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

By Avner Friedman

This rigorous two-part therapy advances from services of 1 variable to these of a number of variables. meant for college students who've already accomplished a one-year path in trouble-free calculus, it defers the advent of features of a number of variables for so long as attainable, and provides readability and straightforwardness by way of heading off a mix of heuristic and rigorous arguments.
The first half explores services 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 features of a number of variables: the distance of numerous variables and non-stop features, differentiation, a number of integrals, and line and floor integrals, concluding with a variety of comparable issues. whole recommendations to the issues seem on the finish of the text.

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Advanced Calculus (Dover Books on Mathematics) by Avner Friedman

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