| 书目名称 | Understanding Analysis |
| 编辑 | Stephen Abbott |
| 视频video | |
| 概述 | Includes supplementary material: .Request lecturer material: |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .Understanding Analysis. outlines an elementary, one-semester course designed to expose students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on the questions that give analysis its inherent fascination. Does the Cantor set contain any irrational numbers? Can the set of points where a function is discontinuous be arbitrary? Are derivatives continuous? Are derivatives integrable? Is an infinitely differentiable function necessarily the limit of its Taylor series? In giving these topics center stage, the hard work of a rigorous study is justified by the fact that they are inaccessible without it.. |
| 出版日期 | Textbook 20011st edition |
| 关键词 | Taylor series; algebra; boundary element method; convergence; differentiable function; function; functiona |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-21506-8 |
| isbn_ebook | 978-0-387-21506-8Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer Science+Business Media New York 2001 |
发表于 2025-3-21 19:40:39
