Details for: Lawrence A.Probability in Physics.An Introductory Guide 2019

Lawrence A.Probability in Physics.An Introductory Guide 2019

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2019-09-02

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Textbook in PDF format This textbook presents an introduction to the use of probability in physics, treating introductory ideas of both statistical physics and of statistical inference, as well the importance of probability in information theory, quantum mechanics, and stochastic processes, in a unified manner. The book also presents a harmonised view of frequentist and Bayesian approaches to inference, emphasising their complementary value. The aim is to steer a middle course between the "cookbook" style and an overly dry mathematical statistics style. The treatment is driven by real physics examples throughout, but developed with a level of mathematical clarity and rigour appropriate to mid-career physics undergraduates. Exercises and solutions are included. Table of contents The Basics Randomness and Probability Distributions, Moments, and Errors Frequency Distributions in the Physical World Counting the Ways: Arrangements and Subsets Counting Statistics: Binomial and Poisson Distributions Combining Many Factors: The Gaussian Distribution Distributions Arising from Random Processes in Time Probabilistic Inference: Reasoning in the Presence of Uncertainty Hypothesis Testing Parameter Estimation Inference with Two Variables: Correlation Testing and Line Fitting Model Fitting Information, Uncertainty, and Surprise Erratic Time Series Probability in Quantum Physics Entropy, Complexity, and the Arrow of Time

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1. Lawrence A. Probability in Physics. An Introductory Guide 2019.pdf7.47 MiB