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A primer of Lebesgue integration

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A primer of Lebesgue integration

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A primer of Lebesgue integration/ H.S. Bear.
作者:	Bear, H. S.
出版者:	San Diego :Academic Press, : c2002.,
面頁冊數:	xi, 164 p. :ill. ;24 cm.
附註:	Includes index.
內容註:	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.
標題:	Lebesgue integral. -
電子資源:	http://www.sciencedirect.com/science/book/9780120839711An electronic book accessible through the World Wide Web; click for information
電子資源:	http://www.loc.gov/catdir/toc/els031/2001092385.html
電子資源:	http://www.loc.gov/catdir/description/els031/2001092385.html
ISBN:	0120839717

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: 0120839717

Source: 90218:90218Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

540534
Lebesgue integral.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA312 / .B35 2002eb

Dewey Class. No.: 515/.43

A primer of Lebesgue integration
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250 $a 2nd ed.
260 $a San Diego : $c c2002. $b Academic Press,
300 $a xi, 164 p. : $b ill. ; $c 24 cm.
500 $a Includes index.
505 0 $a 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. $b Amsterdam : $c Elsevier Science & Technology, $d 2007. $n Mode of access: World Wide Web. $n System requirements: Web browser. $n Title from title screen (viewed on July 25, 2007). $n Access may be restricted to users at subscribing institutions.
650 0 $a Lebesgue integral. $3 540534
655 7 $a Electronic books. $2 lcsh $3 542853
710 2 $a ScienceDirect (Online service) $3 848416
856 4 0 $3 ScienceDirect $u http://www.sciencedirect.com/science/book/9780120839711 $z An electronic book accessible through the World Wide Web; click for information
856 4 1 $3 Table of contents $u http://www.loc.gov/catdir/toc/els031/2001092385.html
856 4 2 $3 Publisher description $u http://www.loc.gov/catdir/description/els031/2001092385.html
994 $a C0 $b TEF