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Record Nr. |
UNINA9910349511003321 |
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Autore |
Lawrence Andy |
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Titolo |
Probability in Physics [[electronic resource] ] : An Introductory Guide / / by Andy Lawrence |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (XXIV, 347 p. 79 illus., 13 illus. in color.) |
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Collana |
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Undergraduate Lecture Notes in Physics, , 2192-4791 |
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Disciplina |
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Soggetti |
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Física matemàtica |
Estadística matemàtica |
Probabilitats |
Physics |
Probabilities |
Statistics |
Astronomy |
Astrophysics |
Statistical physics |
Dynamical systems |
Mathematical Methods in Physics |
Probability Theory and Stochastic Processes |
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences |
Astronomy, Astrophysics and Cosmology |
Complex Systems |
Statistical Physics and Dynamical Systems |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Part I: The Basics -- Randomness and Probability -- Distributions, Moments, and Errors -- Part II: Frequency Distributions in the Physical World -- Counting the Ways: Arrangements and Subsets -- Counting Statistics: Binomial and Poisson Distributions -- Combining Many |
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Factors: The Gaussian Distribution -- Distributions Arising from Random Processes in Time -- Part III: Probabilistic Inference: Reasoning in the Presence of Uncertainty -- Hypothesis Testing -- Parameter Estimation -- Inference With Two Variables: Correlation Testing and Line Fitting -- Model Fitting -- Part IV: Selected Topics -- Information, Uncertainty, and Surprise -- Erratic Time Series -- Probability in Quantum Physics -- Entropy, Complexity, and the Arrow of Time -- Solutions. |
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Sommario/riassunto |
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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. |
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