Mathematical Aspects of the Indian Knowledge System and Vedic Mathematics: Present and Future Prospects

Abstract: The Indian knowledge system is a vast tradition encompassing philosophy, science, mathematics, medicine, and literature. India’s mathematical legacy is profound, originating from ancient Vedic literature and the works of mathematicians like Aryabhata, Bhāṣkarācārya, Varāhamihira and Brahmagupta. Vedic mathematics, which is based on ancient Indian texts, provides effective strategies for solving problems that make intricate calculations easier. The study explores current studies that apply Vedic ideas to domains such as image processing, chess strategy, and calculus we may create a more inventive, inclusive, and culturally aware educational framework by reexamining and reviving Indian knowledge system and bridging traditional knowledge with modern science and technology. We also explore the difficulties and opportunities in utilizing this traditional system for future advancements in mathematics. The Indian Knowledge System (IKS), encompassing disciplines such as Vedic Mathematics, offers profound insights into mathematical problem-solving and computational efficiency. This paper explores the mathematical aspects of IKS and Vedic Mathematics, examining their historical foundations, modern applications, and the challenges associated with their integration into contemporary scientific and technological frameworks. Through a comprehensive analysis, the study aims to highlight the relevance of these ancient systems in addressing modern computational challenges. Keywords: Indian Knowledge System, Vedic Mathematics, Image Processing, Chess Strategy, Contemporary Curriculum, Bridging Traditional Knowledge, Computational Challenges.