Chapter 1 Introduction
Chapter 2 General Setting and Basic Terminology
Chapter 3 Empirical Orthogonal Functions
Chapter 4 Rotated and Simplified EOFs
Chapter 5 Complex/Hilbert EOFs
Chapter 6 Principal Oscillation Patterns and their extension
Chapter 7 Extended EOFs and SSA
Chapter 8 Persistent, Predictive, and Interpolated Patterns
Chapter 9 Principal Coordinates or Multidimensional Scaling
Chapter 10 Factor Analysis
Chapter 11 Projection Pursuit
Chapter 12 Independent Component Analysis
Chapter 13 Kernel EOFs
Chapter 14 Functional and Regularised EOFs
Chapter 15 Methods for Coupled Patterns
Chapter 16 Further topics
Chapter 17 Machine Learning
Appendix A Smoothing Techniques
Appendix B Introduction to Probability and Random Variables.-Appendix C Stationary Time Series Analysis.-Appendix D Matrix Algebra and Matrix Function
Appendix E Optimisation Algorithms
Appendix F Hilbert Space
Appendix G Systems of Linear Ordinary Differential Equations
Appendix H Links for Software Resource Material
Index.