5

For 2nd year engineering students, you should not be wasting time trying to prove the expansion, except perhaps giving a heuristic argument for the quadratic approximation in the case of two variables. Stick to operational algebraic formulations and computations, which is the only thing they'll ever need. My go-to book for an elementary treatment of this ...


2

I looked at some books I have. It's not clear to me how vital the multivariable Taylor topic even is. Swokowski does not cover it, for instance. Neither does Kreyszig, although he does cover it for complex analysis. So you could consider to stick with a cursory treatment or even cut it entirely. After all, time is limited and there are plenty of other &...


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