This updated and introductory text approaches integration via measure as opposed to measure via integration, an approach which makes it easier to grasp the subject. Apart from its central importance to pure mathematics, the material is also relevant to applied mathematics and probability, with proof of the mathematics set out clearly and in considerable detail. Numerous worked examples necessary for teaching and learning at undergraduate level constitute a strong feature of the book, and after studying statements of results of the theorems, students should be able to attempt the 300 problem exercises which test comprehension, for which detailed solutions are provided. The book stems from a long-running successful course and presents the knowledge and experience of Dr. de Barra who has long taught and researched measure theory in London University. This 2nd edition has been updated by the attachment of Afternotes indicating how the subject has developed from material in the text, and misprints from the original have now been corrected. The only pre-requisite is a first course in analysis, and what little topology required is developed within the text.
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"…of use to the serious student of measure theory and analysis and useful as a reference. …for the general practitioner." - The Mathematical Gazette
About the Author
Gar De Barra, University of London, UK
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Most Helpful Customer Reviews
0 of 3 people found the following review helpful:
3.0 out of 5 stars
Something new in measure theory here,
A Kid's Review
This review is from: Measure Theory and Integration (Paperback)
The book isn't organized as a teaching text: is is a definition, theorem and proof type structure that is pretty hard reading. I would have given it two stars except for the convergence diagrams which are digraphs showing the connections between types of convergence. I don't know if the author invented it , but it seems to be a new way to visualize sequence convergenceprocesses that I hadn't seen before. He gets low marks for leaving out Hardy, Hilbert and Banach in his discussion of measure spaces. The place of measure in topology is also not well discussed. Lebesque measure ideas and integration theories are well discussed.
1 of 5 people found the following review helpful:
2.0 out of 5 stars
Fatal inaccuracies,
By Matt Westwood (Reading, UK) - See all my reviews
This review is from: Measure Theory and Integration (Paperback)
There's a stupid mistake in the first set of examples on page 16: 1 (vi) should be subset not equality. He also uses seriously non-standard notation for sets and spaces and so on. Don't let it slow you down.
0 of 4 people found the following review helpful:
3.0 out of 5 stars
Something new in measure theory here,
By R. Bagula "Roger L. Bagula" (Lakeside, Ca United States) - See all my reviews (VINE VOICE) (REAL NAME)
This review is from: Measure Theory and Integration (Paperback)
The book isn't organized as a teaching text: is is a definition, theorem and proof type structure that is pretty hard reading. I would have given it two stars except for the convergence diagrams which are digraphs showing the connections between types of convergence. I don't know if the author invented it , but it seems to be a new way to visualize sequence convergenceprocesses that I hadn't seen before. He gets low marks for leaving out Hardy, Hilbert and Banach in his discussion of measure spaces. The place of measure in topology is also not well discussed. Lebesque measure ideas and integration theories are well discussed.
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