I stumbled on this book and course (18.098) available both in print from MIT Press and as a download (earlier edition) from OCW here . I'm perusing it a little now, if it contains half of the heuristic greatness it says it does, I expect to enjoy this and gain a good deal from it. In math, so much effort is wasted on fruitless approaches that a little reasoning would rule out early.
So, thanks to the author Sanjoy Mahajan for making this available to us all.
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