General Integration and Measure

Weir, Alan J.

ISBN 10: 052129715X / ISBN 13: 9780521297158

Published by Cambridge University Press, 1979

Seller Inventory # E-9780521297158-2-2

Synopsis:

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.

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.

Bibliographic Details

Title: General Integration and Measure
Publisher: Cambridge University Press
Publication Date: 1979
Binding: Soft cover
Condition: Very good