This nicely written book gives an excellent account of the history of calculus. Most of the material is elementary and should be accessible to a non-specialist audience.I particularly enjoyed the chapter on Weierstrass and his non-differentiable function. This is the only (elementary) book I know, which includes a proof that this function is continuous but nowhere differentiable.
I'm disappointed that the story ends with Lebesgue and his theory of measure, which now dates back 100-years. The recent revival of “Riemann-style” techniques of integration, pioneered by Perron, Kurzweil, McShane and Henstock would have been interesting. Unlike Lebesgue’s theory, it would have been easy to present the intuition behind the Henstock integral. This would make it more apparent that Mathematics is a “living” subject, which continues to be refined to this day.
It might also have been worth including a brief mention of the Ito-Doeblin “stochastic calculus” and how it led to the Black-Scholes theory of option pricing. This would relate nicely to the chapter on Weirstrass and his “pathological” function.
