Theory -- Basic principles of PCA -- Geometric Principles of PCA -- Principal components and Correlation -- PCA in Regression analysis matrices -- PCA in cluster analysis -- PCA and factor analysis -- PCA for time series and independent data (ICA) -- Sparse PCA -- Non-negative PCA -- Applications of PCA -- PCA for Electrocardiography (ECG) applications -- PCA for Electroencephalography (EEG) applications -- PCA for Electromyography (EMG) applications -- PCA for bioinformatics and gene expression applications -- PCA for human movement science applications -- PCA for Gait Kinematics for Patients with Knee Osteoarthritis -- Neuroscience and biomedical application of PCA -- PCA applications for Brain Computer Interface (BCI) and motor imagery tasks -- PCA for Image processing applications -- PCA for Video processing applications -- PCA for dimensional reduction applications -- PCA for financial and economics applications.