Differential Equations with Applications and Historical Notes
by George F. Simmons · first published 1972
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Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect of the predominance of fads is that if a student doesn’t learn about such worthwhile topics as the wave equation, Gauss’s hypergeometric function, the gamma function, and the basic problems of the calculus of variations―among others―as an undergraduate, then he/she is unlikely to do so later. The natural place for an informal acquaintance with such ideas is a leisurely introductory course on diff
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…a bad time as I was. That comes through, and influences the pedagogy. In terms of books, I recommend anything by George F. Simmons, who adds historical notes and examples to his books. For example, "Differential Equations with Applications and Historical Notes".
on “Why is the state of mathematics education so abstract and uninspiring?” ↗…Physics, Biology, Finance, etc. For the absolute basics, Khan Academy is also good. I also mentioned two in the original post. Riley, Hobson, Bence is better for your needs. I have recently come across Differential Equations with Applications and Historical Notes By George F. Simmons [5]. It might also float your boat. I am aware that I have given you too many choices. But learning DEs is a months-long endeavor and I want you to spend at least some hours choosing…
on “Solving First Order Differential Equations with Julia” ↗Author mentions Simmons' Differential Equations with Applications and Historical Notes (1972), which is at Internet Archive: https://archive.org/details/differentialequa0000simm/page/n6...
on “A balanced review of Math Academy” ↗…Long-Form Mathematics Textbook • Proofs: A Long-Form Mathematics Textbook • Mathematical Logic Through Python • A Course in Calculus and Real Analysis • A Course in Multivariable Calculus and Analysis • Differential Equations With Applications and Historical Notes • Probability and Random Processes (Grimmet) • Probability Through Problems • Fifty Challenging Problems in Probability with Solutions • The Simple and Infinite Joy of Mathematical Statistics • An…
on “Reimagining mathematics in a world of reasoning machines [video]” ↗…course in mathematical analysis" by Burkhill for calculus (to refresh and extend high school), and then after that: my college linear algebra book (done wrong), Spivak's "Calculus on Manifolds", and "Differential Equations with Applications and Historical Notes". - CS/Software Engineering: I gravitate towards functional programming and mathematical logic, so resources like the 'Software Foundations'[2] series are appealing. However my interest in numerical…
on “Ask HN: Advice for programmer with impostor syndrome motivated to study” ↗