Read e-book online Advanced Calculus: An Introduction to Classical Analysis PDF

By Louis Brand

A path in research that specializes in the capabilities of a true variable, this article is aimed toward upper-level undergraduate scholars. It introduces the fundamental techniques of their least difficult environment and illustrates its teachings with quite a few examples, sensible theorems, and coherent proofs.
Starting with the constitution of the process of genuine and complicated numbers, the textual content offers at size with the convergence of sequences and sequence and explores the services of a true variable and of numerous variables. next chapters provide a short and self-contained advent to vectors that covers vital elements, together with gradients, divergence, and rotation. a whole bankruptcy is dedicated to the reversal of order in proscribing procedures, and the therapy concludes with an exam of Fourier series.

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Advanced Calculus: An Introduction to Classical Analysis (Dover Books on Mathematics) by Louis Brand

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