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圖書介紹

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齣版社： Dover Publications

ISBN：9780486635194

商品編碼：1130509136

包裝：平裝

外文名稱：Integral, Measure and ...

齣版時間：2012-05-17

頁數：254

正文語種：英語

圖書描述

圖書基本信息

Integral, Measure and Derivative: A Unified Approach
作者： G. E. Shilov;B. L. Gurevich;
ISBN13： 9780486635194
類型：平裝(簡裝書)
語種：英語（English）
齣版日期： 2012-05-17
齣版社： Dover Publications
頁數： 254
重量（剋）： 226
尺寸： 20.8788 x 14.2748 x 1.27 cm

商品簡介

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.
Integral, Measure and Derivative: A Unifie... 下載 mobi epub pdf txt 電子書格式