Course Content

❖Śaṣṭi Paddhati and Vedic Mathematics

This course introduces students to the Śaṣṭi Paddhati, an ancient Indic mathematical system based on base 60, exploring its theoretical foundations, historical significance, and practical applications in Jyotiṣa, through the text named Līlāvatī.

❖Key Features:

• Positional Notation: Understanding how numbers are represented in base 60 compared to the more familiar base 10 system.
• Vedic Mathematics Techniques: Introduction to key sūtras (formulas) for rapid mental calculations.
• Historical Context: Exploration of its use in astronomical and calendar computations in Jyotiṣa.
• Comparative Analysis: Differences in notation, emphasizing cycles and divisions essential to Jyotiṣa.
• Geometry vs. Algebra: Examination of the Indic system’s focus on geometric interpretations versus modern algebraic approaches.
• Relevance to Jyotiṣa: Practical applications in predicting astronomical events and astrological readings.

❖Problem-Solving and Practical Applications:

• Vedic Sūtras in Arithmetic and Algebra: Application of ancient techniques in solving numerical and geometric problems.
• Hands-on Practice: Solving calculations related to Jyotiṣa using Śaṣṭi Paddhati.
• Comparative Exercises: Solving the same problems using both Vedic and modern mathematical methods to highlight efficiency and differences.

❖Critical Evaluation:

• Strengths: Examining the efficiency, historical significance, and alignment with Jyotiṣa.
• Weaknesses: Discussing challenges in applying Śaṣṭi Paddhati in contemporary contexts.
• Comparative Analysis: Evaluating speed, accuracy, and usability of Vedic versus modern mathematical techniques.