Lawrence A. Probability in Physics: An Introductory Guide by Andy Lawrence

Springer, 2019. — 361 p. — (Undergraduate Lecture Notes in Physics). — ISBN: 978-3-030-04542-5.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.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