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The fourth edition of this successful textbook presents a comprehensive introduction to statistical and numerical methods for the evaluation of empirical and experimental data. Equal weight is given to statistical theory and practical problems. The concise mathematical treatment of the subject matter is illustrated by many examples, and for the present edition a library of Java programs has been developed. It comprises methods of numerical data analysis and graphical representation as well as many example programs and solutions to programming problems. The programs (source code, Java classes, and documentation) and extensive appendices to the main text are available for free download from the book’s page at www.springer.com. Contents Probabilities. Random variables. Random numbers and the Monte Carlo Method. Statistical distributions (binomial, Gauss, Poisson). Samples. Statistical tests. Maximum Likelihood. Least Squares. Regression. Minimization. Analysis of Variance. Time series analysis. Audience The book is conceived both as an introduction and as a work of reference. In particular it addresses itself to students, scientists and practitioners in science and engineering as a help in the analysis of their data in laboratory courses, working for bachelor or master degrees, in thesis work, and in research and professional work. “The book is concise, but gives a sufficiently rigorous mathematical treatment of practical statistical methods for data analysis; it can be of great use to all who are involved with data analysis.” Physicalia “This lively and erudite treatise covers the theory of the main statistical tools and their practical applications…a first rate university textbook, and good background material for the practicing physicist.” Physics Bulletin The Author Siegmund Brandt is Emeritus Professor of Physics at the University of Siegen. With his group he worked on experiments in elementary-particle physics at the research centers DESY in Hamburg and CERN in Geneva in which the analysis of the experimental data plays an important role. He is author or coauthor of textbooks which have appeared in ten languages.

Physics. --- Chemistry --- Mathematical physics. --- Engineering mathematics. --- Mathematical Methods in Physics. --- Appl.Mathematics/Computational Methods of Engineering. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Math. Applications in Chemistry. --- Numerical and Computational Physics. --- Probabilities --- Mathematical statistics --- Physics --- Physical Sciences & Mathematics --- Physics - General --- Mathematics. --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Probability --- Engineering --- Engineering analysis --- Physical mathematics --- Natural philosophy --- Philosophy, Natural --- Statistical methods --- Chemometrics. --- Statistics. --- Mathematical and Computational Engineering. --- Numerical and Computational Physics, Simulation. --- Mathematical analysis --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics --- Applied mathematics. --- Statistics . --- Chemistry, Analytic --- Physical sciences --- Dynamics --- Measurement --- Probabilities. --- Mathematical statistics. --- Statistics --- Sampling (Statistics) --- Combinations --- Chance --- Least squares --- Risk --- Analytical chemistry

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Physics was the leading science of the 20th century. This book retraces important discoveries, made between 1895 and 2001, in 100 self-contained episodes. Each is a short story of the scientists involved, their time and their work. The book is richly illustrated by about 600 portraits, photographs and figures.

Physics --- Discoveries in science --- Breakthroughs, Scientific --- Discoveries, Scientific --- Scientific breakthroughs --- Scientific discoveries --- Creative ability in science --- Research --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- History --- 1900 - 1999

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The fourth edition of this successful textbook presents a comprehensive introduction to statistical and numerical methods for the evaluation of empirical and experimental data. Equal weight is given to statistical theory and practical problems. The concise mathematical treatment of the subject matter is illustrated by many examples, and for the present edition a library of Java programs has been developed. It comprises methods of numerical data analysis and graphical representation as well as many example programs and solutions to programming problems. The programs (source code, Java classes, and documentation) and extensive appendices to the main text are available for free download from the book’s page at www.springer.com. Contents Probabilities. Random variables. Random numbers and the Monte Carlo Method. Statistical distributions (binomial, Gauss, Poisson). Samples. Statistical tests. Maximum Likelihood. Least Squares. Regression. Minimization. Analysis of Variance. Time series analysis. Audience The book is conceived both as an introduction and as a work of reference. In particular it addresses itself to students, scientists and practitioners in science and engineering as a help in the analysis of their data in laboratory courses, working for bachelor or master degrees, in thesis work, and in research and professional work. “The book is concise, but gives a sufficiently rigorous mathematical treatment of practical statistical methods for data analysis; it can be of great use to all who are involved with data analysis.” Physicalia “This lively and erudite treatise covers the theory of the main statistical tools and their practical applications…a first rate university textbook, and good background material for the practicing physicist.” Physics Bulletin The Author Siegmund Brandt is Emeritus Professor of Physics at the University of Siegen. With his group he worked on experiments in elementary-particle physics at the research centers DESY in Hamburg and CERN in Geneva in which the analysis of the experimental data plays an important role. He is author or coauthor of textbooks which have appeared in ten languages.

