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Street-Fighting Mathematics (2008)
- stmw 10mo agoThis is a good book. Also, any time this kind of book becomes available (be it a 100 year old one or a new one), it is worth looking into - great improvements in isnight and simplicity are possible above the "baseline" of US math education today. So for example, I posit that the engineers or scientists you might admire from the 1950's didn't learn calculus or linear algebra the way you did.
- gpcz 10mo agoFeynman learned calculus from the textbook "Calculus for the Practical Man".
- nutjob2 10mo agoBook PDF is here: https://direct.mit.edu/books/oa-monograph-pdf/2284035/book_9780262265881.pdf https://direct.mit.edu/books/oa-monograph-pdf/2284035/book_9...
- marci 10mo agoThis is the draft, not the current version. edit: and for the current unfortunately there's only a dead dropbox link.
- NooneAtAll3 10mo agowhat is it about? how to distribute fighters so that your team defeats-in-detail your opponents?
- slow_typist 10mo agoIt is about useful tricks you can usually not learn in university classes.
- NooneAtAll3 10mo agotricks of what kind
- wolfi1 10mo agofast multiplying for example
- slow_typist 10mo agoAlso how to make good estimates, and how to work with units. One example, the formula to get the speed of a thing after h meters of free fall must deliver an outcome of m/s. We also know the gravitational acceleration g is given in m/s^2. Then, height h in m must somehow be part of the formula. We can get rid of the squaresecond in the denominator by drawing the square root. But then we also need the height in meters. Also it is clear that both more height as well as a higher acceleration must lead to higher speed. Therefore, the speed must be proportional to sqrt(h x g). In fact it is v = 1/2 sqrt(h x g) but we can derive the important part only from knowing how to calculate with units.
- brennanpeterson 10mo agoI also quite liked https://ocw.mit.edu/courses/res-6-011-the-art-of-insight-in-science-and-engineering-mastering-complexity-fall-2014/pages/online-textbook/ https://ocw.mit.edu/courses/res-6-011-the-art-of-insight-in-... Which is, I think, the successor and quite useful.
- rm445 10mo agoI've read this book. It's definitely one of the more interesting and readable maths texts out there. I wasn't exactly sure I'd use the methods. Working as a mechanical engineer I probably go straight to numerical methods, or approximate things even more crudely and approximately than a mathematician's 'rough' work. Though "replace a complicated function with a rectangle" definitely resonated. Overall the impression was that it was full of great techniques for mathematicians and scientists puzzling out every bit of meaning they can from a situation whose true features aren't yet known.
- ErroneousBosh 10mo agoThat's kind of how I do maths, too. Working out the lengths of antenna feeders, for example, where a coil of cable is about 30cm across. One turn of that is about one metre, so a coil with ten turns is about ten metres. Roughly. Close enough. I can coil it up shorter but I can't coil it up longer. If I'm doing really precise stuff, I'm either doing it on a computer already or it's something that's just going to have to be "adjusted" into place when it's done. In high school my maths teacher said "You'll need to learn all this, you won't always have a calculator!" My dude, I am walking around with a supercomputer the size of half a slice of bread in my pocket, that probably has a sizeable fraction of the total computing power available in the world when you told me that. It turns out I don't need either of these things, I just need a good sense of "yeah that feels about right".
- stefanfisk 10mo agoNot to mention instant and searchable access to more subject matter than he’d seen in his whole lifetime.
- groundzeros2015 10mo agoAnother book title aimed at getting people who haven’t read their pile of books to buy another.
- jesuslop 10mo agoI skimmed the chapter on operators (7) and always liked that way of thinking (plug things like the derivative operation D into things that expect numbers instead, and see what happens). So plugging into 1/x and getting integrals. Dattoli and Tom Copeland do serious stuff starting from that kind of considerations that go way beyond cocktail party tricks.