Integration - A Functional Approach
Bichteler, Klaus
ISBN 10: 3034800541 ISBN 13: 9783034800549
Editorial: Springer Basel, 2010
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Descripción
Descripción:
This volume covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. The integration of functions, as opposed to the measuring of sets, is posited as the main purpose of measure theory. Series: Modern Birkhauser Classics. Num Pages: 197 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 234 x 157 x 12. Weight in Grams: 298. . 2010. 1st ed. 1998. Reprint 2010. Paperback. . . . . Books ship from the US and Ireland. N° de ref. del artículo V9783034800549
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Título: Integration - A Functional Approach
Editorial: Springer Basel
Año de publicación: 2010
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Basel Springer Basel Springer Dez 2010, 2010
ISBN 10: 3034800541
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Taschenbuch. 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. 197 pp. Englisch. Nº de ref. del artículo: 9783034800549
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Integration : A Functional Approach
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Integration - A Functional Approach (Paperback)
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Springer Basel, Basel, 2010
ISBN 10: 3034800541
ISBN 13: 9783034800549
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Paperback. Condición: new. Paperback. 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. This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9783034800549
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Integration - A Functional Approach (Modern Birkh�user Classics)
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Birkh�user 2010-02-12, 2010
ISBN 10: 3034800541
ISBN 13: 9783034800549
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ISBN 10: 3034800541
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Taschenbuch. 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: 9783034800549
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