A One-Semester Course on Probability

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Sprache: Englisch

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Beschreibung

This concise textbook covers the full scope of an introductory course in modern probability theory, from elementary combinatorial methods to the central limit theorem, while maintaining mathematical rigor. It includes key topics like the measure extension and the Radon-Nikodym theorems. Designed for a one-semester course, it is well-suited for theoretical mathematics, financial mathematics, insurance, or stochastic modeling students. With 375 exercises, it offers ample opportunities for study and review.

Über den Autor

Jolanta Misiewicz studied at Wroc¿aw Technical University, Poland, where she received a PhD in 1981 and a Habilitation in 1997. In 2007, she received the title of Professor from the President of Poland. Her scientific specialty is analytical methods in probability and stochastic processes. She is the author of over 50 journal articles and co-author of two monographs. She has held positions at Wroc¿aw Technical University, the University of Zielona Góra, and Warsaw Technical University, where she is now Professor Emeritus.

Inhaltsverzeichnis

- 1. The Beginning.- 2. The General Definition of Probability.- 3. Random Variables and Their Distributions.- 4. Expected Value for Random Variables.- 5. Random Variable Parameters.- 6. Characteristic Functions.- 7. Limit Theorems.- 8. Extension of Measure.

Details

Erscheinungsjahr:	2025
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Springer Undergraduate Mathematics Series
Inhalt:	xii 205 S. 14 s/w Illustr. 205 p. 14 illus.
ISBN-13:	9783031866807
ISBN-10:	3031866800
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Misiewicz, Jolanta
Hersteller:	Springer Springer International Publishing AG Springer Undergraduate Mathematics Series
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Jolanta Misiewicz
Erscheinungsdatum:	03.06.2025
Gewicht:	0,341 kg