Multivariable calculus james pdf download

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Whether calculating the volume of odd-shaped objects, predicting the outcome of a large number of trials in statistics, or even predicting the weather, we depend in myriad ways on calculus in three dimensions. The multiplicative calculi provide alternatives to the classical calculus, which has an additive derivative and an additive integral.

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Functions that maximize or minimize functionals may be found using the Euler–Lagrange equation of the calculus of variations.

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