measure,integral,derivative - Universitext Sergei...
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Preview this item Preview this item. Series: Universitext. With over exercises, the texttakes an elementary approach, making iteasily accessible toboth upper-undergraduate- and lower-graduate-level 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 self-contained, 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 [sigma]-algebras are not used in the text on measure theory and Dini's derivatives are not used in the chapter on differentiation.
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However, all the main results of Lebesgue's theory are found in the book. Read more Show all links.
Allow this favorite library to be seen by others Keep this favorite library private. Find a copy in the library Finding libraries that hold this item Featuring over exercises, this text for a one-semester course in Lebesgue's theory takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level students. Reviews Editorial reviews. Publisher Synopsis From the reviews:"It is accessible to upper-undergraduate and lower graduate level students, and the only prerequisite is a course in elementary real analysis.
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This classroom-tested text is intended for a one-semester course in Lebesgue's theory. Lebesgue integral. Similar Items. Table of contents Contributor biographical information Publisher description. Armonic functions Contour integrals. Cauchy's Theorem. Cauchy's integral formula.
Measure, integral, derivative - CERN Document Server
Maximum modulus theorem. Liouville's theorem. Morera theorem. Series representation of analytic functions. Taylor's theorem. Laurent's series and classification of singularities Calculus of residues. The residue theorem. Application in evaluation of integrals on the real line and Principal Value.
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Measure, Integral, Derivative
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- measure,integral,derivative - Universitext Sergei....
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