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003 OCoLC
005 20230113054233.0
006 m o d
007 cr cnu---unuuu
008 130514s2013 nyu ob 001 0 eng d
019 1026463134|a1066475491|a1086428877|a1110808430|a1112539369
020 9781461471967|q(electronic book)
020 1461471966|q(electronic book)
020 1461471958|q(print)
020 9781461471950|q(print)
024 7 10.1007/978-1-4614-7196-7|2doi
035 (OCoLC)842882451|z(OCoLC)1026463134|z(OCoLC)1066475491
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037 |bSpringer
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049 RIDW
050 4 QA312|b.O93 2013
066 |c(S
072 7 PBKL|2bicssc
072 7 MAT034000|2bisacsh
082 04 515/.43|223
090 QA312|b.O93 2013
100 1 Ovchinnikov, Sergeĭ.|0https://id.loc.gov/authorities/names
/no2008058219
245 10 Measure, integral, derivative :|ba course on Lebesgue's
theory /|cSergei Ovchinnikov.
264 1 New York, NY :|bSpringer,|c[2013]
264 4 |c©2013
300 1 online resource.
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
340 |gpolychrome|2rdacc
347 |bPDF
347 text file
490 1 Universitext,|x0172-5939
504 Includes bibliographical references and index.
505 00 |tPreliminaries --|tLebesgue Measure --|tLebesgue
Integration --|tDifferentiation and Integration.
520 This classroom-tested text is intended for a one-semester
course in Lebesgue's theory. With over 180 exercises, the
texttakes an elementary approach, making iteasily
accessible toboth upper-undergraduate- and lower-graduate-
level students. The three main topics presented are
measure, integration, and differentiation, and the only
prerequisite is a course in elementary real analysis. In
order to keep the book self-contained, an introductory
chapter is included with the intent to fill the gap
between what the student may have learned before and what
is required to fully understand the consequent text.
Proofs of difficult results, such as the differentiability
property of functions of bounded variations, are dissected
into small steps in order to be accessible to students.
With the exception of a few simple statements, all results
are proven in the text. The presentation is elementary,
where [sigma]-algebras are not used in the text on measure
theory and Dini's derivatives are not used in the chapter
on differentiation. However, all the main results of
Lebesgue's theory are found in the book.
590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic
Collection - North America
650 0 Lebesgue integral.|0https://id.loc.gov/authorities/
subjects/sh94008345
650 7 Lebesgue integral.|2fast|0https://id.worldcat.org/fast/
995240
653 4 Mathematics.
653 4 Global analysis (Mathematics)
653 4 Measure and Integration.
653 4 Real Functions.
653 4 Analysis.
655 4 Electronic books.
776 08 |iPrint version:|z9781461471950
830 0 Universitext.|0https://id.loc.gov/authorities/names/
n42025686
856 40 |uhttps://rider.idm.oclc.org/login?url=https://
search.ebscohost.com/login.aspx?direct=true&scope=site&
db=nlebk&AN=2543680|zOnline ebook via EBSCO. Access
restricted to current Rider University students, faculty,
and staff.
856 42 |3Instructions for reading/downloading the EBSCO version
of this ebook|uhttp://guides.rider.edu/ebooks/ebsco
880 |6520-00/(S|aThis classroom-tested text is intended for a
one-semester course in Lebesgue's theory. With over 180
exercises, the text takes an elementary approach, making
it easily accessible to both upper-undergraduate- and
lower-graduate-level students. The three main topics
presented are measure, integration, and differentiation,
and the only prerequisite is a course in elementary real
analysis. In order to keep the book self-contained, an
introductory chapter is included with the intent to fill
the gap between what the student may have learned before
and what is required to fully understand the consequent
text. Proofs of difficult results, such as the
differentiability property of functions of bounded
variations, are dissected into small steps in order to be
accessible to students. With the exception of a few simple
statements, all results are proven in the text. The
presentation is elementary, where σ-algebras are not used
in the text on measure theory and Dini's derivatives are
not used in the chapter on differentiation. However, all
the main results of Lebesgue's theory are found in the
book.
901 MARCIVE 20231220
948 |d20230203|cEBSCO|tEBSCOebooksacademic NEW 6073 Quarterly
|lridw
994 92|bRID
