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Notes
Logic, the natural numbers and computability Algebra Mathematical analysis Geometry
Classical mechanics Computer science and C Data structures and algorithms, and Lisp
Univariate probability Multivariate probability Univariate time series Multivariate time series Neural networks Statistics for specific domains
Physics Biology Engineering Electronics CPUs and the Von Neumann architecture
Unix Networks Single-node databases Graphics and audio Advanced computer architecture C++ and objects Java, garbage collection, process virtual machines and Kotlin System virtual machines and hardware emulation
Other C-family languages including Rust Other Lisp-family languages Functional languages Javascript and dynamic typing Python R Other languages
Windows Distributed computing Integrated Development Environments (IDEs)Reverse engineering
Decision and game theory General equilibrium Industrial organisation Money, banking and finance Microeconomics Macroeconomics Public choice History Epistemology and ontology Political science and philosophy

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Algebra

Elementary number theory

The rational numbers

Algebraic numbers

Complex numbers

Infinite sequences and limits

Elementary algebra

Solving single-variable polynomials

Solving multi-variable polynomials

Generating functions

Diophantine equations

Systems of linear equations

Solving systems of linear equations

Eigenvalues, Eigenvectors, decomposition and operations

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Preface

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