
Partial differential equations for scientists and engineers
by Stanley J. Farlow · first published 1982
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2017–2022first – last mentioned
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Stanley Farlow's "Partial Differential Equations for Scientists and Engineers" would be my suggestion for an introduction. It's a Dover book, so it's cheap. Look at the book as a set of simple introductions to a large number of PDE related topics, many of which have applications…
on “Ask HN: Any suggestions of materials on Partial Differential Equations?” ↗On a related note, I can recommend Stanley J. Farlow's "Partial Differential Equations for Scientists and Engineers", which I bought around 2004 to better understand a fluid simulation paper I was trying to implement. (My Maths course ended with linear algebra and ODEs). Very good read with nice physics examples.
on “A First Course in Differential Equations for Scientists and Engineers” ↗Stanley Farlow's "Partial Differential Equations for Scientists and Engineers" is a great introduction to partial differential equations. That book was at exactly the right level for me when I was 19 to be introduced to a wide variety of things in differential equations in general.
on “Ask HN: Books that made you fascinated to learn more mathematics?” ↗…original nonlinear equation, and to which in turn numerical methods can be applied. Wikipedia has a good writeup: https://en.wikipedia.org/wiki/Perturbation_theory Quotes from a very good source: "Partial Differential Equations for Scientists and Engineers, Stanley J. Farnow, 1993, Dover" Pure mathematicians tend to oppose the introduction of approximate and computational methods early on, but there's no reason they can't be taught side-by-side with the…
on “Lessons I wish I had learned before I started teaching differential equations [pdf] (1997)” ↗