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A primer of Lebesgue integration
~
Bear, H. S.
A primer of Lebesgue integration
Record Type:
Electronic resources : Monograph/item
Title/Author:
A primer of Lebesgue integrationH.S. Bear.
Author:
Bear, H. S.
Published:
San Diego :Academic Press,c2002.
Description:
xi, 164 p. :ill. ;24 cm.
Notes:
Includes index.
Subject:
Lebesgue integral.
Online resource:
An electronic book accessible through the World Wide Web; click for information
Online resource:
http://www.loc.gov/catdir/description/els031/2001092385.html
Online resource:
http://www.loc.gov/catdir/toc/els031/2001092385.html
ISBN:
9780120839711
A primer of Lebesgue integration
Bear, H. S.
A primer of Lebesgue integration
[electronic resource] /H.S. Bear. - 2nd ed. - San Diego :Academic Press,c2002. - xi, 164 p. :ill. ;24 cm.
Includes index.
The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1); -- Measurable Sets: The Caratheodory Characterization; -- The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between ?and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index.
The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels.
Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.
Mode of access: World Wide Web.
ISBN: 9780120839711
Source: 90218:90218Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:
236010
Lebesgue integral.
Index Terms--Genre/Form:
214472
Electronic books.
LC Class. No.: QA312 / .B35 2002eb
Dewey Class. No.: 515/.43
A primer of Lebesgue integration
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H.S. Bear.
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2nd ed.
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San Diego :
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Academic Press,
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c2002.
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xi, 164 p. :
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ill. ;
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24 cm.
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Includes index.
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The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1); -- Measurable Sets: The Caratheodory Characterization; -- The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between ?and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index.
520
$a
The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels.
533
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Electronic reproduction.
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Amsterdam :
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Elsevier Science & Technology,
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2007.
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Mode of access: World Wide Web.
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System requirements: Web browser.
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Title from title screen (viewed on July 25, 2007).
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Access may be restricted to users at subscribing institutions.
650
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Lebesgue integral.
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236010
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Electronic books.
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local.
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214472
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ScienceDirect (Online service)
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9780120839711
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(DLC) 2001092385
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ScienceDirect
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http://www.sciencedirect.com/science/book/9780120839711
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An electronic book accessible through the World Wide Web; click for information
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Publisher description
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http://www.loc.gov/catdir/description/els031/2001092385.html
856
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Table of contents
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http://www.loc.gov/catdir/toc/els031/2001092385.html
994
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C0
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TEF
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EB QA312 .B35 2002eb 2002
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http://www.sciencedirect.com/science/book/9780120839711
http://www.loc.gov/catdir/description/els031/2001092385.html
http://www.loc.gov/catdir/toc/els031/2001092385.html
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