1. Tyfical problems in numerical Mathematics 2. Various types of spaces 3. Orderings 4. Convergence and completeness 5. Compaciness 6. Operators in pseudometric and other special spaces 7. Operators in hilbert spaces 8. Eigenvalue problems 9. Vector and matrix norms 10. Further theorems on vector and matrix norme 11. The fixed point theorem for a geberal iterative method in pseudometric spaces 12. Special cases of the fixed point theorem and change of operator 13. Iterative methods for systems of equations 14. Systems of equations and difference methods 15. Iterative methods for differential and integral equations 16. Derivative of operations in supermetric spaces 17. some special iterative methods 18. The methods of false position 19. Newton´s method with improvements 20. Monotonicity and extremum principles for Newton´s method 21. Monotone operators 22. Forther applications of schauder´s theorem 23. Matrices and boundary value problems of monotone kind 24. Initial value problems and additional theorems on monotonicity 25. Aproximation of funtions 26. Discrete chebyshey approximation and exchange methodos