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book: Derivations of Applied Mathematics


Understandably, program sources rarely derive the mathematical formulas they use. Not wishing to take the formulas on faith, a user might nevertheless reasonably wish to see such formulas somewhere derived.

Derivations of Applied Mathematics is a book which documents and derives many of the mathematical formulas and methods implemented in free software or used in science and engineering generally. It documents and derives the Taylor series (used to calculate trigonometrics), the Newton-Raphson method (used to calculate square roots), the Pythagorean theorem (used to calculate distances) and many others.

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