Artículos relacionados a Counterexamples in Measure and Integration

Counterexamples in Measure and Integration - Tapa dura

Kühn, Franziska; Schilling, René L.

 
9781316519134: Counterexamples in Measure and Integration
Tapa dura
ISBN 10: 1316519139 ISBN 13: 9781316519134
Editorial: Cambridge University Press, 2021

Sinopsis

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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Acerca de los autores

René L. Schilling is Professor of Probability Theory at Technische Universität Dresden. His research focuses on stochastic analysis and the theory of stochastic processes.

Franziska Kühn is Research Assistant at Technische Universität Dresden, where she finished her Ph.D. in 2016. She is interested in the interplay of probability theory and analysis, with a focus on jump processes and non-local operators.

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Editorial
Cambridge University Press
Año de publicación
2021
Idioma
Inglés
ISBN 10 
1316519139
ISBN 13 
9781316519134
Encuadernación
Tapa dura
Número de páginas
430
Contacto del fabricante
no disponible
Persona responsable
no disponible