Essentials of Integration Theory for Analysis
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The work Essentials of Integration Theory for Analysis 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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Essentials of Integration Theory for Analysis
Resource Information
The work Essentials of Integration Theory for Analysis 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
 Essentials of Integration Theory for Analysis
 Statement of responsibility
 by Daniel W. Stroock
 Language

 eng
 eng
 Summary
 Essentials of Integration Theory for Analysis is a substantial revision of the bestselling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration. Highlights of this new textbook for the GTM series include revisions to Chapter 1 which add a section about the rate of convergence of Riemann sums and introduces a discussion of the Euler–MacLauren formula. In Chapter 2, where Lebesque’s theory is introduced, a construction of the countably additive measure is done with sufficient generality to cover both Lebesque and Bernoulli measures. Chapter 3 includes a proof of Lebesque’s differential theorem for all monotone functions and the concluding chapter has been expanded to include a proof of Carathéory’s method for constructing measures and his result is applied to the construction of the Hausdorff measures. This new gem is appropriate as a text for a onesemester graduate course in integration theory and is complimented by the addition of several problems related to the new material. The text is also highly useful for selfstudy. A complete solutions manual is available for instructors who adopt the text for their courses. Additional publications by Daniel W. Stroock: An Introduction to Markov Processes, ©2005 Springer (GTM 230), ISBN: 9783540234999; A Concise Introduction to the Theory of Integration, © 1998 Birkhäuser Boston, ISBN: 9780817640736; (with S.R.S. Varadhan) Multidimensional Diffusion Processes, © 1979 Springer (Classics in Mathematics), ISBN: 9783540289982
 Dewey number
 515/.42
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 UzUEe3nI0Rg
 Language note
 English
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Graduate Texts in Mathematics,
 Series volume
 262
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