This monograph will fill a gap in the methodology and practice of analyzing a large number of time series with complex temporal dependencies. It will focus on time series that have applications in disciplines such as business, climate, engineering, finance, health analytics, remote sensing, and manufacturing, providing novel and sophisticated data analytic techniques for researchers and practitioners. Specific topics that will be covered include state-of-the-art data science methods that enable systematic learning and monitoring of complex dependence patterns in a large number of time series; supervised and unsupervised learning (classification, clustering, biclustering) methods which provide monitoring and diagnostic capabilities to the analysis of time series; and monitoring and control of many time series in order to facilitate decision making.