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

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David M. Bressoud

Cambridge University Press

2008-1-14

344

USD 122.00

Hardcover

9780521884747

图书标签: 数学数学分析实变函数

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发表于2024-11-27

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

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

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.

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