By Louis Brand

ISBN-10: 0486445488

ISBN-13: 9780486445489

A direction 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 fundamental recommendations of their easiest environment and illustrates its teachings with various examples, functional theorems, and coherent proofs.
Starting with the constitution of the process of actual and complicated 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 short and self-contained advent to vectors that covers very important elements, together with gradients, divergence, and rotation. a complete bankruptcy is dedicated to the reversal of order in proscribing methods, 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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