programming-math-science
This is a list of links to different freely available learning resources about computer programming, math, and science.
https://github.com/bobeff/programming-math-science
Last synced: about 15 hours ago
JSON representation
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Computer Graphics
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Ray Tracing
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- A raycasting engine in 7 easy steps
- Getting Started With DirectX Raytracing
- How to build a BVH
- Part 1
- Part 2
- Physically Based Rendering: From Theory To Implementation
- Ray-Casting Tutorial For Game Development And Other Purposes
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Demystifying multiple importance sampling
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing with Voxels in C++
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Amanatides and Woo's fast Voxel Traversal
- How to build a BVH
- Ray-Casting Tutorial For Game Development And Other Purposes
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing in One Weekend: The Book Series
- Ray Tracing with Voxels in C++
- Raymarching explained interactively
- Amanatides and Woo's fast Voxel Traversal
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
- Ray Tracing Gems - Möller*
- Ray Tracing Gems II
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Linux command line
- 3D Math Primer for Graphics and Game Development
- A Gentle Introduction to D3D12
- Computer Graphics from Scratch
- GPU Gems
- GPU Gems 2
- GPU Gems 3
- GPU Performance for Game Artists
- Let's Make a Voxel Engine
- Lode's Computer Graphics Tutorial
- Marching Cubes, Explained Using Marching Squares
- Part 1
- Part 2
- Part 1
- Part 2
- RasterTek toturials
- WebGL2 Fundamentals
- Part 1 - The Plan
- Part 2 - Visibility buffer
- Part 3 - Cluster rendering
- Part 4 - LOD generation
- Part 5 - A basic material pass
- Part 6 - LOD generation - faster, better, simpler
- Part 7 - Runtime LOD selection
- Part 8 - Mesh shader time
- Physically Based Rendering in Filament
- Crash Course in BRDF Implementation
- GPU Work Graphs mesh nodes in Microsoft DirectX® 12
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Curves and Surfaces
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Demoscene
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Shaders
- Part 1
- Part 2
- Part 3
- Part I: The blob
- Mesh Shaders on RDNA™ Graphics Cards
- The Book of Shaders
- Mesh Shaders on RDNA™ Graphics Cards
- Introducing GPU Reshape - shader instrumentation for everyone
- Part 1
- Part 2
- Part 3
- GM Shaders - All about shaders for GameMaker!
- Shader Tutorials by Ronja
- 3D Game Shaders For Beginners
- Introduction to Shaders
- Learn Shader Programming with Rick and Morty
- No More Shading Languages: Compiling C++ to Vulkan Shaders
- On Crafting Painterly Shaders
- Post-Processing Shaders as a Creative Medium
- Shaders For People Who Don't Know How To Shader
- The Best Darn Grid Shader (Yet)
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Vulkan
- I Am Graphics And So Can You - a series of blog posts about implementing a Vulkan renderer for Doom 3 by *Dustin H. Land*
- Vulkan Raytracing Tutorials
- How I learned Vulkan and wrote a small game engine with it
- Vulkan – Cross platform 3D Graphics
- Vulkan Guide
- How I learned Vulkan and wrote a small game engine with it
- NVIDIA Vulkan Ray Tracing Tutorial - Karl Lefrançois*, *Pascal Gautron*, *Nia Bickford*, *David Akeley*
- Vulkan Raytracing Tutorials
- Vulkan Tutorial
- Vulkan Tutorial (Rust)
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WebGPU
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OpenGL
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Image Processing
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Static Program Analysis
- Rotations with quaternions
- GPU Programming Primitives for Computer Graphics - Chen Kao*
- Learn Computer Graphics From Scratch
- Lode's Computer Graphics Tutorial
- Matrix Compendium - The main purpose of this article is to gather information in the field of transformation in computer graphics and put it in one place.
- Optimizing Software Occlusion Culling
- Part 1
- Part 2
- Part 3
- Part 1
- Part 2
- Physically based rendering from first principles
- Physically Based Shading in Theory and Practice
- Part 1
- Part 2
- Rasterising a triangle
- Software rasterizing hair
- Texture-less Text Rendering
- The Geometry Behind Normal Maps
- Voxel Engine in a Weekend
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Creative Coding
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DirectX 12
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Programming <span id="programming-competitions">
- A fast and precise triangle rasterizer
- Part 1
- Part 2: Performance
- Blocky Planet — Making Minecraft Spherical
- Part 1: Naive GI: A Foundation
- Part 2: Radiance Cascades
- FrostKiwi's Secrets
- AAA - Analytical Anti-Aliasing
- How to (and how not to) fix color banding
- Video Game Blurs (and how the best one works)
- Fundamentals of Radiance Cascades
- Noise is Beautiful: Part 1: Procedural textures
- Part 1: Procedural textures
- Part 2: Noise is beautiful
- Radiometry: Overview
- Rotations with quaternions
- GPU Performance for Game Artists
- GPU Programming Primitives for Computer Graphics - Chen Kao*
- Implementing a tiny CPU rasterizer
- Implementing Order-Independent Transparency
- Ocean Rendering, Part 1 - Simulation
- Physically Based Shading in Theory and Practice
- Rasterising a triangle
- Part 9 - Raytracing
- Software rasterizing hair
- Texture-less Text Rendering
- The Geometry Behind Normal Maps
- Voxel Engine in a Weekend
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Metal
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AI
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Machine Learning
- Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control
- Deep Learning
- Deep Learning Course
- Deep Learning: Foundations and Concepts
- Dive into Deep Learning Compiler
- Information Theory, Inference, and Learning Algorithms
- Mathematical Introduction to Deep Learning: Methods, Implementations, and Theory
- Mathematics for Machine Learning
- Neural Networks: Zero to Hero - A course by *Andrej Karpathy*
- Physics-based Deep Learning
- Probabilistic Machine Learning: An Introduction
- Probabilistic Machine Learning: Advanced Topics
- The Little Book of Deep Learning
- A Course in Machine Learning
- Deep Reinforcement Learning: Zero to Hero!
