Steven G. Krantz

Elementary Introduction to the Lebesgue Integral (eBook, PDF)

• Format: PDF

Produktbeschreibung

This textbook offers a rare opportunity to teach Lebesgue integration to undergraduates. Focusing on the real line, the author introduces the topic in an accessible way, thus encouraging students to dig into this mainstay of mathematical analysis earlier than the traditional graduate level course.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 196
• Erscheinungstermin: 17. April 2018
• Englisch
• ISBN-13: 9781351056816
• Artikelnr.: 55431228

Autorenporträt

Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has previously taught at UCLA, Princeton University, and Pennsylvania State University. He has written more than 65 books and more than 175 scholarly papers and is the founding editor of the Journal of Geometric Analysis. An AMS Fellow, Dr. Krantz has been a recipient of the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize. He received a Ph.D. from Princeton University.

Inhaltsangabe

Introductory Thoughts.The Purpose of Measures.The Lebesgue
Integral.Integrable Functions.The Lebesgue Spaces. The Concept of Outer
Measure.What is a Measurable Set? Decomposition Theorems.Creation of
Measures. Instances of Measurable Sets. Approximation by Open and Closed
Sets. Different Methods of Convergence. Measure on a Product Space.
Additivity for Outer Measure. Nonmeasurable and Non-Borel Sets