Probability for Physicists
Title | Probability for Physicists PDF eBook |
Author | Simon Širca |
Publisher | Springer |
Total Pages | 415 |
Release | 2016-05-20 |
Genre | Science |
ISBN | 3319316117 |
This book is designed as a practical and intuitive introduction to probability, statistics and random quantities for physicists. The book aims at getting to the main points by a clear, hands-on exposition supported by well-illustrated and worked-out examples. A strong focus on applications in physics and other natural sciences is maintained throughout. In addition to basic concepts of random variables, distributions, expected values and statistics, the book discusses the notions of entropy, Markov processes, and fundamentals of random number generation and Monte-Carlo methods.
Probability and Statistics for Particle Physics
Title | Probability and Statistics for Particle Physics PDF eBook |
Author | Carlos Maña |
Publisher | Springer |
Total Pages | 252 |
Release | 2017-04-21 |
Genre | Science |
ISBN | 3319557386 |
This book comprehensively presents the basic concepts of probability and Bayesian inference with sufficient generality to make them applicable to current problems in scientific research. The first chapter provides the fundamentals of probability theory that are essential for the analysis of random phenomena. The second chapter includes a full and pragmatic review of the Bayesian methods that constitute a natural and coherent framework with enough freedom to analyze all the information available from experimental data in a conceptually simple manner. The third chapter presents the basic Monte Carlo techniques used in scientific research, allowing a large variety of problems to be handled difficult to tackle by other procedures. The author also introduces a basic algorithm, which enables readers to simulate samples from simple distribution, and describes useful cases for researchers in particle physics.The final chapter is devoted to the basic ideas of Information Theory, which are important in the Bayesian methodology. This highly readable book is appropriate for graduate-level courses, while at the same time being useful for scientific researches in general and for physicists in particular since most of the examples are from the field of Particle Physics.
Probability and Statistics in Experimental Physics
Title | Probability and Statistics in Experimental Physics PDF eBook |
Author | Byron P. Roe |
Publisher | Springer Science & Business Media |
Total Pages | 219 |
Release | 2013-03-09 |
Genre | Science |
ISBN | 1475721862 |
A practical introduction to the use of probability and statistics in experimental physics for graduate students and advanced undergraduates. Intended as a practical guide, and not as a comprehensive text, the emphasis is on applications and understanding, on theorems and techniques that are actually used in experimental physics. Proofs of theorems are generally omitted unless they contribute to the intuition in understanding and applying the theorem. The problems, many with worked solutions, introduce the student to the use of computers; occasional reference is made to some of the Fortran routines available in the CERN library, but other systems, such as Maple, will also be useful.
Probability in Physics
Title | Probability in Physics PDF eBook |
Author | Yemima Ben-Menahem |
Publisher | Springer Science & Business Media |
Total Pages | 325 |
Release | 2012-01-25 |
Genre | Science |
ISBN | 3642213286 |
What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.
Probability and Stochastic Processes for Physicists
Title | Probability and Stochastic Processes for Physicists PDF eBook |
Author | Nicola Cufaro Petroni |
Publisher | Springer Nature |
Total Pages | 372 |
Release | 2020-06-25 |
Genre | Science |
ISBN | 3030484084 |
This book seeks to bridge the gap between the parlance, the models, and even the notations used by physicists and those used by mathematicians when it comes to the topic of probability and stochastic processes. The opening four chapters elucidate the basic concepts of probability, including probability spaces and measures, random variables, and limit theorems. Here, the focus is mainly on models and ideas rather than the mathematical tools. The discussion of limit theorems serves as a gateway to extensive coverage of the theory of stochastic processes, including, for example, stationarity and ergodicity, Poisson and Wiener processes and their trajectories, other Markov processes, jump-diffusion processes, stochastic calculus, and stochastic differential equations. All these conceptual tools then converge in a dynamical theory of Brownian motion that compares the Einstein–Smoluchowski and Ornstein–Uhlenbeck approaches, highlighting the most important ideas that finally led to a connection between the Schrödinger equation and diffusion processes along the lines of Nelson’s stochastic mechanics. A series of appendices cover particular details and calculations, and offer concise treatments of particular thought-provoking topics.
Probability in Physics
Title | Probability in Physics PDF eBook |
Author | Andy Lawrence |
Publisher | Springer Nature |
Total Pages | 347 |
Release | 2019-09-01 |
Genre | Science |
ISBN | 3030045447 |
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 Concept of Probability in Statistical Physics
Title | The Concept of Probability in Statistical Physics PDF eBook |
Author | Y. M. Guttmann |
Publisher | Cambridge University Press |
Total Pages | 283 |
Release | 1999-07-13 |
Genre | Mathematics |
ISBN | 0521621283 |
A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.