- Machine Learning Engineering Book
- Machine Learning Engineering Open Book
- Data Science and Machine Learning: Mathematical and Statistical Methods
- Algorithmic Aspects of Machine Learning
- An Illustrated Guide to Automatic Sparse Differentiation
- Concise Machine Learning
- Data Science and Machine Learning: Mathematical and Statistical Methods
- Deep Learning on Graphs
- Deep Learning with Python, Second Edition
- Dummy's Guide to Modern LLM Sampling
- Foundations of Computer Vision
- Harvard's undergraduate course in Machine Learning
- Introduction to Flow Matching and Diffusion Models
- Introduction to ggml
- Introduction to Machine Learning
- Introduction to Machine Learning
- Introduction to Machine Learning
- Lecture Notes for Machine Learning and Data Science Courses Information School, University of Washington
- Lecture Notes for Machine Learning Theory
- Machine Learning Lecture Notes
- Machine learning with neural networks
- Notes on AutoGrad
- Probabilistic Artificial Intelligence
- Statistical Learning Theory
- The Most Important Machine Learning Equations: A Comprehensive Guide
- The Principles of Deep Learning Theory
- The Principles of Diffusion Models: From Origins to Advances - Hsin Lai*, *Yang Song*, *Dongjun Kim*, *Yuki Mitsufuji*, *Stefano Ermon*
- Theory of Deep Learning
- Tutorial on Diffusion Models for Imaging and Vision
- Speech and Language Processing, 3rd edition
- The Elements of Differentiable Programming
- Learning Theory from First Principles
- Alice’s Adventures in a differentiable wonderland
- Applied Machine Learning for Tabular Data
- Deep Learning Interviews
- Crash Course in Deep Learning (for Computer Graphics)
- The Engineer's Guide To Deep Learning
- A Comprehensive Guide to Machine Learning
- A Course in Machine Learning
- A Gentle Introduction to Graph Neural Networks - Lengeling*, *Emily Reif*, *Adam Pearce* and *Alexander B. Wiltschko*
- Algorithms for Artificial Intelligence
- Alice’s Adventures in a differentiable wonderland
- An Illustrated Guide to Automatic Sparse Differentiation
- An Introduction to Statistical Learning
- Applied Machine Learning for Tabular Data
- The Hundred Page Machine Learning Book
- Machine Learning Engineering Book
- Computer Vision: Algorithms and Applications, 2nd Edition
- Deep Learning Course
- Deep Learning: Foundations and Concepts
- Deep Learning on Graphs
- Dive into Deep Learning
- Foundations of Computer Vision
- Foundations of Machine Learning
- Introduction to Flow Matching and Diffusion Models
- Introduction to Machine Learning Interviews
- Machine Learning Systems
- Neural Networks and Deep Learning
- Patterns, Predictions, and Actions: A story about machine learning
- The Elements of Statistical Learning
- The Engineer's Guide To Deep Learning
- The Little Book of Deep Learning
- The Most Important Machine Learning Equations: A Comprehensive Guide
- Understanding Deep Learning
- How to Scale Your Model: A Systems View of LLMs on TPUs
- Mathematics for Artificial Intelligence Lecure Notes
- Mathematics of Machine Learning
- MIT course
- The Matrix Calculus You Need For Deep Learning
- A Little Bit of Reinforcement Learning from Human Feedback
- Deep Reinforcement Learning
- Distributional Reinforcement Learning
- Multi-Agent Reinforcement Learning: Foundations and Modern Approaches
- A Visual Guide to Quantization: Demystifying the Compression of Large Language Models
- Foundations of Large Language Models
- How to run LLMs on PC at home using Llama.cpp
- Google Machine Learning Education
- Linear Algebra for Computer Vision, Robotics, and Machine Learning
- Mathematical Analysis of Machine Learning Algorithms
- Mathematical Foundations of Machine Learning
- Mathematics for Machine Learning
- Mathematics for Inference and Machine Learning
- Mathematics of Machine Learning
- Mathematics of Machine Learning
- Mathematics of Neural Networks
- Matrix Calculus (for Machine Learning and Beyond)
- MIT course
- GitHub repository
- Optimization for Data Science
- Pen and Paper Exercises in Machine Learning
- The Matrix Calculus You Need For Deep Learning
- Deep Reinforcement Learning
- Mathematical Foundations of Reinforcement Learning
- Reinforcement Learning: An Introduction, Second Edition
- Reinforcement Learning: An Overview
- GNN From Scratch
- Understanding Machine Learning: From Theory to Algorithms - Shwartz* and *Shai Ben-David*
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Computer Games AI
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Vibe Coding and Spec-Driven Development
- Basic Claude Code
- My LLM codegen workflow atm
- Spec-driven development with AI: Get started with a new open source toolkit
- Basic Claude Code
- Disciplined AI Software Development
- Diving Into Spec-Driven Development With GitHub Spec Kit
- How I program with Agents
- How I program with LLMs
- How I Use Every Claude Code Feature
- My LLM codegen workflow atm
- Spec-driven development with AI: Get started with a new open source toolkit
- Vibe Coding Terminal Editor
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Personal Websites and Blogs
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Web Development <span id="web-development-blogs">
- Tania Rascia’s blog
- Frontend Masters
- Josh Comeau's Website - Animation, CSS, JavaScript, React
- nullpt-rs blog
- Hugo Daniel's Blog
- JSLegendDev’s Substack - Web development, game development and their intersection.
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C and C++ <span id="c-and-cpp-blogs">
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Hardware Blogs
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C++ <span id="cpp-blogs">
- The C++ way
- Mathieu Ropert's Blog
- Tomasz Wisniewski's Blog
- Alf on programming (mostly C++)
- Andrzej's C++ Blog
- Asymmetric Transfer
- Bannalia: trivial notes on themes diverse
- Barry's C++ Blog
- Borislav Stanimirov's Website
- Braden Ganetsky's Website
- C++ Metaprogramming
- C++ on a Friday
- C++ Stories
- C++ Truths
- Crascit's Blog
- Cristian Adam's Blog
- Eric Niebler's Blog
- Fluent C++
- foonathan::blog()
- Functional C++
- Just Software Solutions' Blog
- Lu's blog
- Manu Sanchez's Blog
- Marshall's C++ Musings
- Modernes C++
- Molecular Musings
- Moody Camel
- Nibble Stew's Blog
- null program
- Peter Dimov'a Blog
- Preshing on Programming
- Programming Nonsense
- ReachableCode
- Sandor Dargo's Blog
- Simplify C++
- The Old New Thing: Practical development throughout the evolution of Windows
- The Sparkelling Bedangler
- Thinking Asynchronously in C++
- vector-of-bool
- Victor Zverovich's Blog
- Video Cortex
- Vishal Chovatiya's Blog
- Vittorio Romeo's Blog
- Vorbrodt's C++ Blog
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Game and Graphics Programming <span id="game-and-graphics-programming-blogs">
- Alexandru Ene's blog
- Peter Strahle's Blog
- Ryan Kaplan's Blog
- The blog at the bottom of the sea
- 30fps.net: Computer Graphics & Programming with Pekka Väänänen
- A small freedom area
- Adam Sawicki's Blog
- Alan Zucconi's Website - Game Development, Shader Coding & Artificial Intelligence.
- Anton Schreiner's Blog
- Aras Pranckevičius's Website
- Bits, pixels, cycles and more
- Bumbershoot Software Blog
- c0de517e's weblore
- Chema Guerra's Blog
- Cyanilux Game Dev Blog & Tutorials
- DirectX Developer Blog
- Eric Arnebäck's Blog
- Eurographics Digital Library
- Evolve Benchmark
- Fabien Sanglard's Website
- Forward Scattering
- Frozen Fractal
- Graphics Programming weekly
- Ignacio Castaño's Blog
- imad's website
- Interplay of Light
- Irradiance Blog
- Jacco Bikker's Blog
- Jason Mcghee's Blog
- JMS55's Blog
- John Novak's Website
- lisyarus blog
- Martin Fuller's Graphics Ramblings
- Maister's Graphics Adventures - Kristian Arntzen*
- Matt Pharr’s blog
- Max Slater's Blog: Computer Graphics, Programming, and Math
- Maxime Heckel's Blog
- Moments in Graphics
- Nikolaos Papadopoulos' Blog
- Of Shaders & Triangles
- Pikuma's Blog
- Randy Gaul's Game Programming Blog
- RayLib Help
- Red Blob Games - Interactive visual explanations of math and algorithms, using motivating examples from computer games by *Amit Patel*
- Rendering Engine Architecture Conference - A conference about the craft of real-time rendering systems.
