Documentation
The reference manual is available online in English and has been translated into Portuguese, Spanish, Russian, and Hungarian. It is also available as a book in English.
The reference manuals for all released versions are available online.
Lua 5.1 Reference Manual
by R. Ierusalimschy, L. H. de Figueiredo, W. Celes
Lua.org, August 2006
ISBN 85-903798-3-3
Programming in Lua (second edition)
by Roberto Ierusalimschy
Lua.org, March 2006
ISBN 85-903798-2-5
The first edition is available online. (The first edition was aimed at Lua 5.0 and remains largely relevant; the second edition updates the text to Lua 5.1 and brings substantial new material.)
Programming in Lua is also available in German, Korean, Chinese, and Japanese:
Programmieren mit Lua
von Roberto Ierusalimschy
Open Source Press, September 2006
ISBN 3-937514-22-8
Programming in Lua
by Roberto Ierusalimschy
Insight, June 2007
ISBN 9788991268302
Programming in Lua
by Roberto Ierusalimschy
Publishing House of Eletronic Industry, May 2008
ISBN 978-7-121-06187-5
Programming in Lua
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by Roberto Ierusalimschy
ASCII Media Works, Aug 2009
ISBN 978-4048677974
Lua Programming Gems
edited by L. H. de Figueiredo, W. Celes, R. Ierusalimschy
Lua.org, December 2008
ISBN 978-85-903798-4-3
The main academic paper about Lua discusses the philosophy behind its design:
R. Ierusalimschy, L. H. de Figueiredo, W. Celes,
Lua - an extensible extension language,
Software: Practice & Experience 26 #6 (1996) 635–652. [doi]This paper was awarded the first prize (technological category) in the II Compaq Award for Research and Development in Computer Science in 1997. This award was a joint venture of Compaq Computer in Brazil, the Brazilian Ministry of Science and Technology, and the Brazilian Academy of Sciences.
For details on the implementation of Lua, see
R. Ierusalimschy, L. H. de Figueiredo, W. Celes,
The implementation of Lua 5.0,
Journal of Universal Computer Science 11 #7 (2005) 1159–1176. [jucs · slides]
For a complete history of Lua till 2006, see
R. Ierusalimschy, L. H. de Figueiredo, W. Celes,
The evolution of Lua,
Proceedings of ACM HOPL III (2007) 2-1–2-26. [doi · slides]
For a history of Lua till 2001, see
R. Ierusalimschy, L. H. de Figueiredo, W. Celes,
The evolution of an extension language: a history of Lua,
Proceedings of V Brazilian Symposium on Programming Languages (2001) B-14–B-28. [ps]
The first paper describing Lua still has some historical interest:
L. H. de Figueiredo, R. Ierusalimschy, W. Celes,
The design and implementation of a language for extending applications,
Proceedings of XXI Brazilian Seminar on Software and Hardware (1994) 273–283. [ps]
For an early expository article, see
L. H. de Figueiredo, R. Ierusalimschy, W. Celes,
Lua: an extensible embedded language,
Dr. Dobb's Journal 21 #12 (Dec 1996) 26–33. [DDJ]
For a recent introductory text (in Portuguese), see
R. Ierusalimschy,
Uma Introdução à Programação em Lua,
JAI 2009 (Jul 2009).