book: Derivations of Applied Mathematics


For various valid reasons, open-source program sources rarely derive the mathematical formulas they use. A user, nevertheless -- not wishing to take such formulas on faith -- might wish to see such formulas *somewhere* derived.

Derivations of Applied Mathematics is a book that derives, and documents, many of the mathematical formulas and methods open-source programs use, and indeed many of the formulas and methods used in science and engineering generally. For example, it derives and documents 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.

The book's format is PDF.

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