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General Integration & Measure

General Integration & Measure

Paperback

AlgebraCalculusGeneral Mathematics

ISBN10: 052129715X
ISBN13: 9780521297158
Publisher: Cambridge University Press
Published: Aug 16 1979
Pages: 312
Weight: 1.01
Height: 0.70 Width: 6.00 Depth: 9.00
Language: English
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.

Also from

Weir, A. J.

Also in

Calculus