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

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By Louis Brand

A path in research that makes a speciality of the capabilities of a true variable, this article is aimed toward upper-level undergraduate scholars. It introduces the elemental recommendations of their least difficult atmosphere and illustrates its teachings with a number of examples, useful theorems, and coherent proofs.
Starting with the constitution of the procedure of actual and intricate numbers, the textual content bargains 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 advent to vectors that covers very important features, together with gradients, divergence, and rotation. a complete bankruptcy is dedicated to the reversal of order in restricting methods, 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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