Probability Theory for Quantitative Scientists
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Title: Probability Theory for Quantitative Scientists Author: Leuzzi, Luca (National Research Council of Italy) / Marinari, Enzo (Sapienza Universita di Roma) / Parisi, Giorgio (Sapienza Universita di Roma) Publisher: Cambridge University Press ISBN: 9781009580694 Cover: HARDCOVER Date: 2025年08月 DESCRIPTION 定量的科学者のための確率論 定量的科学の学生と研究者に理想的な本書では、分野を代表する研究者たちが厳然と、しかも親しみやすく確率論を説明します。 最新の応用も展開され、読者は統計力学や情報理論などの重要な研究トピックを正しく理解できるようになります。 Based on the long-running Probability Theory course at the Sapienza University of Rome, this book offers a fresh and in-depth approach to probability and statistics, while remaining intuitive and accessible in style. The fundamentals of probability theory are elegantly presented, supported by numerous examples and illustrations, and modern applications are later introduced giving readers an appreciation of current research topics. The text covers distribution functions, statistical inference and data analysis, and more advanced methods including Markov chains and Poisson processes, widely used in dynamical systems and data science research. The concluding section, 'Entropy, Probability and Statistical Mechanics' unites key concepts from the text with the authors' impressive research experience, to provide a clear illustration of these powerful statistical tools in action. Ideal for students and researchers in the quantitative sciences this book provides an authoritative account of probability theory, written by leading researchers in the field. * Offers an authoritative introduction to probability theory, with a wealth of examples and modern applications, making it an invaluable resource for both students and researcher * Covers topics such as distribution functions, statistical inference and data analysis, and more advanced methods including Markov chains and Poisson processes, widely used in dynamical systems and information theory research * The concluding section, 'Entropy, Probability and Statistical Mechanics' unites key concepts from the text with the authors' impressive research experience, to provide a clear illustration of these powerful statistical tools in action TABLE OF CONTENTS 1. Introduction to probability 2. Probability distributions 3. Law of large numbers and central limit theorem 4. Large deviations 5. Statistical inference and experimental data analysis 6. Multivariate and correlated experimental data 7. Random walkers 8. Generating functions and chain reactions 9. Recurrent events 10. Markov chains 11. Numerical simulations 12. Correlated events 13. Continuous time Markov processes 14. Entropy, Probability, Statistical Mechanics 最近チェックした商品
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