- Rubén Osorio's Blog
- Self Shadow
- Stephen Sherratt's Blog
- The Brain Dump
- The Code Corsair
- The Danger Zone
- The Journal of Computer Graphics Techniques
- The ryg blog
- wassimulato
- hexaquo
- Zero Radiance
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Mixed Programming <span id="mixed-programming-blogs">
- Matt Godbolt's Blog
- Anubhav Nain's Blog
- Justin Meiners's Blog
- Martin Janiczek's Blog
- Pointers Gone Wild - Boisvert*
- Eli Bendersky's website
- Max Bernstein's Blog
- Simon Willison's Weblog
- TK Kinoshita's Blog
- Bradley Chatha's D Blog
- 0pfs
- A Random Walk Through Geek-Space
- Aaro Luomanen's Blog
- Alberto Ventafridda's Blog
- Amit's Thoughts
- Andreas Herrmann's Blog
- Andrew Gallant's Blog
- Andrew Healey's Blog
- Andrey Listopadov's Blog
- Anton Zhiyanov's Blog
- Arjun Sreedharan's Blog
- Artem Krylysov's Blog
- Austin Z. Henley's Blog
- Bartosz Milewski's Programming Cafe
- Beej's Home Page
- Chris Loy's Blog
- Chris Penner's Blog
- Chris Warbo's Blog
- Chuniversiteit
- Considerations on Codecrafting
- Dan Hollick's Blog
- Daniel Fedorin's Blog
- Daniel Hooper's Blog
- Daniel Lemire's Blog
- Dayvi Schuster's Blog
- Digital Grove
- Dissecting the Code
- Edoardo Putti's Blog
- Educated Guesswork
- Entropic Thoughts
- Evan Ovadia's Blog
- Fernando Borretti's Website
- Francesco Mazzoli's Blog
- Games by Mason
- Gerneral Protection Fault
- Giles' blog
- glfmn.io
- Interjected Future
- IT Hare on Soft.ware
- James Oswald's Blog
- Jan Wedekind's Blog
- Jamie Brandon's Blog
- Jari Komppa's Website
- Jaz's Blog
- Jens Gustedt's Blog
- Joe Mckay's Blog
- Jonathan Marler's Blog
- Julia Evans
- Karl Seguin's Blog
- Karl Zylinski'a Website
- KC Sivaramakrishnan's Blog
- Lei Xia's Blog
- Loris Cro's Personal Website
- Mario's Lab
- Martin Uecker's Blog
- MALTSEV.SPACE
- mcyoung
- Melatoni's Blog
- Mikael Zayenz Lagerkvist's Personal Website
- MonoidMusicianʼs Blog
- Nicholas Nethercote's Blog
- Nicolas Rinaudo's Blog
- Niko Matsakis's Blog
- NULL BITMAP
- NULL on error - Flipping bits whilst updating pixels by *Rodrigo Delduca*
- Omar Aflak's Blog
- Owen Shepherd's Blog
- Paul Smith's Blog
- Phil Eaton's Website
- Playing with code
- TinyRenderer: Software rendering in 500 lines of bare C++
- TinyCompiler: a compiler in a week-end
- TinyOptimizer: an optimizing compiler challenge
- Cursed fire or #define black magic
- author's GitHub
- Tiny renderer or how OpenGL works: software rendering in 500 lines of code
- Understandable RayTracing in 256 lines of bare C++
- KABOOM! in 180 lines of bare C++
- Least squares for programmers
- Probably Dance
- protty
- purplesyringa
- Racey Chan's Blog
- Rahman Sibahi's Blog
- Rahul Gopinath's Blog
- RasterGrid
- Reasonably Polymorphic
- Sam Rose's Blog
- Serge Skoredin's Blog
- Squadrick
- Stephen Diehl's Blog
- stuffwithstuff
- Syed Jafar Naqvi's Blog
- The If Works
- Theia Vogel's Blog
- Thomas Leonard's blog
- Vectorized
- Vladimir Makarov's Blog
- xnacly - blog
- Zaid Humayun's Blog
- Lesley Lai's Blog
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Performance and Optimization <span id="performance-and-optimization-blogs">
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Math and Physics <span id="math-and-physics-blogs">
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AI <span id="ai-blogs">
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Other Blogs
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Algorithms
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Computer Games AI
- Foundations of Data Science
- Algorithms
- Algorithms and Data Structures
- Algorithms for Optimization
- The Arcane Algorithm Archive
- Competitive Programming Algorithms
- Competitive Programmer's Handbook
- Exact String Matching Algorithms
- How does B-tree make your queries fast?
- Introduction to Algorithms: A Creative Approach
- Planning Algorithms
- Principles of Algorithmic Problem Solving
- Purely Functional Data Structures
- Sequential and Parallel Data Structures and Algorithms: The Basic Toolbox
- Monte-Carlo Graph Search from First Principles
- Collision Detection
- Data Structures for Data-Intensive Applications: Tradeoffs and Design Guidelines
-
Vibe Coding and Spec-Driven Development
- Algorithms in C
- Functional Data Structures and Algorithms: A Proof Assistant Approach - Londoño*, *Peter Lammich*, *Christian Sternagel*, *Simon Wimmer*, *Bohua Zhan*
- A First Course on Data Structures in Python
- Advanced Algorithms
- Advanced Algorithm Design
- Advanced Algorithm Design
- Advanced Data Structures
- Algorithms Books
- Algorithms for Optimization
- Algorithms for Decision Making
- Algorithms for Validation
- Algorithms Design (in C)
- Algorithms for Inference
- Algorithms for Modern Hardware
- An Open Guide to Data Structures and Algorithms
- Book of All-pairs Shortest Paths
- Collision Detection
- A First Course on Data Structures in Python
- Advanced Algorithms
- Advanced Algorithms
- Advanced Algorithms
- Advanced Algorithm Design
- Advanced Data Structures
- Algorithms - Peled* **[pdf]**
- Algorithms, 4th Edition
- Algorithms for Decision Making
- Algorithms for Validation
- Algorithms Design (in C)
- Algorithms for Inference
- Algorithms for Massive Data
- An Open Guide to Data Structures and Algorithms
- Approximation Algorithms
- Book of All-pairs Shortest Paths
- Clever Algorithms: Nature-Inspired Programming Recipes
- Data Structure Visualizations
- Data Structures & Algorithm Analysis
- Data Structures & Algorithms in C++, Second Edition
- Design and Analysis of Algorithms
- Exact String Matching Algorithms
- Introduction to Multi-Armed Bandits
- Kalman Filter from the Ground Up
- Lecture Notes on Quantum Algorithms
- Let's build a Full-Text Search engine
- Matters Computational: Ideas, Algorithms, Source Code
- Notes on Data Structures and Programming Techniques
- Notes on Randomized Algorithms
- Problem Solving with Algorithms and Data Structures using Python
- The Skyline algorithm for packing 2D rectangles
- Think Data Structures
- Tim Roughgarden's Courses and Lecture Notes
- Algorithmic Game Theory
- Data Structure Visualizations
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Date-time
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Bloom Filters
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Diff Algorithms
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Command Line and Tools
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Computer Games AI
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Linux command line
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Curl
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Diff Algorithms
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Art
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Computer Games AI
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Biology
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Computer Games AI
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-
Command line and tools
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Computer Games AI
- Driving Compilers
- Getting started with tmux
- NixOS & Flakes Book - An unofficial book for beginners by *Ryan Yin*
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Curl
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Compilers and Interpreters
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Linux command line
- Part 1
- Part 2: Building a baseline JIT for Lua automatically
- Creating the Bolt Compiler
- How Clang Compiles a Function
- How LLVM Optimizes a Function
- Part 1
- Part 2
- Part 3
- Part 1: Introduction, selecting a language, and doing some planning
- Part 2: A lexer
- Part 3: A parser
- Part 4: Testing
- Part 5: A code generator
- Part 6: Input and output
- Part 7: Arrays
- Part 8: Strings, forward references, and conclusion
