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Integration - A Functional Approach (Birkhäuser Advanced Texts / Basler Lehrbücher) [Hardcover]

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Item description for Integration - A Functional Approach (Birkhäuser Advanced Texts / Basler Lehrbücher) by Klaus Bichteler...

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, defintions, 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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Item Specifications...


Pages   208
Est. Packaging Dimensions:   Length: 9.42" Width: 6.67" Height: 0.62"
Weight:   1.14 lbs.
Binding  Hardcover
Release Date   Jul 1, 1998
Publisher   Birkhäuser Basel
ISBN  3764359366  
ISBN13  9783764359362  


Availability  88 units.
Availability accurate as of Jan 17, 2017 10:25.
Usually ships within one to two business days from La Vergne, TN.
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More About Klaus Bichteler


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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Calculus
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Calculus
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Functional Analysis
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Set Theory
5Books > Subjects > Science > General
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Mathematical Analysis
8Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus
9Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis
10Books > Subjects > Science > Mathematics > Pure Mathematics > Set Theory



Reviews - What do customers think about Integration - A Functional Approach (Birkhäuser Advanced Texts / Basler Lehrbücher)?

at the foundation of mathematics  Oct 24, 2003
i found this book in the basement of the math building, i.e. at the foundation. Get it? pretty clever huh.
 

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