Real Analysis Via Sequences and Series Softcover Repri Edition Contributor(s): Little, Charles H. C. (Author), Teo, Kee L. (Author), Van Brunt, Bruce (Author) |
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ISBN: 149394181X ISBN-13: 9781493941810 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: October 2016 |
Additional Information |
BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Infinity |
Dewey: 515.24 |
Series: Undergraduate Texts in Mathematics |
Physical Information: 0.99" H x 6.14" W x 9.21" (1.50 lbs) 476 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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 π and e and a treatment of Newton's method as a special instance of finding fixed points of iterated functions. |