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Static Program Analysis
-
Programming <span id="programming-competitions">
- A Compiler Writing Journey
- A practical introduction to parsing
- Part 1
- Part 2
- Compiler Design in C
- Essentials of Compilation: An Incremental Approach
- Graal Truffle tutorial
- Part 2: Precedence and associativity in recursive descent
- Part 3: Packrat parsing: a top-down performance improvement
- Let's Build a Compiler
- Low-Level Software Security for Compiler Developers
- Threaded code
- Writing a C compiler in 500 lines of Python
- Writing a C Compiler, in Zig
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Computer Networks and Network Programming
-
WebGPU
- HTTP/3 explained
- Networking 101
- Computer Network Tutorials
- Mediocre Engineer’s guide to HTTPS
- Computer Network Tutorials
- A comprehensive guide for Linux Network (Socket) programming
- An Introduction to Computer Networks
- Computer Networks: A Systems Approach
- Concurrent Servers
- HTTP2 Explained
- HTTP/3 explained
- Implementing fast TCP fingerprinting with eBPF
- Implementing TCP In Rust
- Part 1: Ethernet & ARP
- Part 2: IPv4 & ICMPv4
- Part 3: TCP Basics & Handshake
- Part 4: TCP Data Flow & Socket API
- Part 5: TCP Retransmission
- Networking 101
- Visual guide to SSH tunneling and port forwarding
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Cryptography
-
WebGPU
- Cryptography: An Introduction (3rd Edition)
- Practical Cryptography for Developers
- A Graduate Course in Applied Cryptography
- Advanced Topics in Cryptography: From Lattices to Program Obfuscation
- All I Know About Certificates
- Coding Theory & Cryptography
- The Beginner's Textbook for Fully Homomorphic Encryption
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Programming languages
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Go
- REST Servers in Go
- Network Programming with Go
- Go Optimization Guide
- A comprehensive guide to go generate
- Accessing PostgreSQL databases in Go
- Embedding in Go
- Generic functions on slices with Go type parameters
- Go internals: invariance and memory layout of slices
- Higher-order functions in Go
- Memory Allocation in Go
- Notes on running Go in the browser with WebAssembly
- Practical Go Lessons
- Ranging over functions in Go 1.23
- The Y combinator in Go with generics
- Go HTTPS servers with TLS
- Go socket servers with TLS
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Simulations
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Assembly
- A fundamental introduction to x86 assembly programming
- Part 0 - Setup and First Steps
- Part 1 - Metaprogramming in Flat Assembler
- Part 2 - We're Writing a Virtual Machine
- Part 3 - Arithmetic and Logic
- RISC-V Assembly Programming
- x86-64 Assembly Language Programming with Ubuntu
- Part 1: Hello
- An interactive guide to x86-64 assembly
- Easy RISC-V
- FFmpeg School of Assembly Language
- Learn Assembly Language - NASM x86 assembly language tutorial on Linux.
- Programming from the Ground Up
- Learn x86-64 assembly by writing a GUI from scratch
- Part 4 - More About Jumps Than You Wanted To Know
- NASM Tutorial
- PC Assembly Language
- RISC-V Assembly Programming
- The Art of Assembly Language
- Understanding Windows x64 Assembly
- x86-64 Assembly Language Programming with Ubuntu
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Basic
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C
- Compiler Options Hardening Guide for C and C++
- Coroutines in C
- Demystifying bitwise operations, a gentle C tutorial
- Object-Oriented Programming with ANSI-C - Tobias Schreiner* **[pdf]**
- So You Think You Know C?
- Writing a Simple Garbage Collector in C
- How to implement a hash table (in C)
- Implementing smart pointers for the C programming language
- Extreme C
- Few lesser known tricks, quirks and features of C
- Hacking Coroutines into C
- Hacktical C: A practical hacker's guide to the C programming language
- How to implement a hash table (in C)
- I Write Type Safe Generic Data Structures in C
- Modern C
- The C Book
- The Lost Art of Structure Packing
-
C++ <span id="cpp">
- Awesome Modern C++
- C++ exceptions under the hood
- C++20 Coroutines: sketching a minimal async framework
- C++20 Concepts: The Definitive Guide
- Fiber in C++: Understanding the Basics
- Hacking C++
- Microsoft C++ language documentation
- Performance Analysis and Tunning on Modern CPUs
- The Boost C++ Libraries
- Part 2: Memory Usage Case Study
- Part 3: Memory Footprint with SDE
- Part 4: Memory Footprint Case Study
- Part 5. Data Locality and Reuse Distances
- Efficient Programming with Components
- Part 4: Catching what you throw
- Part 14: Multiple landing pads & the teachings of the guru
- Part 8: Two-phase handling
- Part 20: Running destructors while unwinding
- Appendix II: Metaclasses and RTTI on C++
- Appendix III: RTTI and exceptions orthogonality
- C++ Core Guidelines
- C++20 Coroutines: sketching a minimal async framework
- C++20 Concepts: The Definitive Guide
- Effective Modern C++
- Fiber in C++: Understanding the Basics
- Hacking C++
- Learn C++
- Learning to read C++ compiler errors: Not a legal base class
- Microsoft C++ language documentation
- More C++ Idioms
- My Favorite C++ Pattern: X Macros
- Philosophy of coroutines
- The Boost C++ Libraries
- Part 1: Concept art
- Part 2: Using a std::list
- Part 3: Using a std::vector
- Part 4: Using a circular doubly linked list
- Part 5: Copying our tracking pointer
- Part 6: Non-modifying trackers
- Part 7: Non-modifying trackers, second try
- Part 8: Tracking const objects
- Part 9: Conversion
- Part 10: Proper conversion
- Part 11: Repairing assignment
- Part 12: A shared tracking pointer
- Part 13: Restoring the strong exception guarantee
- Part 14: Nonthrowing moves with the shared tracking pointer
- Part 15: A custom shared pointer
- Part 16: Second attempt to use a list
-
D
-
Haskell
-
Java
-
JavaScript
-
Lisp dialects
- Babashka Babooka: Write Command-Line Clojure
- Clojure Concurrency Tutorial
- Clojure for the Brave and True
- Learn Lisp The Hard Way
- Successful Lisp: How to Understand and Use Common Lisp
- Typed Lisp, A Primer - hassy*
- Part II
- Beautiful Racket
- How to Design Programs
- Structure and Interpretation of Computer Programs
- Babashka Babooka: Write Command-Line Clojure
- Part 1: ECS and Metalinguistic Abstraction
- Part 2: Dungeons and Interfaces
- Learn Lisp The Hard Way
- On Lisp
- Practical Common Lisp
- The Common Lisp Cookbook
- Typed Lisp, A Primer - hassy*
- Part I
- Part II
- Programming Languages: Application and Interpretation
- (learn 'scheme)
-
Nim
-
OCaml
-
Oberon-2
-
Pascal
-
PostScript
-
Prolog
-
Pyret
-
Python
- Composing Programs
- From Python to Numpy
- Learn Python the Right Way
- Practical Python Programming
- Python Asyncio: The Complete Guide
- Python for Data Analysis, 3rd edition
- NumPy Illustrated: The Visual Guide to NumPy
- NumPy Illustrated: The Visual Guide to NumPy
- Pandas Illustrated: The Definitive Visual Guide to Pandas
- NumPy Illustrated: The Visual Guide to NumPy
- Pandas Illustrated: The Definitive Visual Guide to Pandas
- Think Python, 3rd Edition
- Data Structures and Information Retrieval in Python
- From Python to Numpy
- How to Think Like a Computer Scientist: Interactive Edition
- Introduction to Computer Programming with Python
- Introduction to Python Programming
- Invent With Python
- NumPy Illustrated: The Visual Guide to NumPy
- Pandas Illustrated: The Definitive Visual Guide to Pandas
- How Python Asyncio Works: Recreating it from Scratch
- Modern Good Practices for Python Development
- NumPy Illustrated: The Visual Guide to NumPy
- Pandas Illustrated: The Definitive Visual Guide to Pandas
- NumPy Illustrated: The Visual Guide to NumPy
- Test-Driven Development with Python
- Architecture Patterns with Python
- Real Python - A collection of Python tutorials.
