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About this product
- Description'A Concise Introduction to the Theory of Integration' was once a best-selling Birkhauser title which published 3 editions. This manuscript is a substantial revision of the material. Chapter one w includes a section about the rate of convergence of Riemann sums. The second chapter w covers both Lebesgue and Berulli measures, whose relation to one ather is discussed. The third chapter w includes a proof of Lebesgue's differential theorem for all motone functions. This is a beautiful topic which is t often covered. The treatment of surface measure and the divergence theorem in the fifth chapter has been improved. Loose ends from the discussion of the Euler-MacLauren in Chapter I are tied together in Chapter seven. Chapter eight has been expanded to include a proof of Caratheory's method for constructing measures; his result is applied to the construction of Hausdorff measures. The new material is complemented by the addition of several new problems based on that material.
- Author BiographyDaniel W. Stroock is now Emeritus professor of the mathematics department at MIT. He is a renowned mathematician in the areas of analysis and probability theory and stochastic processes. Prof. Stroock has had an active career in both the research and administrative levels of academia. From 2002-2006, he was selected the first holder of the second Simons Professorship of Mathematics. He has served as Chair of the Pure Math Committee from 1995-1997; a board member of the National Research Council. He has also chaired various committees of the AMS and was a nominee for AMS President in 1999. In 1996, the AMS awarded Dan Stroock (jointly with S. Varadhan), the Leroy P. Steele Prtize for his seminal contributions to research in stochastic equations. Prof. Stroock is a member of both the American Academy of Arts and Sciences and the National Academy of Sciences.
- Author(s)Daniel W. Stroock
- PublisherSpringer-Verlag New York Inc.
- Date of Publication24/10/2013
- Series TitleGraduate Texts in Mathematics
- Series Part/Volume Number262
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Notebiography
- Weight397 g
- Width155 mm
- Height235 mm
- Spine14 mm
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