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Lebesgue Integration and Measure 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Alan J. Weir 作者

Cambridge University Press

译者

1973-06-29 出版日期

296 页数

USD 53.00 价格

Paperback

丛书系列

9780521097512 图书编码

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Lebesgue Integration and Measure 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later. The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate; notes on the solutions are given.

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