- Full Stack Python
- Automate the Boring Stuff with Python
- Python Design Patterns
- 30 Days Of Python
- Composing Programs
- Computational Discovery on Jupyter
- Audio, Video, and Webcams in Python (Lost Chapter from Automate the Boring Stuff)
- Beyond the Basic Stuff with Python
- Cracking Codes with Python
- Invent Your Own Computer Games with Python
- Making Games with Python & Pygame
- Python Programming Exercises, Gently Explained
- Scratch 3 Programming Playground
- The Big Book of Small Python Projects
- The Recursive Book of Recursion
- Learn Python the Right Way
- NumPy Illustrated: The Visual Guide to NumPy
- Pandas Illustrated: The Definitive Visual Guide to Pandas
- Planet Python
- Python & OpenGL for Scientific Visualization
- Python Asyncio: The Complete Guide
- Python Courses
- Python Data Science Handbook
- Python for Data Analysis, 3rd edition
- Python Programming for Economics and Finance
- Scientific Visualization: Python + Matplotlib
- The Ultimate Guide to Error Handling in Python
- Think Python, 2nd Edition
- Wicked Python trickery - dynamically patch a Python function's source code at runtime
-
Regular expressions
-
Rust
- A Gentle Introduction to Rust
- Beginner's guide to Error Handling in Rust
- Effective Rust
- Exploring ways to make async Rust easier
- Learning Async Rust With Entirely Too Many Web Servers
- Rust Atomics and Locks: Low-Level Concurrency in Practice
- Things you can’t do in Rust (and what to do instead)
- 100 Exercises To Learn Rust
- 100 Exercises To Learn Rust
- Async Rust in Three Parts
- Asynchronous Programming in Rust
- Beginner's guide to Error Handling in Rust
- C++ to Rust Phrasebook
- Clear explanation of Rust’s module system
- Comprehensive Rust
- Dependency Injection like Bevy Engine from Scratch
- Effective Rust
- Exploring ways to make async Rust easier
- Learning Async Rust With Entirely Too Many Web Servers
- No-Panic Rust: A Nice Technique for Systems Programming
- Rust Atomics and Locks: Low-Level Concurrency in Practice
- Rust data structures with circular references
- Rust Language Cheat Sheet
- Testing multiple implementations of a trait in Rust
- Things you can’t do in Rust (and what to do instead)
-
Smalltalk
- Smalltalk Resources - A list of free smalltalk books.
- Smalltalk Resources - A list of free smalltalk books.
-
Forth
-
Odin
-
Ada
-
Operating Systems Development
-
CMake
-
Bash
-
C# <span id="c-sharp">
-
Cuda
-
Datalog
-
Erlang
-
Jai
-
Lean
-
R
- Big Book of R
- Efficient R Programming
- R for Data Science (2e) - Rundel*, *Garrett Grolemund*
-
Ruby
-
Ya
-
Zig
-
-
Debuggers
-
WebGPU
- How Does a C Debugger Work?
- Part 1 - Attaching to a Process
- Part 2 - Register State and Stepping
- Part 3 - Reading Memory
- Part 4 - Exports and Private Symbols
- Part 5 - Breakpoints
- Part 6 - Stacks
- Part 8 - Source and Symbols
- Part 7 - Disassembly
- Debugging with GDB
- How Does a C Debugger Work?
- Writing a Linux Debugger
- Part 1 - Attaching to a Process
- Part 2 - Register State and Stepping
- Part 3 - Reading Memory
- Part 4 - Exports and Private Symbols
- Part 5 - Breakpoints
- Part 6 - Stacks
- Part 7 - Disassembly
- Part 8 - Source and Symbols
-
-
Databases
-
WebGPU
-
Databases Development
- Concurrency Control and Recovery in Database Systems
- Jacob's blog: On database building blocks
- A B+Tree Node Underflows: Merge or Borrow?
- Cache-Friendly B+Tree Nodes With Dynamic Fanout
- Let's Build a Simple Database
- Build Your Own Redis with C/C++
- B-trees and database indexes
- Build Your Own Database From Scratch in Go
- Part 1: Listing tables
- Part 2: Scanning large tables
- Part 3: SQL parsing 101
- Part 4: reading tables metadata
- Part 5: Evaluating queries
-
NoSQL
-
SQL
- Mode's SQL Tutorial
- SQL Tutorial - Master SQL quickly and effectively with clear concepts, hands-on examples, and interactive quizzes.
- SQL for the Weary
- SQLZap - Learn SQL with for Free.
- MySQL for Developers
- The Internals of PostgreSQL
- Oracle Tutorial
- SQLBolt - Learn SQL with simple, interactive exercises.
- SQLZoo - SQL Tutorial.
- MySQL Tutorial
- PostgreSQL Tutorial
-
-
Design Patterns
-
WebGPU
-
SQL
- Building abstractions using higher-order functions
- Data Engineering Design Patterns (DEDP)
- Data-Oriented Design
- Design Patterns & Refactoring
- Decorators and Functional programming
- Design Patterns You Should Unlearn in Python: Part1
- Design Patterns You Should Unlearn in Python: Part2
- Most Design Patterns Are Just Dependency Injection in Disguise
- Part 1
- Part 2
- Part 3
- The expression problem and Rust
- From design patterns to category theory
- Game Programming Patterns
- Indices, not Pointers
- Multiple Dispatch Series
- Plugins Series
- The Architecture of Open Source Applications
-
-
Distributed systems
-
WebGPU
-
SQL
- Distributed systems for fun and profit
- Implementing Raft
- Linearizability in distributed systems
- Notes on Theory of Distributed Systems
- Patterns of Distributed Systems
- Principles of Blockchains
- Rewriting Kafka in Rust Async: Insights and Lessons Learned in Rust
- Testing Distributed Systems - Curated list of resources on testing distributed systems by *Andrey Satarin*.
