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Divine Proportions: Rational Trigonometry to Universal Geometry is a 2005 book by the mathematician Norman J. Wildberger on a proposed alternative approach to Euclidean geometry and trigonometry, called rational trigonometry.
The publisher is Wild Egg Books, run by Norman Wildberger, and with one book published to date (according to my reading of the site). As they say: 'Wild Egg Books is delighted to offer the controversial new book DIVINE PROPORTIONS: Rational Trigonometry to Universal Geometry by N J Wildberger'.
Wildberger is known for his ultrafinitist views as well as rational trigonometry. While I personally disagree with nearly all of Wildberger's views, it is my sincere belief that he is an important figure in the modern philosophy of math debate, if not the most notable proponent of ultrafinitism.
The Risch–Norman algorithm is a simpler, faster, but less powerful variant that was developed in 1976 by Arthur Norman. Some significant progress has been made in computing the logarithmic part of a mixed transcendental-algebraic integral by Brian L. Miller.
Wildberger is a surname. Notable people with the surname include: Ed Wildberger, Missouri politician; Jacques Wildberger, Swiss composer; Norman J. Wildberger, mathematician known for rational trigonometry; Tina Wildberger, Hawaii politician
Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011.
Even with a calculator or computer, round-off errors make it advisable to use the sin 2 formula for small θ. Another historical advantage of the versine is that it is always non-negative, so its logarithm is defined everywhere except for the single angle ( θ = 0, 2 π , …) where it is zero—thus, one could use logarithmic tables for ...
The received point of view in analytic philosophy and formal logic, is that the calculus ratiocinator anticipates mathematical logic—an "algebra of logic". [1] The analytic point of view understands that the calculus ratiocinator is a formal inference engine or computer program, which can be designed so as to grant primacy to calculations.
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