Counterexamples in Measure and Integration by Rene L. Schilling, Franziska Kuhn (Hardcover, 2021)

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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. Many examples are put into context, explaining relevant parts of the theory, and pointing out further reading.

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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 Rene Schilling's other book Measures, Integrals and Martingales (www.cambridge.org/9781316620243).

Product Identifiers

PublisherCambridge University Press
ISBN-139781316519134
eBay Product ID (ePID)3049045258

Product Key Features

Number of Pages330 Pages
LanguageEnglish
Publication NameCounterexamples in Measure and Integration
Publication Year2021
SubjectScience, Mathematics
TypeTextbook
AuthorRene L. Schilling, Franziska Kuhn
FormatHardcover

Dimensions

Item Height251 mm
Item Weight870 g
Item Width174 mm

Additional Product Features

Country/Region of ManufactureUnited Kingdom
Title_AuthorFranziska Kuhn, Rene L. Schilling

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