Found in 2 comments on Hacker News
sriram_malhar · 2020-02-24
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Just the book for you:
"Who is Fourier: a mathematical adventure" https://www.amazon.com/Who-Fourier-Mathematical-Transnationa...
It is a simply brilliant book that takes you from basic trigonometry, logarithms and so on through calculus and finally fourier series.
Who Is Fourier?: A Mathematical Adventure
https://www.amazon.com/Who-Fourier-Mathematical-Transnationa...
It started off as a bunch of non-math literate folks teaching themselves math from scratch, including trigonometry, calculus etc, and ending in Fourier series. It is a very approachable and fun book.