References
Bryan Newbold, bnewbold@mit.edu
http://web.mit.edu/bnewbold/thesis/references.html
The SICM text book is free online;
so is the SICP book.
There is an unofficial SICM mailing list.
Todo Quick Reading
http://en.wikipedia.org/wiki/Newman-Penrose_formalism
http://en.wikipedia.org/wiki/Cartan_connection_applications
http://en.wikipedia.org/wiki/Geodesics_as_Hamiltonian_flows
http://en.wikipedia.org/wiki/Noether%27s_theorem (field theory version
http://en.wikipedia.org/wiki/Laplace-Runge-Lenz_vector (SICM?)
http://en.wikipedia.org/wiki/Numerical_relativity ("for culture")
Possible/Misc
The Confrontation between General Relativity and Experiment,
will clifford
Computational GR
Try this google search?
"Algebraic Computing in General Relativity", Raw d'Inverno (from General Relativity, G. Hall and J. Pulham)
"General Relativity and the Application of Algebraic Manipulative Systems", Barton, D. and Fitch, J.P. (1971)
Campbell, S. J.; Wainwright, J. "Algebraic computing and the Newman-Penrose formalism in general relativity" General Relativity and Gravitation, vol. 8, Dec. 1977, pp987-1001
"The use of algebraic computing in general relativity", H. I. Cohen, Ö. Leringe and Y. Sundblad
"ORTOCARTAN — A new computer program for analytic calculations in general relativity", Andrzej Krasinacuteski and Marek Perkowski
"Sheep and classification in general relativity", Inge Frick and Jan E. Åman
"Using camal for algebraic computations in general relativity", J. P. Fitch and H. I. Cohen
Other (download)
The Dynamicist's Workbench: Automatic Preparation of Numerical Experiments, H. Abelson and G. Sussman
Simulating Physics with Computers, R. Feynman
Functional Differential Geometry, G. Sussman and J. Wisdom (2005)
Computer Programs for Calculating General-Relativistic Curvature Tensors, J. Fletcher, R. Clemen, R. Matzner, K. Thorne, and B. Zimmerman (letter, 1967)
Intelligence in Scientific Computing, H. Abelson, M. Eisenberg, M. Halfant, J. Katzenelson, E. Sacks, G. Sussman, J. Wisdom, and K. Yip
Abstraction in Numerical Methods, M. Halfant and G. Sussman
The Role of Programming in the Formulation of Ideas, G. Sussman and J. Wisdom
Scientific Comutation and Functional Programming, J. Karczmarczuk (1999)
The Supercomputer Toolkit: A general framework for special-purpose computing, H. Abelson, A. Berlin, J. Katzenelson, W. McAllister, G. Rozas, G. Sussman, and J. Wisdom (1991)