| 书目名称 | Postmodern Analysis | | 编辑 | Jürgen Jost | | 视频video | | | 概述 | A very streamlined text on mathematical analysis at the "advanced calculus" level, particularly adapted in the need of those going on to applications in physics | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | What is the title of this book intended to signify, what connotations is the adjective "Postmodern" meant to carry? A potential reader will surely pose this question. To answer it, I should describe what distinguishes the approach to analysis presented here from what has been called "Modern Analysis" by its protagonists. "Modern Analysis" as represented in the works of the Bour baki group or in the textbooks by Jean Dieudonne is characterized by its systematic and axiomatic treatment and by its drive towards a high level of abstraction. Given the tendency of many prior treatises on analysis to degen erate into a collection of rather unconnected tricks to solve special problems, this definitively represented a healthy achievement. In any case, for the de velopment of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solelyon the internal problems and structures and to neglect the relations to other fields of scientific, even of mathematical study for a certain while. Almost complete isolation may be required to reach the level of intellectual elegance and perfection that only a good mathematical theory can acquire. However, once this level has | | 出版日期 | Textbook 19981st edition | | 关键词 | Banach Space; Eigenvalue; Implicit function; Laplace operator; Lebesgue integration; banach spaces; calcul | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-03635-8 | | isbn_ebook | 978-3-662-03635-8Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag Berlin Heidelberg 1998 |
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发表于 2025-3-21 17:58:50
