Summary

In this chapter, you have been provided with a general and helpful exposition of the most central mathematical concepts in sequences, series, trigonometry, vectors, and complex numbers and, more importantly, their implementation in Python using concrete and short examples. As a real-life example, we examined a retirement plan and the progression of our savings in time. However, numerous other situations can be modeled after sequences or series and be studied by applying vectors or complex numbers. These concepts and methods are widely used in physics, engineering, data science, and more. Linear algebra, that is, the study of vectors, matrices, and tensors, heavily relies on understanding the concept of geometry and vectors and appears almost everywhere in data science and when studying neural networks. Geometry and trigonometry, on the other hand, are explicitly used to model physical motion (in video games, for instance) and more advanced concepts in geospatial applications...