Computer Simulation and Computer Algebra

I Computational Methods in Classical Physics.- 1 Motion of a Classical Point-Like Particle.- 2 Short Course in FORTRAN Programming Methodology.- 3 Methods of Higher Accuracy (and Efficiency).- 4 Finding Extremal Points of Motion.- 5 Statics and Dynamics of Strings.- 6 Dynamics of Strings.- 7 Literature.- II Monte Carlo Simulations in Statistical Physics.- 1 Random Numbers.- 2 Ising Model.- 3 Cellular Automata (Q2R and Creutz).- 4 Diffusion and Percolation.- 5 Eden Clusters.- 6 Kauffman Model.- 7 Summary.- 8 Appendix: A Short Introduction to FORTRAN.- 9 Literature.- III Principles of Vector and Parallel Computing.- 1 Basic Idea.- 2 An Example — Q2R.- 3 More About Vector Processing.- 4 Before and After the Vectorization.- 5 Parallel Computing.- IV REDUCE for Beginners — Seven Lectures on the Application of Computer-Algebra (CA).- First Lecture.- Second Lecture.- Third Lecture.- Fourth Lecture.- Fifth Lecture.- Sixth Lecture.- Seventh Lecture.- A Some Additional Exercises.- B Changes From Reduce 3.3 to Reduce 3.4.1.- C Further Information on Reduce.- C.1 Where Can You Buy Reduce?.- C.2 Execution Times for the Reduce Standard Test.- D Literature.- Joint Index.