このページのリンク

<電子ブック>
Real Analysis via Sequences and Series / by Charles H.C. Little, Kee L. Teo, Bruce van Brunt
(Undergraduate Texts in Mathematics. ISSN:21975604)

1st ed. 2015.
出版者 New York, NY : Springer New York : Imprint: Springer
出版年 2015
本文言語 英語
大きさ XI, 476 p. 27 illus : online resource
著者標目 *Little, Charles H.C author
Teo, Kee L author
van Brunt, Bruce author
SpringerLink (Online service)
件 名 LCSH:Functions of real variables
LCSH:Sequences (Mathematics)
FREE:Real Functions
FREE:Sequences, Series, Summability
一般注記 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
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
HTTP:URL=https://doi.org/10.1007/978-1-4939-2651-0
目次/あらすじ

所蔵情報を非表示

電子ブック オンライン 電子ブック


Springer eBooks 9781493926510
電子リソース
EB00228421

書誌詳細を非表示

データ種別 電子ブック
分 類 LCC:QA331.5
DC23:515.8
書誌ID 4000120277
ISBN 9781493926510

 類似資料