Measure and Integration An Advanced Course in Basic Procedures and Applications (Lecture Notes in Mathematics) Tapa dura - 2000
de Heinz König
Descripción de contraportada
This book sets out to restructure certain fundamentals in measure and integration theory, and thus to fee the theory from some notorious drawbacks. It centers around the ubiquitous task of producing appropriate contents and measures from more primitive data, in order to extend elementary contents and to represent elementary integrals. This task has not been met with adequate unified means so far. The traditional main tools, the Carath�odory and Daniell-Stone theorems, are too restrictive and had to be supplemented by other ad-hoc procedures. Around 1970 a new approach emerged, based on the notion of regularity, which in traditional measure theory is linked to topology. The present book develops the new approach into a systematic theory. The theory unifies the entire context and is much more powerful than the former means. It has striking implications all over measure theory and beyond. Thus it extends the Riesz representation theorem in terms of Randon measures from locally compact to arbitrary Hausdorff topological spaces. It furthers the methodical unification with non-additive set functions, as shown in natural extensions of the Choquet capacitability theorem. The presentation of this research monograph is self-contained, and starts from the beginning. It is addressed to research workers in mathematical analysis and in applications like mathematical economics, and in particular for university teachers in measure and integration theory. The corrected, second printing includes required corrections and appropriate small alterations of the text and a list of the subsequent articles by the author.
Detalles
- Título Measure and Integration An Advanced Course in Basic Procedures and Applications (Lecture Notes in Mathematics)
- Autor Heinz König
- Encuadernación Tapa dura
- Páginas 260
- Idioma ENG
- Editorial Springer, Berlin
- Fecha de publicación August 23, 2000
- Features Illustrated
- ISBN 9783540618584
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Measure and Integration : An Advanced Course in Basic Procedures and Applications
de Heinz König
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Measure and Integration: An Advanced Course in Basic Procedures and Applications
de Heinz Konig
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- Tapa dura
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- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9783540618584 / 3540618589
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Measure and Integration: An Advanced Course in Basic Procedures and Applications
de König, Heinz
- Nuevo
- Tapa dura
- Estado
- New
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9783540618584 / 3540618589
- Cantidad disponible
- 5
- Librería
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campbelltown, Florida, United States
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EUR 136.05EUR 14.17 enviando a USA