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Real Analysis Via Sequences and Series Softcover Repri Edition
Contributor(s): Little, Charles H. C. (Author), Teo, Kee L. (Author), Van Brunt, Bruce (Author)
ISBN: 149394181X     ISBN-13: 9781493941810
Publisher: Springer
OUR PRICE:   $52.24  
Product Type: Paperback - Other Formats
Published: October 2016
Qty:
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.