It takes the average reader 3 hours and 22 minutes to read Integration - A Functional Approach by Klaus Bichteler
Assuming a reading speed of 250 words per minute. Learn more
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.
Integration - A Functional Approach by Klaus Bichteler is 197 pages long, and a total of 50,629 words.
This makes it 66% the length of the average book. It also has 62% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 36 minutes to read Integration - A Functional Approach aloud.
Integration - A Functional Approach is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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