“Too Much Calculus” by Gilbert Strang, who taught me linear algebra in the late Victorian era and is still at it. Linear algebra is what we use for everything in the real world. Calculus is elegant, but you’ll never actually have to solve an integral. http://www-math.mit.edu/~gs/papers/essay.pdf …
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Well, not much. My point is just that you can't develop new mathematical methods (that will probably computationaly reduce to linear algebra in the end) without a solid grasp of analysis.
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Oh, sure. If you are going to be a mathematician, you need to learn tons of everything, definitely including analysis. But hardly anyone is a mathematician. Math courses are mainly taken by future scientists and engineers.
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Gamblers. Programmers. Entire banking and finance industry. Insurance industry.

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All those depend on applied probability theory, but I’d guess less than one person in a thousand who works in them knows serious probability theory (requiring calculus).
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