Data Science and BigData Computing.- Overview of Basic Methods for Data Science.- Relationship and Connectivity of Incomplete Data Collection.- Machine Learning for Data Mathematical or Computational.- Images, Videos, and BigData.- Topological Data Analysis.- Monte Carlo Methods and their Applications in Big Data Analysis.- Feature Extraction via Vector Bundle Learning.- Curve Interpolation and Financial Curve Construction.- Advanced Methods in Variational Segmentation with Intensity Inhomogeneity.- An On-line Strategy of Groups Evacuation From a Convex Region in the Plane.- A New Computational Model of Bigdata.