A One-Semester Course on Probability
Springer International Publishing (Verlag)
978-3-031-86680-7 (ISBN)
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.
Jolanta Misiewicz studied at Wroclaw Technical University, Poland, where she received a Ph.D. in 1981 and a Habilitation in 1997. In 2007, she received the scientific title of Professor from the President of Poland. Her scientific specialty is Analytical Methods in Probability and Stochastic Processes. She is the author of more than 50 publications and co-author of two monographs.
She has held positions at the Institutes of Mathematics of Wroclaw Technical University, University of Zielona Góra, and Warsaw Technical University, where she is now Professor Emeritus. She has supervised four doctoral dissertations and over 40 master s theses. Misiewicz has also facilitated international academic cooperation, notably with Delft University of Technology.
- 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.
| Erscheinungsdatum | 05.06.2025 |
|---|---|
| Reihe/Serie | Springer Undergraduate Mathematics Series |
| Zusatzinfo | XII, 205 p. 14 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Schlagworte | Bernoulli Trials • Characteristic function • limit theorems • Probability Measure Discrete • Stochastic Modeling |
| ISBN-10 | 3-031-86680-0 / 3031866800 |
| ISBN-13 | 978-3-031-86680-7 / 9783031866807 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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