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Theoretical Computer Science is the mathematical foundation of computing in all its forms. By being the foundation, it is also the starting point for new and more efficient methodologies of computation.
http://en.wikipedia.org/wiki/Church-Turing_thesis
Wikipedia article.
http://www.cis.upenn.edu/~giorgi/cl.html
Main web source on the subject: overview, downloadable articles, links.
http://en.wikipedia.org/wiki/Computability_theory
Wikipedia article.
http://www.cs.brown.edu/courses/csci0510/
Undergraduate computer science course on the foundations of computing at the Brown University, Department of Computer Science.
http://en.wikipedia.org/wiki/Interactive_computation
Wikipedia article.
http://www.cs.washington.edu/education/courses/322/06sp/
Lecture notes from the University of Washington covering basic topics such as computation models and theoretical concepts such as nondeterminism.
http://www.jn.inf.ethz.ch/education/index.html
Introduction to basic topics including models of computation, finite automata, context free grammars and complexity theory.
http://ai.stanford.edu/~suresh/theory/theory-home.html
A directory of resources related to theoretical computer science from Stanford University.
http://sites.google.com/site/searchtcs/
A Google Custom Search Engine that searches pages relevant to Theoretical Computer Science, such as books, lecture notes, courses, and papers.
http://www.cs.bu.edu/fac/lnd/toc/
Lecture notes for an undergraduate class taught by Leonid Levin at UC Berkeley.
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