Integration - A Functional Approach (Hardcover)
Klaus Bichteler
ISBN 10: 3764359366 ISBN 13: 9783764359362
Editorial: Birkhauser Verlag AG, Basel, 1998
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Descripción
Descripción:
Hardcover. This text covers Lebesgue integration and its generalizations from Daniell's point of view modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory in the book. It is intended for the reader who has some experience with proofs, and for those confronted with situations such as stochastic integration - where the set-measuring approach to integration does not work. The book covers Lebesque integration and its generalisations from Daniell's point of view, modified by the use of seminorms. It gives motivations for the constructions, procedures, and definitions employed in measure theory, rather than confronting the reader with formal definitions. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de ref. del artículo 9783764359362
Sinopsis:
This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory.
From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further.
The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work.
Acerca del autor: Klaus Bichteler is a Professor of mathematics at the University of Texas.
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Detalles bibliográficos
Título: Integration - A Functional Approach (...
Editorial: Birkhauser Verlag AG, Basel
Año de publicación: 1998
Encuadernación: Hardcover
Condición: new
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ISBN 13: 9783764359362
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Springer Basel Mai 1998, 1998
ISBN 10: 3764359366
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory. From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further. The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work. 212 pp. Englisch. Nº de ref. del artículo: 9783764359362
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Integration - A Functional Approach
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory. From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further. The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work. Nº de ref. del artículo: 9783764359362
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Integration - A Functional Approach
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Springer Basel, Springer Basel Mai 1998, 1998
ISBN 10: 3764359366
ISBN 13: 9783764359362
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Buch. Condición: Neu. Neuware -This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory.From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further.The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work. 212 pp. Englisch. Nº de ref. del artículo: 9783764359362
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Birkhäuser, Basel, 1998
ISBN 10: 3764359366
ISBN 13: 9783764359362
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