Author: Kenneth Williams
Publisher: Motilal Banarsidass
Year: 2009
Language: English
Pages:
ISBN/UPC (if available): 9788120819580
Description
Triples shows applications of Pythagorean Triples (like 3,4,5). A simple, elegant system for combining these triples gives unexpected and powerful general method for solving a wide range of mathematical problems, with far less effort than conventional methods. The easy text fully explains how a vast range of problems can be solved by this single triple method. 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, complex numbers etc. etc.
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.
Contents
FOREWORD
PREFACE
Triples
Triple Arithmetic
Triple Trigonometry
Transformations in a Plane
Coordinate Geometry
Code Numbers
Solution of Triangles
Further Applications of Triples
Angles in Perfect Triples
Sine, Cosine, Tangent and Inverses
H