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A primer of Lebesgue integration[ele...
~
Bear, H. S.
A primer of Lebesgue integration[electronic resource] /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
515/.43
書名/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.
標題:
Lebesgue integral.
ISBN:
9780120839711
ISBN:
0120839717
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.
摘要、提要註:
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.
電子資源:
An electronic book accessible through the World Wide Web; click for information
電子資源:
http://www.loc.gov/catdir/description/els031/2001092385.html
電子資源:
http://www.loc.gov/catdir/toc/els031/2001092385.html
A primer of Lebesgue integration[electronic resource] /
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:
403437
Lebesgue integral.
Index Terms--Genre/Form:
336502
Electronic books.
LC Class. No.: QA312 / .B35 2002eb
Dewey Class. No.: 515/.43
A primer of Lebesgue integration[electronic resource] /
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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.
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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.
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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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