- Implementing the Raft distributed consensus protocol in Go
-
-
Electronics
-
Emulators and Virtual Machines
-
WebGPU
-
SQL
-
-
Game Programming
-
WebGPU
-
Game Engines
-
SQL
- CSCI 181G PO: Game Engine Programming Course
- Game Engineering
- How to program a text adventure in C
- Isometric Projection in Game Development
- Isometric Tutorials
- Procedural Content Generation in Games
- Part 1
- Part 2
- Part 3
- Part 4
- Part 5
- Part 6
- Programming Vehicles in Games
- Retro Rampage - A tutorial series in which you will learn how to build a Wolfenstein-like game from scratch, in Swift by *Nick Lockwood*
- Roguelike Tutorial - In Rust
- Terrain programmig
- The guide to implementing 2D platformers
- A First-Person Game in 2KB
- 3D Game Engine Programming
-
Game Physics
- 2D Cloth Simulation in Odin with raylib
- iforce2d - A collection of programming resources, mainly focusing on 2D games development with Box2D.
- Ten Minute Physics
-
-
GUI Programming
-
Game Engines
-
Lists of programming projects to try to implement
-
-
Hardware
-
Game Engines
-
Lists of programming projects to try to implement
-
-
Logical Games
-
Game Engines
-
Lists of programming projects to try to implement
-
-
Low Level Stuff
-
Game Engines
-
SIMD programming
-
Lists of programming projects to try to implement
- A gentle introduction to two's complement
- Computer Science from the Bottom Up
- CPU performance optimization guide - Preface
- Part 1
- Floating Point Visually Explained
- Group Borrowing: Zero-Cost Memory Safety with Fewer Restrictions
- Memory Management Reference
- Performance Analysis and Tunning on Modern CPUs
- Pointer Tagging in C++: The Art of Packing Bits Into a Pointer
- Stack frame layout on x86-64
- Part 1: C
- Part 2: C++ and RAII
- Part 3: C++ Smart Pointers
- Part 4: Rust Ownership and Borrowing
- Part 5: Fighting with Rust
- Part 6: Basic Garbage Collection
- Part 7: Advanced Garbage Collection
- What Every Computer Scientist Should Know About Floating-Point Arithmetic
- Matrix Multiplication Optimization Article Series
- Advanced Matrix Multiplication Optimization on Modern Multi-Core Processors
- Advanced Matrix Multiplication Optimization on NVIDIA GPUs
- Matrix Core Programming on AMD CDNA3 and CDNA4 architecture
-
GPU and TPU Programming
-
-
Math
-
Game Engines
- 3Blue1Brown lessons
- A Gentle Introduction to Tensors
- A Programmer's Introduction to Mathematics
- An Infinite Descent into Pure Mathematics
- An Infinitely Large Napkin
- An introduction to graph theory
- Books by *Dr. Kenneth Kuttler*
- Euclid's Elements
- Everything You Always Wanted To Know About Mathematics
- Introduction to Homotopy Type Theory
- Paul's Online Math Notes
- The Princeton Companion to Mathematics - editor* **[pdf]**
- A Gentle Introduction to the Art of Mathematics
- Approved Textbooks
- An animated introduction to Fourier Series
-
Algebra
- Algebra: An Elementary Text-Book
- Intermediate Algebra
- Linear Algebra Done Wrong
- Immersive Linear Algebra - Möller*
- Abstract Algebra - Tong Siu*, notes by *Dongryul Kim* **[pdf]**
- Advanced Modern Algebra
- Algebra: An Elementary Text-Book
- Algebraic Combinatorics
- Introduction to Abstract Algebra
- Learn you Galois Fields for Great Good
- Lectures on Abstract Algebra
- The Rising Sea: Foundations Of Algebraic Geometry Notes
- Graphical Linear Algebra
- Interactive Linear Algebra
- Introduction to Applied Linear Algebra – Vectors, Matrices, and Least Squares
- Linear Algebra
- Linear Algebra, Fourth edition
- Linear Algebra Done Right
- Linear Algebra for Computer Science
- Linear Algebra Lecture Notes by Terence Tao
- Notes for Computational Linear Algebra
- Numerical Linear Algebra
- The Little Book of Linear Algebra - Tam Nguyen*
-
Calculus
- Calculus Made Easy
- Introduction to Calculus
- Advanced Multivariable Calculus
- Calculus
- Calculus 1 for Honours Mathematics
- Calculus Made Easy
- Calculus with Julia
- CLP Calculus Textbooks
- Complex Analysis
- Problems and Solutions
- Derivatives, Gradients, Jacobians and Hessians
- Elementary Calculus
- Harmonic Function Theory
- Integration Theory
- Multivariable Calculus Lectures
- Principles of Mathematical Analysis
- Real Analysis
- Lectures on Vector Calculus
- Vector and Complex Calculus for the Physical Sciences
- Vector Calculus
- Vector Calculus
- Vector Calculus
- Calculus for Mathematicians, Computer Scientists, and Physicists
-
Category Theory
- Category Theory for Programming
- Category Theory: Lecture Notes and Online Books - collection by *Peter Smith*
- Seven Sketches in Compositionality: An Invitation to Applied Category Theory
- Category Theory for Programmers
- Category Theory Illustrated
- Category Theory in Programming
- Pragmatic Category Theory
- Seven Sketches in Compositionality: An Invitation to Applied Category Theory
-
Probability and Statistics
- Bayes Rules! An Introduction to Applied Bayesian Modeling
- Digital textbook on probability and statistics
- Introduction to Probability for Data Science
- Probability and Statistics Cookbook
- Advanced Data Analysis from an Elementary Point of View
- Advanced Probability - Nielsen* **[pdf]**
- All of Statistics: A concise Course in Statistical Inference
- AnyDice
- Bayesian Data Analysis, Third Edition
- Digital textbook on probability and statistics
- Elementary Probability for Applications
- Fundamentals of Probability
- Introduction to Modern Statistics (2nd Ed) - Rundel and Johanna Hardin*
- Probability 101, the intuition behind martingales and solving problems with them
- High-Dimensional Probability: An Introduction with Applications in Data Science
- High-Dimensional Statistics - Christian Hütter*
- Introduction to Modern Statistics (2nd Ed) - Rundel and Johanna Hardin*
- Lecture Notes on Probability
- Lecture Notes on Probability Statistics and Linear Algebra
- Markov Chains for programmers
- Modern Discrete Probability: An Essential Toolkit
- Notes on Counting and Rapidly Mixing Markov Chains
- Notes on Probability
- One Thousand Exercises in Probability
- OpenIntro Statistics, Fourth Edition - Rundel*, and *Christopher D Barr* **[pdf]**
- Probability and Statistics: The Science of Uncertainty, Second Edition
- Probability and Statistics for Data Science - Granda* **[pdf]**
- Probability for Computer Scientists
- Probability for Computer Scientists
- Probability in High Dimension
- Probability in High Dimensions
- Probability Theory
- Other course materials
- Probability Theory & Computational Mathematics
- Probability with Engineering Applications
- Probability: Theory and Examples
- Seeing Theory - a book about statistics with interactive visualizations by *Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang*
- Statistical Inference, Second Edition
- Statistics Handbook
- Stochastic Processes
- The Truth About Linear Regression
-
Theoretical Computer Science
- Busy Beavers! - An interactive intro to Computability Theory
- Elements of Programming
- Foundations of Computer Science
- Mathematics and Computation
- Notes on Discrete Mathematics
- Type Theory & Functional Programming
- What Can Be Computed?: A Practical Guide to the Theory of Computation
- Software Foundations - A broad introduction to the mathematical underpinnings of reliable software.
