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General Integration and Measure : Integration and Measure - Alan J. Weir

General Integration and Measure

Integration and Measure

Paperback

Published: 15th October 1979
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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.

Preface
General Integration
Lebesgue-Stieltjes integrals and measures
The Riesz representation theorem
General measures
The classical approach
Uniqueness and approximation theorems
Product measures
Borel measures
Real and complex measures
The Radon-Nikodym theorem
Appendix
Solutions
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521297158
ISBN-10: 052129715X
Series: Integration and Measure
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 312
Published: 15th October 1979
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.78
Weight (kg): 0.46