By Louis Brand

A direction in research that specializes in the features of a true variable, this article is aimed at upper-level undergraduate scholars. It introduces the elemental techniques of their least difficult atmosphere and illustrates its teachings with quite a few examples, sensible theorems, and coherent proofs.
Starting with the constitution of the process of genuine and intricate numbers, the textual content bargains at size with the convergence of sequences and sequence and explores the services of a true variable and of a number of variables. next chapters provide a quick and self-contained creation to vectors that covers vital points, together with gradients, divergence, and rotation. a complete bankruptcy is dedicated to the reversal of order in proscribing methods, and the therapy concludes with an exam of Fourier series.

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Advanced Calculus: An Introduction to Classical Analysis by Louis Brand
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