A One-Semester Course on Probability

by Jolanta Misiewicz

Overview

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.

 

Product Details

ISBN-13:	9783031866814
Publisher:	Springer-Verlag New York, LLC
Publication date:	07/04/2025
Series:	Springer Undergraduate Mathematics Series
Sold by:	Barnes & Noble
Format:	eBook
File size:	15 MB
Note:	This product may take a few minutes to download.

About the Author

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

Table of Contents

- 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.