Download e-book for iPad: Advanced Calculus: An Introduction to Classical Analysis by Louis Brand

By Louis Brand

ISBN-10: 0486445488

ISBN-13: 9780486445489

A path in research that makes a speciality of the features 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 various examples, functional theorems, and coherent proofs.
Starting with the constitution of the process 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 a number of variables. next chapters provide a quick and self-contained creation to vectors that covers very important features, together with gradients, divergence, and rotation. a complete bankruptcy is dedicated to the reversal of order in proscribing techniques, 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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