Articles liés à A Concise Introduction to the Theory of Integration
Présentation de l'éditeur
The choice of topics included in this book, as well as the presentation of those topics, has been guided by the author's experience in teaching this material to classes consisting of advanced graduate students who are not concentrating in mathematics. This book contains an introduction to the modern theory of integration with a strong emphasis on the case of Lebesgue's measure for (Rn and eye toward applications to real analysis and probability theory. Following a brief review of the classical Riemann theory in Chapter I, the details of Lebesgue's construction are given in Chapter Ii, which also contains a derivation of the transformation properties of Lebesgue's measure under linear maps. Chapter Iii is devoted to Lebesgue's theory of integration of real-valued functions on a general measure space. Besides the basic convergence theorems, this chapter introduces product measures and Fubini's Theorem. In Chapter Iv, various topics having to do with the transformation properties of measures are derived. These include: the representation of general integrals in terms of Riemann integrals with respect to the distribution function, polar coordinates, Jacobi's transformation formula and finally the introduction of surface measure followed by a proof of the Divergence Theorem. A few of the basic inequalitites of measure theory are derived in Chapter V. In particular, the inequalities of Jensen, Minkowski and HÖLder are presented. Finally, Chapter Vi starts with the Daniell integral and its applications to the CarathÉOdory Extension and Riesz Representation Theorems. It closes with Von Neumann's derivation of the Radon-Nikodym Theorem.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhauser Boston Inc
- Date d'édition1994
- ISBN 10 0817637591
- ISBN 13 9780817637590
- ReliureRelié
- Langueanglais
- Numéro d'édition2
- Nombre de pages184
Résultats de recherche pour A Concise Introduction to the Theory of Integration
Image d'archives
A Concise Introduction to the Theory of Integration
Edité par
Birkhauser, 1994
ISBN 10 : 0817637591
ISBN 13 : 9780817637590
Ancien ou d'occasion
Couverture rigide
Vendeur : ThriftBooks-Atlanta, AUSTELL, GA, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : Very Good. No Jacket. Missing dust jacket; May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.28. N° de réf. du vendeur G0817637591I4N01
Quantité disponible : 1 disponible(s)
Image d'archives
A Concise Introduction to the Theory of Integration
Edité par
Birkhauser, 1994
ISBN 10 : 0817637591
ISBN 13 : 9780817637590
Ancien ou d'occasion
Couverture rigide
Vendeur : HPB-Red, Dallas, TX, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_416260180
Quantité disponible : 1 disponible(s)
Image d'archives
A Concise Introduction to the Theory of Integrati
Edité par
Unbekannt, 1994
ISBN 10 : 0817637591
ISBN 13 : 9780817637590
Ancien ou d'occasion
Couverture rigide
Vendeur : Buchpark, Trebbin, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : Gut. Zustand: Gut - Gebrauchs- und Lagerspuren. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 192 | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 827656/203
Quantité disponible : 1 disponible(s)