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Elementary Introduction to the Lebesgue Integral
Langbeschreibung
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.
Inhaltsverzeichnis
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
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.
ISBN-13:
9781351056816
Veröffentl:
2018
Seiten:
196
Autor:
Steven G. Krantz
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
82,99 €*
Lieferzeit: Sofort lieferbar
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