Everyday Calculus
by Oscar E. Fernandez · first published 2014
100% recommend
Uses everyday experiences to reveal the hidden calculus behind a typical day's events, showing how math naturally emerges from simple observations such as how hot coffee cools down, and demonstrating that calculus can be both useful and fascinating.
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I'm only part way though this book, but I think you might find it interesting, vis-a-vis the above question: https://www.amazon.com/Everyday-Calculus-Discovering-Hidden-...
on “Big Picture of Calculus (2010) [video]” ↗…nice guide to investigating that realm. If the child does arithmetic from right to left, as is sadly too common, the book Speed Mathematics Simplified by Edward Stoddard is a great remedy for that. Everyday Calculus by Oscar Fernandez could also be worth a look.
on “Ask HN: Recommend a maths book for a teenager?” ↗> Most people don't need to know calculus. People should have at the minimum a conceptual idea of Calculus. A good motivation is Everyday Calculus: Discovering the Hidden Math All around Us by Oscar E. Fernandez - https://press.princeton.edu/books/paperback/9780691175751/ev... > And if you do learn it, do so with rigor so you actually learn it…
on “Calculus for Mathematicians, Computer Scientists, and Physicists [pdf]” ↗…Add the fact that many mindlessly recommend Spivak/Apostol etc. books which are highly rigorous and a beginning student is lost and starts to develop an aversion to the subject. For some motivation see Everyday Calculus: Discovering the Hidden Math All around Us by Oscar Fernandez - https://press.princeton.edu/books/paperback/9780691175751/ev...
on “Simplifying and Refactoring Introductory Calculus” ↗