Mathematical Foundations of Data Science Using R

Description

The aim of the book is to help students become data scientists. Since this requires a series of courses over a considerable period of time, the book intends to accompany students from the beginning to an advanced understanding of the knowledge and skills that define a modern data scientist. The book presents a comprehensive overview of the mathematical foundations of the programming language R and of its applications to data science. Preface to the second edition Contents 1 Introduction Part I: Introduction to R 2 Overview of programming paradigms 3 Setting up and installing the R program 4 Installation of R packages 5 Introduction to programming in R 6 Creating R packages Part II: Graphics in R 7 Basic plotting functions 8 Advanced plotting functions: ggplot2 9 Visualization of networks Part III: Mathematical basics of data science 10 Mathematics as a language for science 11 Computability and complexity 12 Linear algebra 13 Analysis 14 Differential equations 15 Dynamical systems 16 Graph theory and network analysis 17 Probability theory 18 Optimization Bibliography Index