Infinite Powers: How Calculus Reveals the Secrets of the Universe by Steven H. Strogatz is the best book written for laypeople about Calculus (I have yet to read). The author handles it all: the rise of the questions and challenges of Calculus before its exact formulation, its formulation and how it works, and how it is employed in all manner of human endeavors. But Calculus not only has a past and a present but a future. Stogatz speculates how this form of math, the language God speaks, may work for us in the time to come.
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