Download Advanced Calculus (Dover Books on Mathematics) by Avner Friedman PDF

By Avner Friedman

This rigorous two-part remedy advances from features of 1 variable to these of numerous variables. meant for college kids who've already accomplished a one-year direction in ordinary calculus, it defers the advent of features of numerous variables for so long as attainable, and provides readability and ease via heading off a mix of heuristic and rigorous arguments.
The first half explores features of 1 variable, together with numbers and sequences, non-stop services, differentiable services, integration, and sequences and sequence of features. the second one half examines services of a number of variables: the distance of a number of variables and non-stop features, differentiation, a number of integrals, and line and floor integrals, concluding with a range of similar subject matters. entire recommendations to the issues seem on the finish of the text.

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