Jazz Medley

Penlight

A set of pure Lua libraries focusing on input data handling (such as reading configuration files), functional programming (such as map, reduce, placeholder expressions,etc), and OS path management. Much of the functionality is inspired by the Python standard libraries.

cpml

Cirno's Perfect Math Library: Just about everything you need for 2D/3D games. Hopefully.

graph

Graph algorithms in lua

linear-algebra

lua-ai

Implementation of machine learning and artificial intelligence algorithms in lua with demo using game bot

lua-algorithms

Lua algorithms library that covers commonly used data structures and algorithms

lua-promises

A+ promises in Lua

luacheck

A tool for linting and static analysis of Lua code.

source-data-structures-and-algorithms-with-oop

source for http://www.brpreiss.com/ books (Data Structures and Algorithms with Object-Oriented Design Patterns)