Learn Computer Graphics From Scratch!
"Thanks for the amazingly thorough Monte Carlo material. Best I've ever seen."

32 lessons, 166 chapters, 450,000 words, C++ source code

Mathematics and Physics for Computer Graphics

Geometry
Mathematical Foundations of Monte Carlo Methods
Monte Carlo Methods in Practice
Matrix Inverse
Jacobi Transformation and Eigenvalue Algorithm
Quaternions
Interpolation
The Mathematics of Shading
Placing a Camera: the LookAt Function
Introduction to Frequency Analysis

Volume 1: Foundations of 3D Rendering

Introduction to Ray Tracing: a Simple Method for Creating 3D Images
Where Do I Start? A Very Gentle Introduction to Computer Graphics Programming
Rendering an Image of a 3D Scene: an Overview
Computing the Pixel Coordinates of a 3D Point
3D Viewing: the Pinhole Camera Model
Rasterization: a Practical Implementation
The Perspective and Orthographic Projection Matrix
An Overview of the Ray-Tracing Rendering Technique
Ray-Tracing: Generating Camera Rays
A Minimal Ray-Tracer: Rendering Simple Shapes (Sphere, Cube, Disk, Plane, etc.)
Ray Tracing: Rendering a Triangle
Introduction to Polygon Meshes
Ray-Tracing a Polygon Mesh
Transforming Objects using Matrices
Introduction to Shading
The Phong Model, Introduction to the Concepts of Shader, Reflection Models and BRDF
Global Illumination and Path Tracing
What's Next?
Bonus: Understanding the Viewport Geometry

Volume 2: Better, Faster, More (2017)

Bézier Curves and Surfaces: the Utah Teapot
Introduction to Acceleration Structures
Rendering Implicit Surfaces and Distance Fields: Sphere Tracing
Volume Rendering for Artists
Volume Rendering for Developers
Distributed Ray-Tracing
Texture Mapping
Depth of Field
Motion Blur
Area Lights
Intuitive Introduction to Anti-Aliasing
Multi-Threading in Rendering

Volume3: Advanced Techniques (2018)

The Infamous Rendering Equation
Bias vs Unbias Path Tracing & the Russian Roulette
Light Transport Algorithms
Intuitive Introduction to Importance Sampling
Subdivision Surfaces
Photon Mapping
Displacement and Bump Mapping
Metaballs and Polygonization of Implicit Fields
Shadow Map and Deep Shadow Maps
NURBS Surfaces

Digital Imaging

Introduction to Light, Color and Color Space
Digital Images: from File to Screen
Simple Image Manipulations

Procedural Generation of Virtual Worlds

Value Noise and Procedural Patterns: Part 1
Perlin Noise: Part 2
Simulating the Colors of the Sky
Simulating Ocean Waves
Simulating Terrain