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General 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

1979-8-31 出版日期

312 页数

USD 53.00 价格

Paperback

丛书系列

9780521297158 图书编码

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发表于2024-11-13

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General 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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This is a sequel to Dr Weir's undergraduate textbook on Lebesgue Integration and Measure (CUP. 1973) in which he provided a concrete approach to the Lebesgue integral in terms of step functions and went on from there to deduce the abstract concept of Lebesgue measure. In this second volume, the treatment of the Lebesgue integral is generalised to give the Daniell integral and the related general theory of measure. This approach via integration of elementary functions is particularly well adapted to the proof of Riesz's famous theorems about linear functionals on the classical spaces C (X) and LP and also to the study of topological notions such as Borel measure. This book will be used for final year honours courses in pure mathematics and for graduate courses in functional analysis and measure theory.

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