A severe thunderstorm morphs into a tornado that cuts a swath of destruction through Oklahoma. How do we study the storm's mutation into a deadly twister? Avian flu cases are reported in China. How do we characterize the spread of the flu, potentially preventing an epidemic? The way to answer import
Spatiotemporal Data Analysis
โ Scribed by Gidon Eshel
- Publisher
- Princeton University Press
- Year
- 2011
- Tongue
- English
- Leaves
- 335
- Edition
- Course Book
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
A severe thunderstorm morphs into a tornado that cuts a swath of destruction through Oklahoma. How do we study the storm's mutation into a deadly twister? Avian flu cases are reported in China. How do we characterize the spread of the flu, potentially preventing an epidemic? The way to answer important questions like these is to analyze the spatial and temporal characteristics--origin, rates, and frequencies--of these phenomena. This comprehensive text introduces advanced undergraduate students, graduate students, and researchers to the statistical and algebraic methods used to analyze spatiotemporal data in a range of fields, including climate science, geophysics, ecology, astrophysics, and medicine.
Gidon Eshel begins with a concise yet detailed primer on linear algebra, providing readers with the mathematical foundations needed for data analysis. He then fully explains the theory and methods for analyzing spatiotemporal data, guiding readers from the basics to the most advanced applications. This self-contained, practical guide to the analysis of multidimensional data sets features a wealth of real-world examples as well as sample homework exercises and suggested exams.
โฆ Table of Contents
Contents
Preface
Acknowledgments
Part 1. Foundations
One. Introduction and Motivation
Two. Notation and Basic Operations
Three. Matrix Properties, Fundamental Spaces, Orthogonality
Four. Introduction to Eigenanalysis
Five. The Algebraic Operation of SVD
Part 2. Methods of Data Analysis
Six. The Gray World of Practical Data Analysis: An Introduction to Part 2
Seven. Statistics in Deterministic Sciences: An Introduction
Eight. Autocorrelation
Nine. Regression and Least Squares
Ten. The Fundamental Theorem of Linear Algebra
Eleven. Empirical Orthogonal Functions
Twelve. The SVD Analysis of Two Fields
Thirteen. Suggested Homework
Index
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