انتگرال لبگ: تفاوت میان نسخه‌ها

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جزبدون خلاصۀ ویرایش
Rezabot (بحث | مشارکت‌ها)
جز برداشتن ویکی‌سازی Lwów > تغییرمسیر نامشابه است (۱۰.۱ core) 0.25
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* {{cite book|last=Rudin|first=Walter|title=Real and complex analysis|publisher=McGraw-Hill Book Co.|location=New York|year=1966|pages=xi+412|mr=0210528}} Known as ''Big Rudin''. A complete and careful presentation of the theory. Good presentation of the Riesz extension theorems. However, there is a minor flaw (in the first edition) in the proof of one of the extension theorems, the discovery of which constitutes exercise 21 of Chapter 2.
* {{Cite journal|last=Saks|first=Stanisław|author-link=Stanislaw Saks|year=1937|title=Theory of the Integral|url=https://archive.org/details/theoryoftheinteg032192mbp|series=[http://matwbn.icm.edu.pl/ksspis.php?wyd=10&jez=pl Monografie Matematyczne]|edition=2nd|publisher=G.E. Stechert & Co.|volume=7|pages=VI+347|jfm=63.0183.05|zbl=0017.30004|postscript=<!--None-->|place=[[Warszawa]]-[[ Lwów]] }}. English translation by [[Laurence Chisholm Young]], with two additional notes by [[Stefan Banach]].
 
* {{cite book|last=Shilov|first=G. E.|last2=Gurevich|first2=B. L.|title=Integral, measure and derivative: a unified approach. Translated from the Russian and edited by Richard A. Silverman|series=Dover Books on Advanced Mathematics|publisher=Dover Publications Inc.|location=New York|year=1977|pages=xiv+233|isbn=0-486-63519-8|nopp=true|mr=0466463}} Emphasizes the [[Daniell integral]].