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- DescriptionThis classroom-tested text is intended for a one-semester course in Lebesgue's theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both 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 t used in the text on measure theory and Dini's derivatives are t used in the chapter on differentiation. However, all the main results of Lebesgue's theory are found in the book. http://online.sfsu.edu/sergei/MID.htm
- Author BiographySergei Ovchinnikov is currently Professor of Mathematics at San Francisco State University.
- Author(s)Sergei Ovchinnikov
- PublisherSpringer-Verlag New York Inc.
- Date of Publication30/04/2013
- Series TitleUniversitext
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Note16 black & white illustrations, biography
- Weight248 g
- Width156 mm
- Height234 mm
- Spine8 mm
- Format DetailsTrade paperback (US)
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