Divine Proportions: Rational Trigonometry to Universal Geometry

N. J. Wildberger

ISBN 10: 097574920X / ISBN 13: 9780975749203

Published by Wild Egg Books, 2005

About this Item

300 pages. The cover has a minimal wear. Books listed here are not stored at the shop. Please contact us if you want to pick up a book from Newtown.

Seller Inventory # 179317

Bibliographic Details

• Title: Divine Proportions: Rational Trigonometry to Universal Geometry
• Publisher: Wild Egg Books
• Publication Date: 2005
• Language: English
• ISBN 10: 097574920X
• ISBN 13: 9780975749203
• Binding: Hardcover
• Condition: Very Good
• Dust Jacket Condition: No Dust Jacket
• Seller catalogs:
  • Sciences & Tech. Subjects, inc. Maths & Astronomy

About this title

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.