Divine Proportions: Rational Trigonometry to Universal Geometry

N J Wildberger.

ISBN 10: 097574920X / ISBN 13: 9780975749203

Published by Wild Egg Books/Sydney, 2005

300 pp plus single folded errata page laid in. Book/dust jacket condition: Fine/na (as issued: illustrated boards). !st/First Ed., 1st/First Printing (NAP). Beautifully illustrated in b/w throughout. All orders are processed and shipped from MI or WI, USA. Seller Inventory # 006517

Synopsis:

This revolutionary book establishes new foundations for trigonometry and Euclidean geometry. It shows how to replace transcendental trig functions with high school arithmetic and algebra to dramatically simplify the subject, increase accuracy in practical problems, and allow metrical geometry to be systematically developed over a general field. This new theory brings together geometry, algebra and number theory and sets out new directions for algebraic geometry, combinatorics, special functions and computer graphics. The treatment is careful and precise, with over one hundred theorems and 170 diagrams, and is meant for a mathematically mature audience. Gifted high school students will find most of the material accessible, although a few chapters require calculus. Applications include surveying and engineering problems, Platonic solids, spherical and cylindrical coordinate systems, and selected physics problems, such as projectile motion and Snell's law. Examples over finite fields are also included.

About the Author: N J Wildberger (PhD Yale 1984) is currently Associate Professor at UNSW in Sydney Australia, and has taught at Stanford University and the University of Toronto. His main research interests are Lie theory, representation theory and hypergroups. He has also done work in number theory, combinatorics and mathematical physics. He is married, and lives in Sydney with his wife Kim and daughter Ali. This is his first book.

Bibliographic Details

Title: Divine Proportions: Rational Trigonometry to...
Publisher: Wild Egg Books/Sydney
Publication Date: 2005
Binding: Hardcover
Condition: Fine
Edition: 1st Edition