Dekorationsartikel gehören nicht zum Leistungsumfang.
Integration - A Functional Approach
Buch von Klaus Bichteler
Sprache: Englisch

54,45 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Kategorien:
Beschreibung
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. 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.
Über den Autor
Klaus Bichteler is a Professor of mathematics at the University of Texas.
Zusammenfassung

Complete and rapid introduction to Lebesgue integration and its generalization

Unusually detailed discussion of Percy Daniell's functional analytic approach to integration

Complemented by interesting historical notes and motivations

Provides numerous exercises and solutions / hints for selected problems

Includes supplementary material: [...]

Inhaltsverzeichnis
Review.- Extension of the Integral.- Measurability.- The Classical Banach Spaces.- Operations on Measures.- Answers to Selected Problems.
Details
Erscheinungsjahr: 1998
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
Seiten: 212
Reihe: Birkhäuser Advanced Texts Basler Lehrbücher
ISBN-13: 9783764359362
ISBN-10: 3764359366
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Bichteler, Klaus
Auflage: 1998
Hersteller: Springer Basel
Birkhäuser Advanced Texts Basler Lehrbücher
Maße: 241 x 160 x 17 mm
Von/Mit: Klaus Bichteler
Erscheinungsdatum: 19.05.1998
Gewicht: 0,489 kg
preigu-id: 106809548
Über den Autor
Klaus Bichteler is a Professor of mathematics at the University of Texas.
Zusammenfassung

Complete and rapid introduction to Lebesgue integration and its generalization

Unusually detailed discussion of Percy Daniell's functional analytic approach to integration

Complemented by interesting historical notes and motivations

Provides numerous exercises and solutions / hints for selected problems

Includes supplementary material: [...]

Inhaltsverzeichnis
Review.- Extension of the Integral.- Measurability.- The Classical Banach Spaces.- Operations on Measures.- Answers to Selected Problems.
Details
Erscheinungsjahr: 1998
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
Seiten: 212
Reihe: Birkhäuser Advanced Texts Basler Lehrbücher
ISBN-13: 9783764359362
ISBN-10: 3764359366
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Bichteler, Klaus
Auflage: 1998
Hersteller: Springer Basel
Birkhäuser Advanced Texts Basler Lehrbücher
Maße: 241 x 160 x 17 mm
Von/Mit: Klaus Bichteler
Erscheinungsdatum: 19.05.1998
Gewicht: 0,489 kg
preigu-id: 106809548
Warnhinweis