Statistical science --- Mathematics --- Mathematical physics --- Physics --- Chemistry --- Applied physical engineering --- Engineering sciences. Technology --- Computer science --- analyse (wiskunde) --- theoretische fysica --- time series analysis --- chemie --- economie --- wiskunde --- gegevensanalyse --- Java (informatica) --- ingenieurswetenschappen --- fysica --- statistisch onderzoek

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Die fünfte Auflage dieses erfolgreichen Buchs gibt eine umfassende Einführung in statistische und numerische Methoden zur Auswertung empirischer und experimenteller Daten. Statistische Theorie und praktische Probleme werden gleichermaßen behandelt: Es wird eine knappe mathematische Formulierung benutzt, ohne dabei die Anwendungen zu vernachlässigen, die in vielen Beispielen dargestellt werden. Für diese Auflage wurde eine Bibliothek von Java-Programmen entwickelt. Sie umfasst Methoden der rechnerischen Datenanalyse und der graphischen Darstellung sowie zahlreiche Beispielprogramme und Lösungen zu Programmieraufgaben. Die Programme (Quellcode und Java-Klassen, Dokumentation) und ausführliche Anhänge zum Haupttext des Buches stehen im Internet unter www.springer.com auf der Seite zum Buch zur Verfügung. Der Inhalt - Wahrscheinlichkeitsrechnung, Zufallsvariable - Zufallszahlen und Monte-Carlo-Methode - Statistische Verteilungen (Binomial-, Gauß-, Poisson-Verteilung), Stichproben, statistische Tests - Maximum Likelihood, kleinste Quadrate, Regression, Minimierung - Varianzanalyse und Zeitreihenanalyse - Anhänge zu mathematischen Hilfsmethoden und zu den Programmen Die Zielgruppen Das Buch ist konzipiert als Einführung für jüngere Leserinnen und Leser und als Nachschlagewerk für erfahrenere. Es wendet sich insbesondere an Studierende, Wissenschaftler und Praktiker der Natur- und Ingenieurwissenschaften als Hilfe bei der Analyse ihrer Daten - im Praktikum - in Bachelor- und Master-Arbeiten - in Dissertationen - in Forschung und Beruf. Der Autor Siegmund Brandt ist emeritierter Professor der Physik an der Universität Siegen. Mit seiner Gruppe arbeitete er an Experimenten zur Elementarteilchenphysik an den Forschungszentren DESY in Hamburg und CERN in Genf, bei denen die Auswertung der experimentell gewonnenen Daten eine wichtige Rolle spielt. Er ist Autor bzw. Koautor von Lehrbüchern, die in zehn Sprachen erschienen sind.

Probabilities. --- Statistics . --- Probability Theory and Stochastic Processes. --- Statistics, general.

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Quantum mechanics. Quantumfield theory --- 530.145 --- Quantum theory --- Wave mechanics --- #WSCH:AAS2 --- Electrodynamics --- Matrix mechanics --- Mechanics --- Molecular dynamics --- Quantum statistics --- Waves --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Thermodynamics --- Quantum theory. --- Wave mechanics. --- 530.145 Quantum theory