- An Introduction to Abstract Mathematics
- Analytic Combinatorics
- Busy Beavers! - An interactive intro to Computability Theory
- Computational Complexity: A Modern Approach
- Discrete Mathematical Modeling
- Discrete Mathematics
- Discrete Mathematics: An Open Introduction, 4th Edition
- Discrete Mathematics and Its Applications, Eighth Edition
- Edsger W. Dijkstra Archive
- Elements of Programming
- Foundations of Computer Science
- Great Ideas in Theoretical Computer Science
- Introduction to Theoretical Computer Science
- Introduction to University Mathematics
- Mathematical Foundations of Computing
- Mathematical Techniques for Algorithm Analysis
- Mathematical Techniques for Computer Science
- Mathematics for Computer Science
- Mathematics for Computer Science
- Mathematics for Computer Science
- Notation as a Tool of Thought
- Notes on Computational Complexity Theory
- Mathematics and Computation: A Theory Revolutionizing Technology and Science
-
Topology
-
SIMD programming
- Reductive Groups
- Course notes by Kenneth R. Davidson
- Measure Theory
- Nest Algebras
- Real Analysis
- Rigorous Calculus
- Course notes by Rajen Shah
- Mathematics of Machine Learning
- Modern Statistical Methods
- Principles of Statistics
- Statistical Modelling
- Course Notes by Richard Weber
- Markov Chains
- Mathematics of Operational Research
- Optimization
- Optimization and Control
- Probability
- Statistics
- Time Series
- Course notes by Tom Leinster
- Category theory
- Fourier analysis
- Galois theory
- General topology
- Linear algebra
- Foundations of Mathematics
- How do undergraduates do mathematics?
- Intermediate Calculus and Linear Algebra
- Introduction to Applied Mathematics
- Introduction to Stochastic Calculus - Ha*
- Lecuture Notes by Aditya Guntuboyina
- Analysis of Time Series
- Introduction to Probability at an advanced level
- Theoretical Statistics
- Lecture Notes by Ian Tice
- A crash course in complex analysis
- A crash course in interpolation theory
- Derivation of the fluid equations
- Fluid-solid interaction
- From Stokes flow to Darcy's law
- Gamma-convergence of the Ginzburg-Landau energy
- Linear constant coefficient ordinary differential systems
- Monstrous Functions
- Quasilinear symmetric hyperbolic systems
- Calculus 1
- Complex Analysis with Applications
- Functional Analysis
- Measure Theory
- Topics in Mathematical Physics
- Homeworks and other courses materials
- Lecture Notes by John K. Hunter
- Applied Analysis
- Applied Mathematics
- Asymptotics
- Introduction to Analysis
- Measure Theory
- Partial Differential Equations
- Lecture Notes by Omer Tamuz
- General Equilibrium Theory
- Graduate Real Analysis
- Multivariate Calculus
- Probability: Random Walks
- Probability
- The Value and Cost of Information
- Undergraduate Game Theory
- Lecture Notes by Seongjai Kim
- Calculus Lectures
- Fundamentals of Numerical Linear Algebra
- Heterogeneity in Computational Environments
- Linear Algebra with Applications
- Mathematical Foundations of Machine Learning
- Numerical Analysis and Applications with Music
- Numerical Methods for Partial Differential Equations
- Programming Basics and AI with Matlab and Python
- Math Alive - lecture notes on:
- Math Planet
- Mathematical Methods for Computer Vision, Robotics, and Graphics
- Mathematical Methods for Physics
- Problem sheets and solutions
- Mathematics for the Physical Sciences
- Menthal Math Tricks
- Notes on Mathematics For Engineers
- Open Mathematics Depository
- Open textbooks for undergraduate mathematics
- Precalculus
- Real Not Complex - Discover Incredible FREE Resources to Study MathemF comilatics.
- Feynman's Trick a.k.a. Differentiation under the Integral Sign & Leibniz Integral Rule
- Modular Functions and Modular Forms
- A Gentle Introduction to the Art of Mathematics
- Algebra, Topology, Differential Calculus, and Optimization Theory For Computer Science and Machine Learning
- An Infinite Descent into Pure Mathematics
- An Introduction to Tensors for Students of Physics and Engineering
- Approved Textbooks
- Books and papers by *Professor Dimitry P. Bertsekas*
- Books of Shlomo Sternberg
- Advanced Calcululs
- Dynamical Systems
- Lie algebras
- Semi-classical analysis
- Semi-Riemann Geometry and General Relativity
- Theory of functions of a real variable
- Courses and lecture notes by Jeffrey Robert Chasnov
- Applied Linear Algebra and Differential Equations
- Calculus for Engineers
- Differential Equations for Engineers
- Differential Equations: Review with YouTube Examples
- Differential Equations
- Fibonacci Numbers and the Golden Ratio
- Flow Around a Cylinder
- Mathematical Biology
- Matrix Algebra for Engineers
- Numerical Methods for Engineers
- Numerical Methods
- Scientific Computing
- Vector Calculus for Engineers
- Cournse Notes and Books by Curtis T. McMullen
- Complex Dynamics and Renormalization
- Renormalization and 3-Manifolds which Fiber over the Circle
- Advanced Complex Analysis
- Advanced Real Analysis
- Algebra and Dynamics
- Complex Analysis on Riemann Surfaces
- Ergodic theory, geometry and dynamics
- From Conformal Invariants to Percolation
- Probability Theory
- Real Analysis
- Riemann surfaces, dynamics and geometry
- Sets, Groups and Knots
- Topology
- Course notes by J.S. Milne
- Abelian Varieties
- Algebraic Geometry
- Algebraic Number Theory
- Class Field Theory
- Complex Multiplication
- Fields and Galois Theory
- Group Theory
- Lectures on Etale Cohomology
- Lie Algebras, Algebraic Groups, and Lie Groups
- Street-Fighting Mathematics - Course teaches the art of guessing results and solving problems without doing a proof or an exact calculation by *Sanjoy Mahajan*
- Teaching notes by Oliver Knill
- Differential Geometry
- Introduction to Calculus
- Linear Algebra And Vector Calculus
- Linear Algebra And Vector Calculus I
- Linear Algebra And Vector Calculus II
- Multivariable Calculus
- Probability Theory
- Teaching Mathematics with a Historical Perspective
- Texts, exercises, problems and lecture notes by John Erdman
- Exercises and Problems in Calculus
- A ProblemText in Advanced Calculus
- Exercises and Problems in Linear Algebra
- Companion to Real Analysis
- Functional Analysis and Operator Algebras: An Introduction
- The Lost Art of Logarithms
- The Mathematics in Toys and Games
- The Matrix Cookbook
- The Tensor Cookbook
- Trigonometry
- Visual Complex Analysis
-
Differential Equations
-
Game Theory
-
General problem solving
-
Geometry
- Euclidean and Non-Euclidean Geometries: Development and History
- Geometry: Euclid and Beyond
- The Foundations of Geometry
- The Four Pillars of Geometry
- Differential Geometry: A First Course in Curves and Surfaces
- Functional Differential Geometry
- Introduction to Smooth Manifolds
- Lecture Notes on Differential Geometry
- Manifolds and Differential Forms
- Open Problems In Geometry Of Curves And Surfaces
- What is differential geometry: curves and surfaces
- Planes in 3D space
-
Graph Theory
-
Mathematical Finance
-
Mathematical Logic
-
Measure Theory
-
Number theory
-
Operations Research
-
Proofs
-
-
Multithreading and Concurrency
-
Topology
- A C++17 Thread Pool for High-Performance Scientific Computing
- A Science of Concurrent Programs
- Is Parallel Programming Hard, And, If So, What Can You Do About It?
