This book constitutes the refereed proceedings of the 9th International Workshop on Computer Algebra in Scientific Computing, CASC 2006, held in Chisinau, Moldova, in September 2006.

The 25 revised full papers presented together with 2 invited papers were carefully reviewed and selected from numerous submissions. The papers cover not only various expanding applications of computer algebra to scientific computing but also the computer algebra systems themselves and the CA algorithms. Topics addressed are studies in Gr?bner bases, polynomial algebra, homological algebra, quantifier elimination, the applications of computer algebra systems in the field of the solution of differential equations, celestial mechanics, Newton polyhedra, mathematical physics, nuclear physics, and fluid dynamics. Novel themes also addressed are the application of computer algebra techniques in the field of nanosciences and nanotechnology as well as the application of CA methods to cellular automata with symmetrical local rules.