Real Analysis via Sequences and Series
Language: English
Published by Springer-Verlag New York Inc., US, 2016
Series: Book 143 of 170 - Undergraduate Texts in Mathematics
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
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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. Softcover reprint of the original 1st ed. 2015.
Seller Inventory # LU-9781493941810
- Title
- Real Analysis via Sequences and Series
- Author
- Charles H.C. Little, Kee L. Teo, Bruce van Brunt
- Publisher
- Springer-Verlag New York Inc., US
- Publication year
- 2016
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 149394181X
- ISBN 13
- 9781493941810
- Series
- Book 143 of 170: Undergraduate Texts in Mathematics
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.
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