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03089nam a22004575i 4500 |
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|a 9781461411352
|9 978-1-4614-1135-2
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|a 10.1007/978-1-4614-1135-2
|2 doi
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|a QA299.6-433
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|a MAT034000
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|a Stroock, Daniel W.
|e author.
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|a Essentials of Integration Theory for Analysis
|h [electronic resource] /
|c by Daniel W. Stroock.
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|a New York, NY :
|b Springer New York,
|c 2011.
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|a XII, 244 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a text file
|b PDF
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|a Graduate Texts in Mathematics,
|x 0072-5285 ;
|v 262
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|a Essentials of Integration Theory for Analysis is a substantial revision of the best-selling 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 one-semester 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 self-study. 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: 978-3-540-23499-9; A Concise Introduction to the Theory of Integration, © 1998 Birkhäuser Boston, ISBN: 978-0-8176-4073-6; (with S.R.S. Varadhan) Multidimensional Diffusion Processes, © 1979 Springer (Classics in Mathematics), ISBN: 978-3-540-28998-2.
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|a Mathematics.
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|a Mathematical analysis.
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|a Analysis (Mathematics).
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|a Functions of real variables.
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|a Mathematics.
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|a Analysis.
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|a Real Functions.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9781461411345
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|a Graduate Texts in Mathematics,
|x 0072-5285 ;
|v 262
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|u http://dx.doi.org/10.1007/978-1-4614-1135-2
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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