Umfang:
1 Online-Ressource (xxx, 399 Seiten)
ISBN:
9781009003797
Inhalt:
Often it is more instructive to know 'what can go wrong' and to understand 'why a result fails' than to plod through yet another piece of theory. In this text, the authors gather more than 300 counterexamples - some of them both surprising and amusing - showing the limitations, hidden traps and pitfalls of measure and integration. Many examples are put into context, explaining relevant parts of the theory, and pointing out further reading. The text starts with a self-contained, non-technical overview on the fundamentals of measure and integration. A companion to the successful undergraduate textbook Measures, Integrals and Martingales, it is accessible to advanced undergraduate students, requiring only modest prerequisites. More specialized concepts are summarized at the beginning of each chapter, allowing for self-study as well as supplementary reading for any course covering measures and integrals. For researchers, it provides ample examples and warnings as to the limitations of general measure theory. This book forms a sister volume to René Schilling's other book Measures, Integrals and Martingales (www.cambridge.org/9781316620243)
Anmerkung:
Title from publisher's bibliographic system (viewed on 28 May 2021)
Weitere Ausg.:
ISBN 9781316519134
Weitere Ausg.:
ISBN 9781009001625
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Schilling, René L., 1969 - Counterexamples in measure and integration Cambridge : Cambridge University Press, 2021 ISBN 9781009001625
Weitere Ausg.:
ISBN 9781316519134
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Maßtheorie
;
Integrationstheorie
DOI:
10.1017/9781009003797
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Schilling, René L. 1969-
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