numerical analysis

Hello am looking for someone who is expert on these topics: Be able to find solutions of linear and nonlinear equations using root-finding algorithms. Understand and implement numerical integration algorithms and derive the error bounds for the algorithms. Understand and implement polynomial and spline interpolation and the errors associated with both.
Topics:
Monte Carlo Methods, floating-point arithmetic,
nonlinear equations and root-finding, numerical linear algebra, polynomial and spline interpolation and function approximation, numerical differentiation numerical integration.