| 书目名称 | Real Analysis via Sequences and Series |
| 编辑 | Charles H.C. Little,Kee L. Teo,Bruce van Brunt |
| 视频video | |
| 概述 | Concepts such as continuity, differentiation and integration, are approached via sequences.Contains carefully selected, clearly explained examples and counterexamples to help the reader understand and |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Textbook 2015 |
| 关键词 | Airy function; Airy‘s equation; Baire‘s theorem; Bolzano-Weierstrass theorem; Cartesian product; Cauchy c |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4939-2651-0 |
| isbn_softcover | 978-1-4939-4181-0 |
| isbn_ebook | 978-1-4939-2651-0Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer Science+Business Media New York 2015 |
发表于 2025-3-21 18:12:02
