Integration - A Functional Approach

Name: Integration - A Functional Approach
Brand: Birkhauser Verlag AG
SKU: 9783764359362
Price: 1310 CZK
Availability: InStock

Autor: Klaus Bichteler

Jazyk:

Vazba: Pevná

Vydavatel: Birkhauser Verlag AG

Dostupnost: Skladem u dodavatele v malém množství

Odesíláme za 11-15 dnů

1 310 Kč

This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified...

Informace o knize

Autor

Klaus Bichteler

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

1998

Stránek

197

EAN

9783764359362

ISBN

3764359366

Enbook ID

02108711

Vydavatel

Birkhauser Verlag AG

Hmotnost

1050

Rozměry

160 x 241 x 17

Kompletní popis

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.§

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