{"product_id":"spatiotemporal-data-analysis-9780691128917","title":"Spatiotemporal Data Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIntroduces 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"I believe practitioners and theoreticians from many diverse fields will find the book comprehensive, detailed and beneficial. The material is applicable to a broad range of topics, and the author has a clear presentation with an in-class lecturing tone.\"--Elvan Ceyhan, Mathematical Reviews Clippings\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface xi  Acknowledgments xv\u0026gt;      Part 1. Foundations  Chapter One: Introduction and Motivation 1  Chapter Two: Notation and Basic Operations 3  Chapter Three: Matrix Properties, Fundamental Spaces, Orthogonality 12  3.1 Vector Spaces 12  3.2 Matrix Rank 18  3.3 Fundamental Spaces Associated with A d R M # N 23  3.4 Gram-Schmidt Orthogonalization 41  3.5 Summary 45      Chapter Four: Introduction to Eigenanalysis 47  4.1 Preface 47  4.2 Eigenanalysis Introduced 48  4.3 Eigenanalysis as Spectral Representation 57  4.4 Summary 73      Chapter Five: The Algebraic Operation of SVD 75  5.1 SVD Introduced 75  5.2 Some Examples 80  5.3 SVD Applications 86  5.4 Summary 90  Part 2. Methods of Data Analysis  Chapter Six: The Gray World of Practical Data Analysis: An Introduction to Part 2 95  Chapter Seven Statistics in Deterministic Sciences: An Introduction 96  7.1 Probability Distributions 99  7.2 Degrees of Freedom 104      Chapter Eight: Autocorrelation 109  8.1 Theoretical Autocovariance and Autocorrelation Functions of AR(1) and AR(2) 118  8.2 Acf-derived Timescale 123  8.3 Summary of Chapters 7 and 8 125      Chapter Nine: Regression and Least Squares 126  9.1 Prologue 126  9.2 Setting Up the Problem 126  9.3 The Linear System Ax = b 130  9.4 Least Squares: The SVD View 144  9.5 Some Special Problems Giving Rise to Linear Systems 149  9.6 Statistical Issues in Regression Analysis 165  9.7 Multidimensional Regression and Linear Model Identification 185  9.8 Summary 195      Chapter Ten:. The Fundamental Theorem of Linear Algebra 197  10.1 Introduction 197  10.2 The Forward Problem 197  10.3 The Inverse Problem 198      Chapter Eleven:. Empirical Orthogonal Functions 200  11.1 Introduction 200  11.2 Data Matrix Structure Convention 201  11.3 Reshaping Multidimensional Data Sets for EOF Analysis 201  11.4 Forming Anomalies and Removing Time Mean 204  11.5 Missing Values, Take 1 205  11.6 Choosing and Interpreting the Covariability Matrix 208  11.7 Calculating the EOFs 218  11.8 Missing Values, Take 2 225  11.9 Projection Time Series, the Principal Components 228  11.10 A Final Realistic and Slightly Elaborate Example: Southern New York State Land Surface Temperature 234  11.11 Extended EOF Analysis, EEOF 244  11.12 Summary 260      Chapter Twelve:. The SVD Analysis of Two Fields 261  12.1 A Synthetic Example 265  12.2 A Second Synthetic Example 268  12.3 A Real Data Example 271  12.4 EOFs as a Prefilter to SVD 273  12.5 Summary 274      Chapter Thirteen:. Suggested Homework 276  13.1 Homework 1, Corresponding to Chapter 3 276  13.2 Homework 2, Corresponding to Chapter 3 283  13.3 Homework 3, Corresponding to Chapter 3 290  13.4 Homework 4, Corresponding to Chapter 4 292  13.5 Homework 5, Corresponding to Chapter 5 296  13.6 Homework 6, Corresponding to Chapter 8 300  13.7 A Suggested Midterm Exam 303  13.8 A Suggested Final Exam 311  Index 313","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403747270999,"sku":"9780691128917","price":999.99,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/spatiotemporal-data-analysis-9780691128917","provider":"Book Curl","version":"1.0","type":"link"}