Math textbooks often present formulas, even extremely important ones, without proof or justification. That’s probably fine for the student with average interest and ability, but it is often a disservice to students who really want to understand the subject. My preference would be that the books have derivations in a sidebar, with the understanding that [...]

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In 1940, the outstanding British mathematician G.H. Hardy wrote a small book called A Mathematician’s Apology. In the book Hardy stated (boasted really), that, “No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world.” Thus [...]

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