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

By Louis Brand

A direction in research that specializes in the features of a true variable, this article is aimed toward upper-level undergraduate scholars. It introduces the fundamental ideas of their easiest atmosphere and illustrates its teachings with quite a few examples, useful theorems, and coherent proofs.
Starting with the constitution of the process of actual and intricate numbers, the textual content offers at size with the convergence of sequences and sequence and explores the capabilities of a true variable and of a number of variables. next chapters supply a quick and self-contained creation to vectors that covers vital elements, together with gradients, divergence, and rotation. a whole bankruptcy is dedicated to the reversal of order in proscribing strategies, 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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