| 书目名称 | Introduction to Measure Theory and Integration |
| 编辑 | Luigi Ambrosio,Giuseppe Prato,Andrea Mennucci |
| 视频video | |
| 概述 | Good choice of exercises, supplemented with solutions.Modern view point on measure theory and integration.Classical results and proofs |
| 丛书名称 | Publications of the Scuola Normale Superiore |
| 图书封面 |  |
| 描述 | This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point of view on measure theory and integration, putting Lebesgue‘s Euclidean space theory into a more general context and presenting the basic applications to Fourier series, calculus and real analysis. The text can also pave the way to more advanced courses in probability, stochastic processes or geometric measure theory.Prerequisites for the book are a basic knowledge of calculus in one and several variables, metric spaces and linear algebra.All results presented here, as well as their proofs, are classical. The authors claim some originality only in the presentation and in the choice of the exercises. Detailed solutions to the exercises are provided in the final part of the book. |
| 出版日期 | Textbook 2011 |
| 关键词 | Fourier series; calculus; measure theory; real analysis; space theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-88-7642-386-4 |
| isbn_ebook | 978-88-7642-386-4Series ISSN 2239-1460 Series E-ISSN 2532-1668 |
| issn_series | 2239-1460 |
| copyright | Scuola Normale Superiore Pisa 2011 |
发表于 2025-3-21 19:12:13
