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Measure theory and Integration, by G. De Barra
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This text approaches integration via measure theory as opposed to measure theory 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 and for which detailed solutions are provided.Approaches integration via measure theory, as opposed to measure theory via integration, making it easier to understand the subjectIncludes numerous worked examples necessary for teaching and learning at undergraduate levelDetailed solutions are provided for the 300 problem exercises which test comprehension of the theorems provided
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Product details
Paperback: 240 pages
Publisher: Woodhead Publishing; 2 edition (July 15, 2003)
Language: English
ISBN-10: 1904275044
ISBN-13: 978-1904275046
Product Dimensions:
6 x 0.5 x 9 inches
Shipping Weight: 14.1 ounces (View shipping rates and policies)
Average Customer Review:
2.5 out of 5 stars
2 customer reviews
Amazon Best Sellers Rank:
#1,416,303 in Books (See Top 100 in Books)
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 topologyis also not well discussed. Lebesque measure ideas and integration theoriesare well discussed.
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.
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