Here’s a list of free online books that I’ve come across in areas I find interesting – mathematics, statistics, data science, machine learning, etc.

Inclusion should be taken as “weak endorsement” – I haven’t read all these books but at the very least I believe what they’re doing seems interesting. For now this is just a list but I’ll add descriptions and categorize more carefully as I get a chance. (Honestly this list exists partially so I don’t have to Google for books whenever I want to find them…)

Last modified March 9, 2021.

**Books:**

Solon Barocas, Moritz Hardt, Arvind Narayanan. Fairness and machine learning: Limitations and Opportunities. (in progress as of March 2021).

Benjamin Baumer, Daniel Kaplan, and Nicholas Horton. Modern Data Science with R (2nd edition).

Scott Cunningham, Causal Inference: The mixtape

Marc Peter Deisenroth, A. Aldo Faisal, and Cheng Soon Ong, Mathematics for machine learning.

Rick Durrett, Probability: Theory and examples (5th ed)

Jeff Erickson, Algorithms.

Richard Feynman, Robert Leighton, and Matthew Sands. The Feynman Lectures on Physics.

Philippe Flajolet and Robert Sedgwick, Analytic combinatorics. (This was my bible for a while during my PhD…)

Garrett Grolemund and Hadley Wickham, R for data science

Moritz Hardt and Benjamin Recht, Patterns, Predictions and Actions: A story about machine learning.

Trevor Hastie, Robert Tibshirani, and Jerome Friedman. Elements of Statistical Learning.

Kieran Healy, Data visualization, a practical introduction

Miguel Hernan and Jamie Robins, Causal Inference: What If.

Rob Hyndman and George Athanasoupoulos, Forecasting: principles and practice

Gareth James, Daniela Witten, Trevor Hastie and Robert Tibshirani. An Introduction to Statistical Learning.

Alicia A. Johnson, Miles Ott, Mine Dogucu. Bayes Rules! An Introduction to Bayesian Modeling with R (in progress)

Max Kuhn and Julia Silge, Tidy Modeling with R

Max Kuhn and Kjell Johnson, Feature Engineering and Selection: A Practical Approach for Predictive Models

JD Long and Paul Teetor, R Cookbook (2nd edition)

Stephen Melczer, An invitation to analytic combinatorics.

Kevin Murphy, Probabilistic Machine Learning: An Introduction

Christoph Molnar, Interpretable Machine Learning A Guide for Making Black Box Models Explainable

Robin Pemantle and Mark Wilson, Analytic Combinatorics in Several Variables

Darrin Speegle and Bryan Clair, Foundations of Statistics with R.

Cosma Shalizi, Advanced Data Analysis from an Elementary Point of View.

Julia Silge and David Robinson, Text mining with R: A tidy approach

Hadley Wickham, Mastering Shiny

Hadley Wickham, Advanced R (2nd ed). and its solutions: Malte Grosser, Henning Bumann, and Hadley Wickham, Advanced R Solutions

Herb Wilf, Generatingfunctionology; A=B (with Zeilberger and Petkovsek); Algorithms and Complexity; Combinatorial Algorithms (with Nijenhuis); Mathematics for the Physical Sciences.

**Other lists of books:**

Oscar Baruffa’s Big Book of R is a collection of links to books on R.