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Real analysis via sequences and series

Author: Charles H C Little; Kee L Teo; B Van Brunt
Publisher: New York : Springer, [2015] ©2015
Series: Undergraduate texts in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis's formula and Stirling's formula, proofs of the irrationality of Ï and e and a treatment of  Read more...

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Document Type: Book
All Authors / Contributors: Charles H C Little; Kee L Teo; B Van Brunt
ISBN: 9781493926503 1493926500
OCLC Number: 904459890
Description: xi, 476 pages : illustrations ; 25 cm.
Contents: Preface --
1. Introduction --
2. Sequences --
3. Series --
4. Limits of Functions --
5. Continuity --
6. Differentiability --
7. The Riemann Integral --
8. Taylor Polynomials and Taylor Series --
9. The Fixed Point Problem --
10. Sequences of Functions --
Bibliography --
Index.
Series Title: Undergraduate texts in mathematics.
Responsibility: Charles H.C. Little, Kee L. Teo, Bruce van Brunt.

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"The list of main topics covered is quite standard: sequences, series, limits, continuity, differentiation, Riemann integration, uniform convergence ... . This is a well-written textbook with an Read more...

 
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