Download EBOOK Integral Measure and Derivative: A Unified Approach PDF for free
 
Category: Technology & Engineering
The author of the book: Georgi E. Shilov
Format files: PDF, EPUB, TXT, DOCX
The size of the: 915 KB
Language: English
ISBN13: 9780486635194
Edition: Dover Publications Inc.
Date of issue: 17 May 2012

Description of the book "Integral Measure and Derivative: A Unified Approach":
This graduatelevel textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. "The exposition is fresh and sophisticated," declared "SciTech Book News, " "and will engage the interest of accomplished mathematicians."
Part one is devoted to the integral, moving from the Reimann integral and step functions to a general theory, and obtaining the "classical" Lebesgue integral in "n" space. Part PDF two constructs the LebesgueStieltjes integral through the Daniell scheme using the ReimannStieltjes integral as the elementary integral. Part three develops theory of measure with the general Daniell scheme, and the final part is devoted to the theory of the derivative.
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Georgi E. Shilov
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