| 书目名称 | Real Analysis | | 副标题 | Foundations and Func | | 编辑 | Miklós Laczkovich,Vera T. Sós | | 视频video | | | 概述 | Includes insightful historical remarks regarding real analysis.Presents core ideas of analysis “as a way of thinking” as opposed to “a body of facts”.Explains how and why ideas arise, then how they ev | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | .Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated..In the spirit of learning-by-doing, .Real Analysis. includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.. | | 出版日期 | Textbook 2015 | | 关键词 | Fourier series; Stieltjes integral; continuous functions; differentiation; infinite sequences; infinite s | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4939-2766-1 | | isbn_softcover | 978-1-4939-4222-0 | | isbn_ebook | 978-1-4939-2766-1Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer New York 2015 |
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发表于 2025-3-21 16:38:28
