That’s very convoluted

Dr Euler’s Fabulous Formula: Cures Many Mathematical Ills by Paul J Nahin

A great book that starts with complex numbers and Euler’s formula which relates some of the fundamental constants of mathematics, and then moves on to period functions and Fourier series, showing lots of practical applications along the way. This was a thoroughly interesting read. In particular I enjoyed the solutions to the runner’s problem – when a runner is going around a closed circuit, is a constant wind an advantage (and the answer is no), and the dog walker’s distance – if a dog stays constantly 1 metre to the right of the walker, how much extra distance does the dog walk.

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