A One-Semester Course on Probability

Erscheinungsjahr 2025
ISBN: 978-3-031-86680-7
Verlag: Springer Nature Switzerland

Buch, Englisch, 205 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 341 g

Reihe: Springer Undergraduate Mathematics Series

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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Misiewicz, Jolanta

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik

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.

Über Autor(innen)

Jolanta Misiewicz studied at Wroclaw 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 Wroclaw Technical University, the University of Zielona Góra, and Warsaw Technical University, where she is now Professor Emeritus.