General Integration & Measure by Alan J. Weir
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General Integration & Measure
By Alan J. Weir

General Integration & Measure

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Format: Paperback

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General Integration & Measure by Alan J. Weir

Book Description

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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Book Details

ISBN: 9780521297158
ISBN-10: 052129715X
Format: Paperback
(228mm x 152mm x 18mm)
Pages: 312
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 16-Aug-1979
Country of Publication: United Kingdom

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Books By Author Alan J. Weir

Lebesgue Integration and Measure by Alan J. Weir Lebesgue Integration and Measure, Paperback (May 1973)

This text 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.

» View all books by Alan J. Weir

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