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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 integration/ H.S. Bear.
Author:
Bear, H. S.
Published:
San Diego :Academic Press, : c2002.,
Description:
xi, 164 p. :ill. ; : 24 cm.;
Subject:
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.
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:
72593
Index Terms--Genre/Form:
239592
LC Class. No.: QA312 / .B35 2002eb
Dewey Class. No.: 515/.43
A primer of Lebesgue integration
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[electronic resource] /
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H.S. Bear.
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2nd ed.
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San Diego :
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c2002.
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Academic Press,
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xi, 164 p. :
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ill. ;
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24 cm.
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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
$a
Electronic reproduction.
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Amsterdam :
$c
Elsevier Science & Technology,
$d
2007.
$n
Mode of access: World Wide Web.
$n
System requirements: Web browser.
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Title from title screen (viewed on July 25, 2007).
$n
Access may be restricted to users at subscribing institutions.
650
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72593
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239592
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251528
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