Quantitative Methods of Data Analysis for the Physical Sciences and Engineering

Quantitative Methods of Data Analysis for the Physical Sciences and Engineering
Authors: Professor Douglas G. Martinson
ISBN-10: 1107029767
ISBN-13: 9781107029767
Edition 版本:‏ 1
Released: 2018-11-08
Pages: 626 pages
This book provides thorough and comprehensive coverage of most of the new and important quantitative methods of data analysis for graduate students and practitioners. In recent years,data analysis methods have exploded alongside advanced computing power,and it is critical to understand such methods to get the most out of data,and to extract signal from noise. The book excels in explaining difficult concepts through simple explanations and detailed explanatory illustrations. Most unique is the focus on confidence limits for power spectra and their proper interpretation,something rare or completely missing in other books. Likewise,there is a thorough discussion of how to assess uncertainty via use of Expectancy,and the easy to apply and understand Bootstrap method. The book is written so that descriptions of each method are as self-contained as possible. Many examples are presented to clarify interpretations,as are user tips in highlighted boxes.
Contents
Preface
Acknowledgments
Part l: Fundamentals
1 The Nature of Data and Analysis
2 Probability Theory
3 Statistics
Part lIl: Fitting Curves to Data
4 Interpolation
5 Smoothed Curve Fitting
6Special Curve Fitting
Part lll: Sequential Data Fundamentals
7 Serial Products
8 Fourier Series
9 Fourier Transform
10 Fourier Transform
11 Spectral Analysis
12 Cross-Spectral Analysis
13 Filtering and Deconvolution
14Linear Parametric Modeling
15 Empirical Orthogonal Function (EOF) Analysis
Appendix 1. Overview of Matrix Algebra
Appendix 2. Uncertainty Analysis