Mathematical Foundations of Data Science Using R

✍ Scribed by Frank Emmert-Streib; Salissou Moutari; Matthias Dehmer

• Publisher: Gruyter, Walter de GmbH
• Year: 2022
• Tongue: English
• Leaves: 424
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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