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I decided to write my reply as an answer because I feel strong about both reading instruction and early math education. I hope that neither the original question nor this reply will be edited, because the question is very typical to how many approach education. But feel free to skip the rant below to the recommendation of a book. Listicles in education The ...


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Introduction This is some sort of “apology” for teaching homogeneous ODEs. I think there’s a certain beauty and simplicity to them. That beauty is overlooked in most textbooks, which Rota sourly criticizes. Even one of my favorite older textbooks (G. Simmons), which does a better job for conceptual and qualitative development than its contemporaries, ...


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My copy of Speigel (which has separate chapters on applications, after each theory/calculation chapter) has one problem in "geometry" (really ray optics, finding curve that gives parallel reflection of a point source) that results in a homo first order (non separable) ODE. I didn't check overall first order applictions chapter, but it seems like ...


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