| Document Type
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BL
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| Record Number
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989114
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| Doc. No
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b743484
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| Main Entry
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Bear, H. S., (Herbert Stanley)
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| Title & Author
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A primer of Lebesgue integration /\ H.S. Bear.
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| Edition Statement
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2nd ed.
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| Publication Statement
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San Diego :: Academic Press,, ©2002.
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| Page. NO
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1 online resource (xi, 164 pages) :: illustrations
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| ISBN
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0080525733
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: 0120839717
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: 1281024910
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: 6611024913
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: 9780080525730
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: 9780120839711
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: 9781281024916
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: 9786611024918
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| Notes
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Includes index.
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| Contents
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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 æ and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index.
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| Abstract
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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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| Subject
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Lebesgue integral.
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| Subject
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Lebesgue integral.
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| Subject
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MATHEMATICS-- Calculus.
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| Subject
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MATHEMATICS-- Mathematical Analysis.
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| Dewey Classification
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515/.43
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| LC Classification
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QA312.B35 2002eb
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