- A Science of Concurrent Programs
- Implementing simple cooperative threads in C
- Introduction to Parallel Computing Tutorial
- Lockfree Programming: A Mental Model
- POSIX Threads Programming
- The Deadlock Empire
- Reading and writing - Article series on race conditions by *James Coglan*
- The Little Book of Semaphores
- What every systems programmer should know about concurrency
- Spinlocks vs. Mutexes: When to Spin and When to Sleep
-
-
Operating Systems
-
Topology
- A Journey in Creating an Operating System Kernel
- Linux Insides
- Making our own executable packer
- Operating Systems: Three Easy Pieces - Dusseau* and *Andrea C Arpaci-Dusseau*
- Systems Programming: Lecture Notes
- The Art of Unix Programming
- Unix as IDE
- Advanced Linux Programming
- Writing an OS in Nim
- A Commentary On The Sixth Edition Unix Operating System
- Exploring Operating Systems
- How to write Rust in the kernel
- Part 1
- Part 2
- Part 3
- My Own Private Binary: An Idiosyncratic Introduction to Linux Kernel Modules
- Notes on Operating Systems
- Systems Programming: Lecture Notes
- The Art of Unix Programming
- The Linux Documentation Project
- The Linux Kernel Module Programming Guide
- The UNIX-HATERS Handbook
- Unix as IDE
-
Operating Systems Development
- Writing a Simple Operating System — from Scratch
- Part 1 - Project Setup
- Part 2 - Kernel in virtual addresses
- Part 3 - Managing free memory
- OSDev.org
- Writing a Simple Operating System — from Scratch
- Writing an OS in Rust
- A Journey in Creating an Operating System Kernel
- Baking Pi – Operating Systems Development
- Making a RISC-V Operating System using Rust
- Operating System development tutorials in Rust on the Raspberry Pi
- Operating System in 1,000 Lines
- Operating Systems: From 0 to 1
- The little book about OS development
- Writing an OS in Nim
-
-
Photography
-
Topology
-
Operating Systems Development
-
-
Physics
-
Topology
- Motion Mountain - A free physics textbook
- Physics for Mathematicians
- Relativity: A Modern Primer
-
Simulations
-
Operating Systems Development
- Structure and Interpretation of Classical Mechanics
- An Intuitive Guide to Maxwell’s Equations
- A free introduction to quantum computing and quantum mechanics
- An introduction to Lagrangian and Hamiltonian mechanics
- Applications of Classical Physics
- IBM Quantum Learning - Learn the basics of quantum computing.
- Introduction to Special Relativity, Quantum Mechanics and Nuclear Physics for Nuclear Engineers
- Motion Mountain - A free physics textbook in 5 volumes.
- Open textbooks for undergraduate physics
- Orbital Mechanics
- Percolation Theory
- Physics for Mathematicians
- Quantum Computation Lecture Notes
- Quantum Mechanics
- Quantum Mechanics for Engineers
- Relativity: A Modern Primer
- Structure and Interpretation of Classical Mechanics
- The Feynman Lectures on Physics
- Physics-Based Simulation
-
-
Retrocomputing
-
Zig
- A Guide to the Graphics of the Sega Mega Drive / Genesis
- An Afterlife User's Guide to the C64
- Apple II Documentation Project
- Commodore 64 Guides
- Commodore Bookmarks - Bookmarks for the Commodore 64, 128, Plus4, C16, VIC20 & PET Community.
- Famicom Party: Making NES Games in Assembly
- First Steps in Z80 Assembly Language
- How to Write ZX Spectrum Games
- Learn Multiplatform Assembly Programming
- MEGA65 Documentation
- MEGA65 Welcome Guide
- Michael Abrash’s Graphics Programming Black Book, Special Edition
- Multiplying and Dividing on the 6502
- Sinclair ZX Spectrum BASIC programming
- The Lost Ways of Programming: Commodore 64 BASIC
- Z80 User's Manual
- Extra Instructions Of The 65XX Series CPU
- Usborne 1980s Computer Books
- How pseudo-3d racing games work
- jsgroth's blog
- Learn Multiplatform Assembly Programming
- Neil Parker's Apple II page
- A Guide to the Graphics of the Sega Mega Drive / Genesis
- BASIC Code
- Books by Fabien Sanglard
- Easy 6502
- How PlayStation Graphics & Visual Artefacts Work
- Mark Moxon's Software Archaeology - Fully documented source code for Elite, Revs, Lander, Aviator and more
- MarkeyJester’s Motorola 68000 Beginner’s Tutorial
- Michael Abrash’s Graphics Programming Black Book, Special Edition
- NeHe OpenGL Tutorials
- Patai Gergely's Website
- Porting Stunt Car Racer to the Commodore Plus/4
- Porting Stunt Car Racer to the Apple II
- Pushing the Boundaries of C64 Graphics with NUFLIX
- Portals and Quake
- Programming specs for the GBA and NDS hardware
- Retro Game Coders
- The Annotated "Programming the Nintendo GBA : The Unofficial Guide
- Extra Instructions Of The 65XX Series CPU
-
Adevent of code on retro machines
-
Books by Fabien Sanglard
-
DOS
-
Game Boy
-
Apple II
-
Commodore 64
- An Afterlife User's Guide to the C64
- C64 OS Programmer's Guide
- Commodore Bookmarks - Bookmarks for the Commodore 64, 128, Plus4, C16, VIC20 & PET Community.
- The Lost Ways of Programming: Commodore 64 BASIC
-
CP/M <span id="cpm">
-
Mega 65
-
NES
- Famicom Party: Making NES Games in Assembly
- NesDev.org - A community of homebrew game developers and hardware researchers for the Nintendo Entertainment System (NES) and other retro consoles.
-
ZX Spectrum and Z80 CPU
-
-
Reverse engineering
-
Books by Fabien Sanglard
-
DOS
-
ZX Spectrum and Z80 CPU
-
-
Robotics
-
DOS
-
Books by Fabien Sanglard
-
ZX Spectrum and Z80 CPU
-
-
SIMD programming
-
DOS
-
Books by Fabien Sanglard
-
-
Text editors
-
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