Posted on 06/29/2016 8:33:17 PM PDT by MtnClimber
In 2012, Mathematician Ian Stewart came out with an excellent and deeply researched book titled "In Pursuit of the Unknown: 17 Equations That Changed the World."
His book takes a look at the most pivotal equations of all time, and puts them in a human, rather than technical context.
"Equations definitely can be dull, and they can seem complicated, but that’s because they are often presented in a dull and complicated way," Stewart told Business Insider. "I have an advantage over school math teachers: I'm not trying to show you how to do the sums yourself." ...
Stewart continued that "equations are a vital part of our culture. The stories behind them — the people who discovered or invented them and the periods in which they lived — are fascinating."
Here are 17 equations that have changed the world:
The Pythagorean Theorem
Image: Business Insider What does it mean? The square of the hypotenuse of a right triangle is equal to the sum of the squares of its legs.
History: Though attributed to Pythagoras, it is not certain that he was the first person to prove it. The first clear proof came from Euclid, and it is possible the concept was known 1,000 years before Pythoragas by the Babylonians.
Importance: The equation is at the core of much of geometry, links it with algebra, and is the foundation of trigonometry. Without it, accurate surveying, mapmaking, and navigation would be impossible.
In terms of pure math, the Pythagorean Theorem defines normal, Euclidean plane geometry. For example, a right triangle drawn on the surface of a sphere like the Earth doesn't necessarily satisfy the theorem.
Modern use: Triangulation is used to this day to pinpoint relative location for GPS navigation.
(Excerpt) Read more at weforum.org ...
A penny saved is a penny earned....
Thermo is, too (Entropy).
Terry Tao has written a series of papers trying to understand the blow up behavior of the Navier-Stokes problem. His latest is here https://terrytao.wordpress.com/2016/06/29/finite-time-blowup-for-lagrangian-modifications-of-the-three-dimensional-euler-equation/
Bfl
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