Articles liés à The Lebesgue Integral: An Elementary Approach

The Lebesgue Integral: An Elementary Approach - Couverture rigide

Johnston, William

 
9781939512079: The Lebesgue Integral: An Elementary Approach
Couverture rigide
ISBN 10 : 1939512077 ISBN 13 : 9781939512079
Editeur : The Mathematical Association of America, 2015

Synopsis

Using the Daniell–Riesz approach, this text presents the Lebesgue integral at a level accessible to an audience familiar only with limits, derivatives and series. Employing such minimal prerequisites allows for greatly increased curricular flexibility for course instructors, as well as providing undergraduates with a gateway to the powerful modern mathematics of functions at a very early stage. The book's topics include: the definition and properties of the Lebesgue integral; Banach and Hilbert spaces; integration with respect to Borel measures, along with their associated L2(μ) spaces; bounded linear operators; and the spectral theorem. The text also describes several applications of the theory, such as Fourier series, quantum mechanics, and probability.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

William Johnston is Professor of Mathematics at Butler University, Indiana. His publications include articles on operator theory and functional analysis, and the undergraduate textbooks A Transition to Advanced Mathematics: A Survey Course (with Alex McAllister) and An Introduction to Statistical Inference.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
The Mathematical Association of America
Date d'édition
2015
Langue
anglais
ISBN 10 
1939512077
ISBN 13 
9781939512079
Reliure
Relié
Nombre de pages
295
Coordonnées du fabricant
non disponible
Personne responsable
Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

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Breda
4831 GR
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