New PDF release: Advanced Calculus: An Introduction to Classical Analysis

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 at upper-level undergraduate scholars. It introduces the elemental recommendations of their least difficult atmosphere and illustrates its teachings with quite a few examples, useful theorems, and coherent proofs.
Starting with the constitution of the procedure of actual and complicated 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 provide a short and self-contained creation to vectors that covers very important features, 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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