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图书基本信息

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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