Measure, Integral, Derivative : A Course on Lebesgue's Theory
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The work Measure, Integral, Derivative : A Course on Lebesgue's Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Measure, Integral, Derivative : A Course on Lebesgue's Theory
Resource Information
The work Measure, Integral, Derivative : A Course on Lebesgue's Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Measure, Integral, Derivative : A Course on Lebesgue's Theory
 Title remainder
 A Course on Lebesgue's Theory
 Statement of responsibility
 by Sergei Ovchinnikov
 Language

 eng
 eng
 Summary
 This classroomtested text is intended for a onesemester course in Lebesgue’s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upperundergraduate and lowergraduatelevel students. The three main topics presented are measure, integration, and differentiation, and the only prerequisite is a course in elementary real analysis. In order to keep the book selfcontained, an introductory chapter is included with the intent to fill the gap between what the student may have learned before and what is required to fully understand the consequent text. Proofs of difficult results, such as the differentiability property of functions of bounded variations, are dissected into small steps in order to be accessible to students. With the exception of a few simple statements, all results are proven in the text. The presentation is elementary, where σalgebras are not used in the text on measure theory and Dini’s derivatives are not used in the chapter on differentiation. However, all the main results of Lebesgue’s theory are found in the book
 Dewey number
 515/.83
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 bjpdsHLWcdI
 Image bit depth
 0
 Language note
 English
 LC call number
 QA312312.5
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
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