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An Introduction to the Lebesgue Integral
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Librairie Eyrolles - Paris 5e
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An Introduction to the Lebesgue Integral

An Introduction to the Lebesgue Integral

Steven g. krantz (author)

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196 pages, parution le 16/04/2018
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Indisponible

Résumé

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.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
It is important and useful to have a text on the Lebesgue theory that is accessible to bright undergraduates. This is such a text. Going back to the days of Isaac Newton and Gottfried Wilhelm von Leibniz, and even to Newton's teacher Isaac Barrow, the integral has been a mainstay of mathematical analysis. The integral is a device for amalgamating information. It is a powerful and irreplaceable tool. The text concentrates on the real line. The student will be familiar with the real numbers and will be comfortable internalizing the new ideas of measure theory in that context. In addition to having copious examples and numerous figures, this book includes a Table of Notation and a Glossary.1st editionQA312Lebesgue integral - Textbooks.|Integrals, Generalized - Textbooks.|Measure theory - Textbooks.1FloridaBoca RatonSteven G. Krantz.Textbooks in Mathematics

Caractéristiques techniques

  PAPIER
Éditeur(s) Taylor&francis
Auteur(s) Steven g. krantz (author)
Parution 16/04/2018
Nb. de pages 196
Format 231 x 157
Poids 298g
EAN13 9781138482760

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