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  1. Bog
  2. Matematik
  3. Regning og matematisk analyse

Counterexamples in Measure and Integration

Af: Franziska Kuhn, Rene L. Schilling Engelsk Paperback

Counterexamples in Measure and Integration

Af: Franziska Kuhn, Rene L. Schilling Engelsk Paperback
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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 René Schilling''s other book Measures, Integrals and Martingales (www.cambridge.org/9781316620243).
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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 René Schilling''s other book Measures, Integrals and Martingales (www.cambridge.org/9781316620243).
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Produktdetaljer
Sprog: Engelsk
Sider: 420
ISBN-13: 9781009001625
Indbinding: Paperback
Udgave:
ISBN-10: 1009001620
Kategori: Regning og matematisk analyse
Udg. Dato: 17 jun 2021
Længde: 27mm
Bredde: 244mm
Højde: 172mm
Forlag: Cambridge University Press
Oplagsdato: 17 jun 2021
Forfatter(e): Franziska Kuhn, Rene L. Schilling
Forfatter(e) Franziska Kuhn, Rene L. Schilling

Kategori Regning og matematisk analyse

ISBN-13 9781009001625

Sprog Engelsk

Indbinding Paperback

Sider 420

Udgave

Længde 27mm

Bredde 244mm

Højde 172mm

Udg. Dato 17 jun 2021

Oplagsdato 17 jun 2021

Forlag Cambridge University Press

Kategori sammenhænge