Indice: Preface. List of abbreviations. 1. Introduction 2. Mathematical thought in Vedic India 3. Mathematical traces in the early classical period 4. The mathematical universe 5. The genre of medieval mathematics 6. The development of canonical mathematics 7. The school of Madhava in Kerala 8. Exchanges with the Islamic world 9. Continuity and changes in the modern period. Appendix A: Some basic features of Sanskrit language and literature. Appendix B: Biographical data on Indian mathematicians. Bibliography. Index