Part 3: Selected Advanced Concepts

In this part, we will introduce a selection of advanced math concepts. As with Part 2, each concept is a standalone topic. But, in contrast to Part 2, we’re now introducing topics at the cutting edge of data science and data science research. There is still a high probability you will encounter these concepts in your data science work, especially the longer you work in data science. Because of the advanced nature of the topics, each chapter is only designed to give you a basic grounding in that topic. But by the end of Part 3, you will understand the core ideas of each of these topics and be able to use that understanding to guide your own studies.

This section contains the following chapters:

• Chapter 11, Dynamical Systems
• Chapter 12, Kernel Methods
• Chapter 13, Information Theory
• Chapter 14, Bayesian Non-Parametric Methods
• Chapter 15, Random Matrices