Umfang:
xxii, 424 Seiten
,
Diagramme
Ausgabe:
Second edition
ISBN:
0821829742
,
9780821829745
Serie:
Graduate texts in mathematics volume 45
Inhalt:
"Integration is one of the two cornerstones of analysis. Since the fundamental work of Lebesgue, integration has been presented in terms of measure theory. This introductory text starts with the historical development of the notion of the integral and a review of the Riemann integral. From here, the reader is naturally led to the consideration of the Lebesgue integral, where abstract integration is developed via measure theory. The important basic topics are all covered: the Fundamental Theorem of Calculus, Fubini's Theorem, L[subscript p] spaces, the Radon-Nikodym Theorem, change of variables formulas, and so on." "The book is written in an informal style to make the subject matter easily accessible. Concepts are developed with the help of motivating examples, probing questions, and many exercises. It would be suitable as a textbook for an introductory course on the topic or for self-study."--BOOK JACKET.
Weitere Ausg.:
Erscheint auch als Online-Ausgabe ISBN 978-1-4704-2096-3
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Maßtheorie
;
Integration
;
Einführung
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