In Pursuit of the Unknown
17 Equations That Changed the WorldBook - 2013
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Ian Stewart, an emeritus professor of mathematics at Warwick University in England, discusses equations and an inequality that he feels have had a significant impact on human history. They include equations from pure mathematics, mathematical physics, information theory, and finance. In each case, Stewart discusses how the equation was discovered, its original purpose, and how its use led to practical discoveries that were sometimes far afield from the original purpose of the equation. The equations under discussion include the Pythagorean Theorem, the definition of i, the definition of the derivative, a property of logarithms, Euler's formula for polyhedra, the normal curve, the wave equation, the heat equation, Newton's Law of Gravity, Maxwell's equations for electricity and magnetism, the Navier-Stokes equation for fluid dynamics, the Fourier transform, Einstein's equation relating mass and energy, Schrodinger's equation in quantum mechanics, an iterative equation that produces chaotic dynamics, a theorem from information theory, and the Black-Scholes equation for the value of financial derivatives. The inequality is a form of the Second Law of Thermodynamics. The intended audience is the numerate, intellectually curious lay reader, so much of the mathematics is confined to an appendix.
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