Measure theory and integration
著者
書誌事項
Measure theory and integration
Woodhead, 2011, c2003
[2nd ed.]
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注記
"First published, 1981. Updated edition published by Horwood Publishing Limited, 2003."--T.p. verso
Bibliography: p. 236
Includes index
内容説明・目次
内容説明
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.
目次
- Measure on the real line
- Integration of functions of a real variable
- Differentiation
- Abstract measure spaces
- Inequalities and the Lp spaces
- Convergence
- Signed measures and their derivatives
- Lebesgue-stieljes integration
- Measure and integration in a product space
- Hints and answers to exercises
- References.
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