Modular Forms and Functions

1. Groups of matrices and bilinear mappings 2. Mapping properties 3. Automorphic factors and multiplier systems 4. General properties of modular forms 5. Construction of modular forms 6. Functions belonging to the full modular group 7. Groups of level 2 and sums of squares 8. Modular forms of level N 9. Hecke operators and congruence groups 10. Applications.