A Primer of Lebesgue Integration - Couverture rigide

Bear, H. S.

Couverture rigide

ISBN 10 : 0120839709 ISBN 13 : 9780120839704

Editeur : Academic Press Inc, 1995

Synopsis

The Lebesgue is the standard tool for mathematics, physics, or engineering. It is used where sequences or series arise and where one might wish to express the integral of a sum of integrals or vice versa. It is essential in Fourier analysis and for the construction of Hilbert space and other function spaces. This primer gives a concrete treatment, building Lebesgue theory in a way parallel to the Riemann integral of beginning calculus. It makes the powerful tools of Lebesgue theory readily available to those in applied areas. It is a good introduction for those going on in mathematics as well as a refresher holding new insights for those in the field. Features: * The Riemann-Darboux Integral * The Riemann Integral as a Limit of Sums * Lebesgue Measure on (0.1) * Measurable-Sets - The Caratheodory Characterization

A propos du livre

Présentation de l'éditeur

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.

Revue de presse

"This well-written little book provides ... an introduction to the Lebesgue integral. The book is written very clearly and suggestively and can be recommended to students." Zentralblatt for Mathematik

Détails de l'édition

• Éditeur: Academic Press Inc
• Date d'édition: 1995
• Langue: anglais
• ISBN 10: 0120839709
• ISBN 13: 9780120839704
• Reliure: Relié
• Nombre de pages: 184
• Coordonnées du fabricant: non disponible
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