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

By Louis Brand

A direction in research that specializes in the services of a true variable, this article is aimed toward upper-level undergraduate scholars. It introduces the fundamental suggestions of their least difficult environment and illustrates its teachings with a variety of examples, functional theorems, and coherent proofs.
Starting with the constitution of the procedure of actual 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 restricting approaches, and the remedy concludes with an exam of Fourier series.

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