Explicit solutions of partial differential equations -- Hyperfinite spin models -- Nonstandard analysis and the theory of Banach spaces -- Stochastic solutions to partial differential equations -- Existence of solutions to the martingale problem in Rd for degenerate discontinuous coefficients -- ?-Calculus as a generalization of field extension an alternative approach to nonstandard analysis -- Stochastic integration in hyperfinite dimensional linear spaces -- Stochastic processes and nonstandard analysis -- Towards a nonstandard analysis of programs -- Infinitesimal analysis of l ? in its mackey topology