Real Analysis via Sequences and Series (Paperback, Softcover reprint of the original 1st ed. 2015)

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis's formula and Stirling's formula, proofs of the irrationality of and e and a treatment of Newton's method as a special instance of finding fixed points of iterated functions.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Undergraduate Texts in Mathematics
Release date:	October 2016
First published:	2015
Authors:	Charles H. C. Little • Kee L. Teo • Bruce Van Brunt
Dimensions:	235 x 155 x 25mm (L x W x T)
Format:	Paperback
Pages:	476
Edition:	Softcover reprint of the original 1st ed. 2015
ISBN-13:	978-1-4939-4181-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	1-4939-4181-X
Barcode:	9781493941810

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