveals unexpected applications in many areas of pure and applied mathematics. These include general applications in trigonometry, coordinate geometry (in 2 and 3 dimensions), transformations (in 2 and 3 dimensions), simple harmonic motion, astronomy etc.
The easy triple method links these areas and replaces large numbers of apparently unconnected formulae with a single device.
This book fully explains the various applications and most of it should be accessible to anyone with the basic understanding of mathematics which a school leaver should have.