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.
Rezensionen / Stimmen
...of use to the serious student of measure theory and analysis and useful as a reference. ...for the general practitioner., The Mathematical Gazette
Auflage
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Gewicht
ISBN-13
978-1-904275-04-6 (9781904275046)
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Schweitzer Klassifikation
Gar De Barra, University of London, UK
Autor*in
University of London, UK
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.
