Four Curves and CJ Point Determined by RUBY Computer Program

Fig Four Curves and CJ Point Determined by RUBY Computer Program 

Monte Carlo methods comprise that branch of experimental mathematics which is concerned with experiments on random numbers (Addnl Ref N) 

Accdg to Stibitz Larrivee (Ref 1, pp 178-81), the method on random numbers was first applied to solving mathematical problems in 1855 by A. Smith of Aberdeen, Scotland and 

The reason for naming the method Monte Carlo , as well as the year, author and Journal of the first description of the method are not given in Ref 1 

Accdg to Hammersley Handscomb (Addnl Ref N, p 8), S. Ulam, J. von Neumann and E. Fermi independently rediscovered Monte Carlo methods ca 1944 and started its systematic development. They also ensured that their scientific colleagues should become aware of the possibilities, potentialities and physical applications. The real use of Monte Carlo methods as research tools is attributed to von Neumann Ulam who applied them to random neutron diffusion in fissile material 

---