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Data Analysis: Statistical and Computational Methods for Scientists and Engineers

✍ Scribed by Siegmund Brandt (auth.)


Publisher
Springer International Publishing
Year
2014
Tongue
English
Leaves
532
Edition
1
Category
Library

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✦ Synopsis


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 Contents β€’ Probabilities. Random variables. β€’ Random numbers and the Monte Carlo Method. β€’ Statistical distributions (binomial, Gauss, Poisson). Samples. Statistical tests. β€’ Maximum Likelihood. Least Squares. Regression. Minimization. β€’ 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 β€’ in laboratory courses, β€’ in working for bachelor or master degrees, β€’ in thesis work, β€’ in research and professional work. β€œThe 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 β€œβ€¦Serves as a nice reference guide for any scientist interested in the fundamentals of data analysis on the computer.” The American Statistician β€œThis 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.

✦ Table of Contents


Front Matter....Pages i-xx
Introduction....Pages 1-6
Probabilities....Pages 7-13
Random Variables: Distributions....Pages 15-40
Computer Generated Random Numbers: The Monte Carlo Method....Pages 41-68
Some Important Distributions and Theorems....Pages 69-108
Samples....Pages 109-152
The Method of Maximum Likelihood....Pages 153-173
Testing Statistical Hypotheses....Pages 175-207
The Method of Least Squares....Pages 209-265
Function Minimization....Pages 267-306
Analysis of Variance....Pages 307-319
Linear and Polynomial Regression....Pages 321-329
Time Series Analysis....Pages 331-340
Back Matter....Pages 341-523

✦ Subjects


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 Phys


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