Projects
ArtificialEconomist.com Economoose.com YetiPredict.com
Notes
Logic, the natural numbers and computability Algebra Real and complex analysis
Geometry Non-relativistic field theory Rigid body physics
Computer science and integer RISC instructions (ARM)Floating point algorithms Freestanding C Data structures and algorithms
Univariate probability Multivariate probability Univariate time series Multivariate time series Probabilistic Turing machines and algorithms, and encryption
Neural networks Computer vision Statistics for audio and text, and multi-modal models
Statistical mechanics Relativistic field theory Quantum mechanics and quantum computing Chemistry and geology Biology Engineering Electronics
Manufacturing CPUs and peripherals Floating Point Units (FPUs), cache, other Reduced Instruction Set Computers (RISC) and Complex Instruction Set Computers (CISC)Audio 2D graphics 3D graphics Multithreading, multi-core CPUs, Graphics Processing Units, and Single Instruction, Multiple Data (SIMD)
Microsoft Disk Operating System (MS-DOS)Memory Mapping Units (MMUs), protection rings, GNU/Linux and hosted C Advanced Linux: Including encrypting systems, Logical Volume Management (LVM) and Systemd Networks Single-node databases and Structured Query Language (SQL)Audio and video output in Linux, and sandboxing applications system virtual machines and hardware emulation Advanced CPU architecture, including hardware-assisted virtualisation, trusted execution environment, secure enclave and dynamic frequency scaling
Other imperative languages: Fortran, Algol, Pascal Functional languages: Meta Language (ML), Caml and Haskell C++, objects and generic programming Java, garbage collection, process virtual machines and Kotlin Other C-family languages: Rust, Nim, Zig and Objective-C Communicating sequential processes (CSP) and actor model concurrent languages: Erlang, Elixer, Swift, Go Other compiled languages: Forth, Smalltalk and Simula Scheme Other Lisp-family languages: Racket, Common Lisp, Clojure and Scala Reverse engineering
JavaScript, HyperText Markup Language (HTML), Cascading Style Sheets (CSS) and the World Wide Web (WWW), and WebAssembly (Wasm)Python R Other interpreted languages: STATA, Lua, Perl, Ruby, Julia, PHP and FreeBASIC
Specific Linux distributions and OS-level virtualisation with Docker Distributed computing Integrated Development Environments (IDEs)Android
FreeBSD and OpenBSD Windows 3.x, Windows 9x and Windows NT Classic Mac OS, macOS and iOS
Decision and game theory General equilibrium Industrial organisation Money, banking and finance Microeconomics Macroeconomics Public choice History Epistemology and ontology Political science and philosophy

GitHub
LinkedIn

Geometry

Analytic geometry

Points, lines and affine transformations

Euclidian transformations, lengths and angles

Volumes, perimeters and surface areas

Algebraic geometry and spheres

Abstract algebra

Abstract linear algebra

Linear endomorphisms

Cross products and the Hodge star operator

Exterior algebra

Infinite-dimensional vector spaces

Manifolds

Exterior calculus

Calculus of variations

Topology of finite sets

Topological manifolds

Differentiable manifolds

Riemann manifolds

Other topology

Category theory

Projective geometry

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Preface

This is a live document, and is full of gaps, mistakes, typos etc.