Real Analysis via Sequences and Series Paperback / softback
by Charles H.C. Little, Kee L. Teo, Bruce van Brunt
Part of the Undergraduate Texts in Mathematics series
Paperback / softback
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 p and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.
Information
-
Item not Available
- Format:Paperback / softback
- Pages:476 pages, 4 Tables, black and white; 27 Illustrations, black and white; XI, 476 p. 27 illus.
- Publisher:Springer-Verlag New York Inc.
- Publication Date:09/10/2016
- Category:
- ISBN:9781493941810
Other Formats
- PDF from £13.59
Information
-
Item not Available
- Format:Paperback / softback
- Pages:476 pages, 4 Tables, black and white; 27 Illustrations, black and white; XI, 476 p. 27 illus.
- Publisher:Springer-Verlag New York Inc.
- Publication Date:09/10/2016
- Category:
- ISBN:9781493941810
