A Radical Approach to Lebesgue's Theory of Integration 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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David M. Bressoud 作者

Cambridge University Press

译者

2008-1-14 出版日期

344 页数

USD 122.00 价格

Hardcover

丛书系列

9780521884747 图书编码

A Radical Approach to Lebesgue's Theory of Integration 在线电子书图书标签: 数学数学分析实变函数

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A Radical Approach to Lebesgue's Theory of Integration 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

A Radical Approach to Lebesgue's Theory of Integration 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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A Radical Approach to Lebesgue's Theory of Integration 在线电子书著者简介

A Radical Approach to Lebesgue's Theory of Integration 在线电子书图书目录

A Radical Approach to Lebesgue's Theory of Integration 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

A Radical Approach to Lebesgue's Theory of Integration 在线电子书图书描述

Meant for advanced undergraduate and graduate students in mathematics, this lively introduction to measure theory and Lebesgue integration is rooted in and motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were encountered as these ideas were refined. The story begins with Riemann's definition of the integral, a definition created so that he could understand how broadly one could define a function and yet have it be integrable. The reader then follows the efforts of many mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work in the late 19th and early 20th centuries of Jordan, Borel, and Lebesgue, who finally broke with Riemann's definition. Ushering in a new way of understanding integration, they opened the door to fresh and productive approaches to many of the previously intractable problems of analysis.

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