The Universe in Zero Words
The Story of Mathematics as Told Through EquationsBook - 2012
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Dana MacKenzie, a mathematician with a doctorate from Princeton University, discusses important equations drawn from pure and applied mathematics in a book intended for the lay reader. He divides the book into four chronologically based sections: antiquity, the age of exploration, the 19th century, and the 20th century. MacKenzie states each equation and discusses its meaning, historical context, and importance in mathematics, physics, or finance. Topics include arithmetic; zero; the Pythagorean Theorem; pi; Zeno's paradoxes and the meaning of infinity; Archimedes' law of the lever; the solution of the cubic equation by radicals; Kepler's laws of planetary motion; Fermat's Last Theorem; the Fundamental Theorem of Calculus; Newton's laws of motion; Euler's theorems; Hamilton's quaternions; group theory; non-Euclidean geometry; the prime number theorem; Fourier series; Maxwell's equations of electricity and magnetism; the photoelectric effect and relativity; Dirac's formula (quantum mechanics); the Chern-Gauss-Bonnet equation; the Continuum Hypothesis; the Lorenz equations (chaos); the Black-Scholes equations for financial derivatives.
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