By Avner Friedman

This rigorous two-part remedy advances from services of 1 variable to these of a number of variables. meant for college kids who've already accomplished a one-year path in simple calculus, it defers the creation of features of numerous variables for so long as attainable, and provides readability and ease by way of heading off a mix of heuristic and rigorous arguments.
The first half explores capabilities of 1 variable, together with numbers and sequences, non-stop features, differentiable features, integration, and sequences and sequence of services. the second one half examines capabilities of numerous variables: the distance of a number of variables and non-stop capabilities, differentiation, a number of integrals, and line and floor integrals, concluding with a range of similar themes. whole suggestions 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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