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  • Textbook
  • © 2016

Probability for Physicists

Authors:

  • Gives a quick and intuitive introduction to the key concepts of probability, statistics and randomness
  • Covers the basics of entropy, Markov processes, Monte-Carlo methods and stochastic population modeling
  • Supported by illustrative, physics-focused examples
  • Includes elaborate, fully solved end-of-chapter problems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Graduate Texts in Physics (GTP)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
  2. Fundamentals of Probability and Probability Distributions

    1. Front Matter

      Pages 1-1
    2. Basic Terminology

      • Simon Širca
      Pages 3-29
    3. Probability Distributions

      • Simon Širca
      Pages 31-64
    4. Expected Values

      • Simon Širca
      Pages 93-121
    5. Special Discrete Probability Distributions

      • Simon Širca
      Pages 123-142
    6. Stable Distributions and Random Walks

      • Simon Širca
      Pages 143-174
  3. Determination of Distribution Parameters

    1. Front Matter

      Pages 175-175
    2. Statistical Inference from Samples

      • Simon Širca
      Pages 177-201
    3. Maximum-Likelihood Method

      • Simon Širca
      Pages 203-225
    4. Method of Least Squares

      • Simon Širca
      Pages 227-258
    5. Statistical Tests: Verifying Hypotheses

      • Simon Širca
      Pages 259-280
  4. Special Applications of Probability

    1. Front Matter

      Pages 281-281
    2. Entropy and Information \(\star \)

      • Simon Širca
      Pages 283-305
    3. Markov Processes \(\star \)

      • Simon Širca
      Pages 307-323
    4. The Monte–Carlo Method

      • Simon Širca
      Pages 325-345
    5. Stochastic Population Modeling

      • Simon Širca
      Pages 347-359
  5. Back Matter

    Pages 361-415

About this book

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.

Reviews

“Širca … provides a thorough background; sections cover fundamentals of probability analysis, statistical distributions, and applications of the theories using computer-based algorithms. … The work includes useful graphs, four appendixes covering random number generation, and tables of normal distributions. There are extensive references and a valuable index. Summing Up: Recommended. Graduate students; researchers/faculty; professionals.” (N. Sadanand, Choice, Vol. 54 (4), December, 2016)

Authors and Affiliations

  • Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia

    Simon Sirca

About the author

Simon Sirca studied physics at the Faculty of Mathematics and Physics, University of Ljubljana, and acquired his first research experience as a young researcher at the Jozef Stefan Institute in Ljubljana and the Institute for Nuclear Physics at the University of Mainz, Germany, concluding his PhD work with the thesis Axial form-factor of the nucleon from coincidence pion electroproduction at low Q2. He was a postdoctoral research associate at the Massachusetts Institute of Technology and the Thomas Jefferson National Accelerator Facility (Jefferson Lab) in the USA. His main research is in the field of hadronic structure and dynamics as explored by scattering of electrons on light nuclei, exploiting state-of-the-art polarized beams, polarized targets, and techniques of recoil polarimetry. He is also involved in theoretical work on quark models of hadrons, with the focus on electroweak processes like pion electroproduction in the nucleon resonance region. He is the head ofthe research group Structure of Hadronic Systems that has been active in the OOPS and BLAST Collaborations at MIT, a collaboration of Jefferson Lab, and the A1 Collaboration and University of Mainz. He is an Associate Professor at the Faculty of Mathematics and Physics, University of Ljubljana, where he has been teaching numerous courses in Mathematical Physics, Modern Physics and Mathematical Physics (Computational Physics).

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 84.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access