Statistical Physics

An Advanced Approach with Applications Web-enhanced with Problems and Solutions

Josef Honerkamp (Autor)

Buch | Softcover

XIV, 517 Seiten

2010 | 2. Softcover reprint of hardcover 2nd ed. 2002
Springer Berlin (Verlag)
978-3-642-07703-6 (ISBN)

Infos

The application of statistical methods to physics is essen- tial. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analy- sis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The second edition has been updated and enlarged with new material on estimators based on a probability dis- tribution for the parameters, identification of stochastic models from observations, and statistical tests and classi- fication methods (Chaps. 10-12). Moreover, a customized set of set of problems with solutions is accessible on the Web.

Autor

Josef Honerkamp hat mehr als 30 Jahre als Professor für Theoretische Physik gelehrt, zunächst an der Universität Bonn, dann viele Jahre an der Universität Freiburg. Er ist Autor mehrere Lehrbücher, im Rahmen seiner Forschungstätigkeit hat er auf folgenden Gebieten gearbeitet: Quantenfeldtheorie, Statistische Mechanik, Nichtlineare Systeme und Stochastische Dynamische Systeme. Er ist Mitglied der Heidelberger Akademie der Wissenschaften.

Inhalt

1 Statistical Physics: Is More than Statistical Mechanics.- I Modeling of Statistical Systems.- 2 Random Variables: Fundamentals of Probability Theory and Statistics.- 3 Random Variables in State Space: Classical Statistical Mechanics of Fluids.- 4 Random Fields: Textures and Classical Statistical Mechanics of Spin Systems.- 5 Time-Dependent Random Variables: Classical Stochastic Processes.- 6 Quantum Random Systems.- 7 Changes of External Conditions.- II Analysis of Statistical Systems.- 8 Estimation of Parameters.- 9 Signal Analysis: Estimation of Spectra.- 10 Estimators Based on a Probability Distribution for the Parameters.- 11 Identification of Stochastic Models from Observations.- 12 Estimating the Parameters of a Hidden Stochastic Model.- 13 Statistical Tests and Classification Methods.- Appendix: Random Number Generation for Simulating Realizations of Random Variables.- Problems.- Hints and Solutions.- References.

Produkt-Details

• Erscheint lt. Verlag: 15.12.2010
• Reihe/Serie: Advanced Texts in Physics
• Zusatzinfo: XIV, 517 p.
• Verlagsort: Berlin
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 795 g
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Schlagworte: linear optimization • Probability Theory • random variables • Statistical Physics • statistical tests • Statistics • stochastic models • Stochastic Processes
• ISBN-10: 3-642-07703-X / 364207703X
• ISBN-13: 978-3-642-07703-6 / 9783642077036
• Zustand: Neuware