Integration - a Functional Approach (Birkhäuser Advanced Texts Basler Lehrbücher)

Bichteler, Klaus

ISBN 10: 3764359366 ISBN 13: 9783764359362
Published by Birkhäuser, Basel, 1998
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Original green printed boards. With plain sticker on rear pastedown. Slight shelfwear. ; 16.3x23.3x1.5 cm; 193 pages. Seller Inventory # LCB61288

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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.

About the Author: Klaus Bichteler is a Professor of mathematics at the University of Texas.

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Title: Integration - a Functional Approach (...
Publisher: Birkhäuser, Basel
Publication Date: 1998
Binding: Original printed boards
Condition: Very Good+
Dust Jacket Condition: No Dust Jacket
Edition: First Edition.

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Klaus Bichteler
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Buch. Condition: 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. Seller Inventory # 9783764359362

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Klaus Bichteler
Published by Springer Basel Mai 1998, 1998
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Buch. Condition: 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. Seller Inventory # 9783764359362

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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. 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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 212 pp. Englisch. Seller Inventory # 9783764359362

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Condition: New. 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: Birkhauser Advanced Texts / Basler Lehrbucher. Num Pages: 205 pages, biography. BIC Classification: PBKS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 12. Weight in Grams: 476. . 1998. 1998th Edition. hardcover. . . . . Seller Inventory # V9783764359362

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