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Field name	Details
Dewey Class	515
Title	Essentials of Integration Theory for Analysis ([EBook]) / by Daniel W. Stroock.
Author	Stroock, Daniel W.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2011.
Physical Details	XI, 243 pages : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 262
ISBN	9781461411352
Summary Note	Essentials of Integration Theory for Analysis is a substantial revision of the best-selling BirkhÃ¤user title by the same author, Â 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 EulerâMacLauren formula. Â In Chapter 2, where Lebesqueâs theory is introduced, a construction of the countably additive measure is done with sufficient generality to cover both Lebesque and BernoulliÂ measures. Chapter 3 includes a proof of Lebesqueâs differential theorem for all monotone functions and the concluding chapter has been expanded to include a proof of CarathÃ©oryâsÂ 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 one-semester graduate course in integration theory and is complimented by the addition of several problems related to the new material. Â The text is also highly useful for self-study. A complete solutions manual is available for instructors who adopt the text for their courses. Additional publications by Daniel W. Stroock:Â An Introduction to Markov Processes,Â Â©2005 Springer (GTM 230), ISBN: 978-3-540-23499-9; A Concise Introduction to the Theory of Integration, Â© 1998 BirkhÃ¤user Boston, ISBN: 978-0-8176-4073-6;Â (with S.R.S. Varadhan) Multidimensional Diffusion Processes, Â© 1979 Springer (Classics in Mathematics), ISBN: 978-3-540-28998-2.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-1135-2
Links to Related Works	Subject References: Analysis . Global analysis (Mathematics) . Mathematics . Real Functions . Authors: Stroock, Daniel W. . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 515 .

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Essentials of Integration Theory for Analysis

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