Louis Brand's Advanced Calculus: An Introduction to Classical Analysis PDF

By Louis Brand

ISBN-10: 0486445488

ISBN-13: 9780486445489

A direction in research that makes a speciality of the features of a true variable, this article is aimed at upper-level undergraduate scholars. It introduces the elemental recommendations of their easiest environment and illustrates its teachings with quite a few examples, useful theorems, and coherent proofs.
Starting with the constitution of the approach 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 numerous variables. next chapters supply a short and self-contained advent to vectors that covers vital facets, together with gradients, divergence, and rotation. a complete bankruptcy is dedicated to the reversal of order in restricting techniques, and the remedy 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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