Foundations of Data Science, textbook & lectures

math-heavy

Foundations of Data Science - Lecture 1 | Microsoft Research | Channel 9

"Modern data often consists of feature vectors with a large number of features. High-dimensional geometry and Linear Algebra (Singular Value Decomposition) are two of the crucial areas which form the mathematical foundations of Data Science. This mini-course covers these areas, providing intuition and rigorous proofs. Connections between Geometry and Probability will be brought out. Text Book: Foundations of Data Science."

book: Foundations of Data Science, June 14, 2017.pdf (450 pages)

by John E. Hopcroft, Avrim Blum and Ravi Kannan