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This book is divided into two parts. In the first part we give an elementaryintroduction to computational physics consisting of 21 simulations whichoriginated from a formal course of lectures and laboratory simulationsdelivered since 2010 to physics students at Annaba University. The second partis much more advanced and deals with the problem of how to set up working MonteCarlo simulations of matrix field theories which involve finite dimensionalmatrix regularizations of noncommutative and fuzzy field theories, fuzzy spacesand matrix geometry. The study of matrix field theory in its own right has alsobecome very important to the proper understanding of all noncommutative, fuzzyand matrix phenomena. The second part, which consists of 9 simulations, wasdelivered informally to doctoral students who are working on various problemsin matrix field theory. Sample codes as well as sample key solutions are alsoprovided for convenience and completness. An appendix containing an executivearabic summary of the first part is added at the end of the book.

Computational Physics: An Introduction to Monte Carlo Simulations of Matrix Field Theory