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Gerald B. Folland 作者

Mathematical Association of America

译者

2009-7-16 出版日期

107 页数

USD 49.95 价格

Hardcover

丛书系列

9780883853436 图书编码

A Guide to Advanced Real Analysis 在线电子书图书标签: 实分析数学 folland 实分析7 分析 Mathematics Analysis

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A Guide to Advanced Real Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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简洁而丰富，R-K导数这些要到概率论才能理解吗？

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A Guide to Advanced Real Analysis 在线电子书图书描述

This concise guide to real analysis covers the core material of a graduate level real analysis course. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form. The prerequisite is a familiarity with classical real-variable theory.

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