Download Advanced Calculus: An Introduction to Classical Analysis by Louis Brand PDF

By Louis Brand

A direction in research that makes a speciality of the capabilities of a true variable, this article is aimed toward upper-level undergraduate scholars. It introduces the elemental suggestions of their easiest atmosphere and illustrates its teachings with quite a few examples, functional theorems, and coherent proofs.
Starting with the constitution of the approach of genuine and intricate numbers, the textual content offers at size with the convergence of sequences and sequence and explores the features of a true variable and of numerous variables. next chapters supply a quick and self-contained creation to vectors that covers vital facets, together with gradients, divergence, and rotation. a whole 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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