Lectures on Monte Carlo Theory
Springer
ISBN 978-3-032-01189-3
Standardpreis
Bibliografische Daten
Fachbuch
Buch. Hardcover
2025
50 s/w-Abbildungen.
In englischer Sprache
Umfang: X, 580 S.
Format (B x L): 15.5 x 23.5 cm
Verlag: Springer
ISBN: 978-3-032-01189-3
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Probability Theory and Stochastic Modelling
Produktbeschreibung
Topics include the generation and analysis of pseudorandom numbers (which are intended to imitate truly random numbers on a computer), the design and justification of Monte Carlo algorithms, and advanced approaches such as Markov chain Monte Carlo and stochastic optimization. In contrast to deterministic numerical methods, the outcome of a Monte Carlo algorithm is itself random – and one needs the tools of probability and statistics to interpret these results meaningfully. The theoretical foundations, particularly the law of large numbers and central limit theorem, are combined with practical algorithms that reveal both the strengths and subtleties of stochastic simulation.
The book includes numerous exercises, both theoretical and computational. Each chapter features step-by-step algorithms, illustrated examples, and results presented through numerical computations, tables, and a variety of plots and figures. All Python code used to produce these results is publicly available, allowing readers to reproduce and explore simulations on their own.
Intended primarily for graduate students and researchers, the exposition focuses on core concepts and intuitive understanding, avoiding excessive formalism. The book is suitable both for self-study and as a course text and offers a clear pathway from foundational principles to modern applications.
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