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Probability in Physics
An Introductory Guide
Taschenbuch von Andy Lawrence
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

Andy Lawrence is the Regius Professor of Astronomy at the University of Edinburgh. His research interests are in Active Galactic Nuclei (AGN), observational cosmology, survey astronomy, and e-science (the Virtual Observatory). He has been teaching an undergraduate course on Probability in Physics with a new angle. He is a Fellow of the Royal Society of Edinburgh and author of the Springer book Astronomical Measurement.

Zusammenfassung

Explains the use of probability in physics motivated by real physics examples throughout

Presents a modern approach to statistics, with a harmonised and simplified view of traditional and Bayesian approaches

Emerges from a one-semester twenty-lecture course taught to junior honours students

Aims to cover the role of probability anywhere in physics

Offers exercises and solutions

Inhaltsverzeichnis
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 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.
Details
Erscheinungsjahr: 2019
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Reihe: Undergraduate Lecture Notes in Physics
Inhalt: xxiv
347 S.
66 s/w Illustr.
13 farbige Illustr.
347 p. 79 illus.
13 illus. in color.
ISBN-13: 9783030045425
ISBN-10: 3030045420
Sprache: Englisch
Herstellernummer: 978-3-030-04542-5
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Lawrence, Andy
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer International Publishing AG
Undergraduate Lecture Notes in Physics
Maße: 235 x 155 x 21 mm
Von/Mit: Andy Lawrence
Erscheinungsdatum: 11.09.2019
Gewicht: 0,563 kg
Artikel-ID: 114812324
Über den Autor

Andy Lawrence is the Regius Professor of Astronomy at the University of Edinburgh. His research interests are in Active Galactic Nuclei (AGN), observational cosmology, survey astronomy, and e-science (the Virtual Observatory). He has been teaching an undergraduate course on Probability in Physics with a new angle. He is a Fellow of the Royal Society of Edinburgh and author of the Springer book Astronomical Measurement.

Zusammenfassung

Explains the use of probability in physics motivated by real physics examples throughout

Presents a modern approach to statistics, with a harmonised and simplified view of traditional and Bayesian approaches

Emerges from a one-semester twenty-lecture course taught to junior honours students

Aims to cover the role of probability anywhere in physics

Offers exercises and solutions

Inhaltsverzeichnis
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 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.
Details
Erscheinungsjahr: 2019
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Reihe: Undergraduate Lecture Notes in Physics
Inhalt: xxiv
347 S.
66 s/w Illustr.
13 farbige Illustr.
347 p. 79 illus.
13 illus. in color.
ISBN-13: 9783030045425
ISBN-10: 3030045420
Sprache: Englisch
Herstellernummer: 978-3-030-04542-5
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Lawrence, Andy
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer International Publishing AG
Undergraduate Lecture Notes in Physics
Maße: 235 x 155 x 21 mm
Von/Mit: Andy Lawrence
Erscheinungsdatum: 11.09.2019
Gewicht: 0,563 kg
Artikel-ID: 114812324
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