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

By Avner Friedman

This rigorous two-part remedy advances from capabilities of 1 variable to these of a number of 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 by way of keeping off a mix of heuristic and rigorous arguments.
The first half explores services of 1 variable, together with numbers and sequences, non-stop features, differentiable capabilities, integration, and sequences and sequence of capabilities. the second one half examines features of numerous variables: the gap of numerous variables and non-stop capabilities, differentiation, a number of integrals, and line and floor integrals, concluding with a range of similar issues. entire strategies to the issues look on the finish of the text.

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