Chapter 1, A Gentle Introduction to Machine Learning, introduces the world of machine learning, explaining the fundamental concepts of the most important approaches to creating intelligent applications and focusing on the different kinds of learning methods.
Chapter 2, Important Elements in Machine Learning, explains the mathematical concepts regarding the most common machine learning problems, including the concept of learnability and some important elements of information theory. This chapter contains theoretical elements, but it's extremely helpful if you are learning this topic from scratch because it provides an insight into the most important mathematical tools employed in the majority of algorithms.