§ 1. Introduction.- § 2. Notation and Terminology.- § 3. Continuous Polynomials.- § 4. Convergent Power Series.- § 5. Holomorphic Mappings.- § 6. The Cauchy Integral.- § 7. Convergence of Taylor Series.- § 8. Topology on the Space of all Holomorphic Mappings.- § 9. Holomorphy Types.- § 10. Differentiation of Holomorphy Types.- § 11. Topology on Spaces of Holomorphic Mappings.- § 12. Bounded Subsets.- § 13. Relatively Compact Subsets.- § 14. The Current Holomorphy Type.- § 15. Bibliographical References.