Articles liés à Integration: A Functional Approach
Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Klaus Bichteler is a Professor of mathematics at the University of Texas.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhauser Verlag AG
- Date d'édition1998
- ISBN 10 3764359366
- ISBN 13 9783764359362
- ReliureRelié
- Langueanglais
- Nombre de pages197
- Coordonnées du fabricantnon disponible
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Integration - A Functional Approach
Edité par
Springer Basel AG, 1998
ISBN 10 : 3764359366
ISBN 13 : 9783764359362
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Etat : Very Good. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. N° de réf. du vendeur GRP102637046
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Integration - a Functional Approach (Birkhäuser Advanced Texts Basler Lehrbücher)
Edité par
Birkhäuser, Basel, 1998
ISBN 10 : 3764359366
ISBN 13 : 9783764359362
Ancien ou d'occasion
Couverture rigide
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Vendeur : Literary Cat Books, Machynlleth, Powys, WALES, Royaume-Uni
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Original printed boards. Etat : Very Good+. Etat de la jaquette : No Dust Jacket. First Edition. Original green printed boards. With plain sticker on rear pastedown. Slight shelfwear. ; 16.3x23.3x1.5 cm; 193 pages. N° de réf. du vendeur LCB61288
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Integration - A Functional Approach
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Integration - A Functional Approach
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Buch. Etat : 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. N° de réf. du vendeur 9783764359362
Quantité disponible : 1 disponible(s)
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Integration - A Functional Approach
Edité par
Springer Basel Mai 1998, 1998
ISBN 10 : 3764359366
ISBN 13 : 9783764359362
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : 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. N° de réf. du vendeur 9783764359362
Quantité disponible : 2 disponible(s)
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Integration - A Functional Approach (Birkhäuser Advanced Texts Basler Lehrbücher)
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9783764359362
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Integration - A Functional Approach
Edité par
Springer Basel, Springer Basel Mai 1998, 1998
ISBN 10 : 3764359366
ISBN 13 : 9783764359362
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : 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. N° de réf. du vendeur 9783764359362
Quantité disponible : 2 disponible(s)
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Integration - A Functional Approach (Birkhäuser Advanced Texts Basler Lehrbücher)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Integration - A Functional Approach
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Etat : New. pp. 212. N° de réf. du vendeur 26466549
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Integration - A Functional Approach
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Etat : New. Print on Demand pp. 212 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. N° de réf. du vendeur 7381418
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