Integral, Measure and Derivative: A Unifie... pdf epub mobi txt 电子书 下载 2024

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Integral, Measure and Derivative: A Unifie...

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G E Shilov & B L Gurev... 著



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出版社: Dover Publications
ISBN:9780486635194
商品编码:1130509136
包装:平装
外文名称:Integral, Measure and ...
出版时间:2012-05-17
页数:254
正文语种:英语

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Integral, Measure and Derivative: A Unifie... epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

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Integral, Measure and Derivative: A Unified Approach
作者: G. E. Shilov;B. L. Gurevich;
ISBN13: 9780486635194
类型: 平装(简装书)
语种: 英语(English)
出版日期: 2012-05-17
出版社: Dover Publications
页数: 254
重量(克): 226
尺寸: 20.8788 x 14.2748 x 1.27 cm

商品简介
This graduate-level textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. "The exposition is fresh and sophisticated," declared Sci-Tech Book News, "and will engage the interest of accomplished mathematicians."
Part one is devoted to the integral, moving from the Reimann integral and step functions to a general theory, and obtaining the "classical" Lebesgue integral in n space. Part two constructs the Lebesgue-Stieltjes integral through the Daniell scheme using the Reimann-Stieltjes integral as the elementary integral. Part three develops theory of measure with the general Daniell scheme, and the final part is devoted to the theory of the derivative.
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