• Satyender Singh

Indian Knowledge Systems (IKS) represent a diverse body of intellectual traditions developed and transmitted across generations in the Indian subcontinent. These traditions encompass mathematics, astronomy, logic, linguistics, philosophy, medicine, architecture, agriculture, and other areas of knowledge. Vedic Mathematics, popularised in the twentieth century through the work of Jagadguru Swami Bharati Krishna Tirthaji, has become a prominent topic within contemporary discussions of Indian mathematical heritage and mathematics education. This research paper examines the relationship between Vedic Mathematics and IKS, focusing on historical background, mathematical principles, computational techniques, educational applications, and contemporary relevance. It introduces representative sutras associated with Vedic Mathematics and demonstrates their use through examples involving multiplication, squaring, algebraic identities, and mental calculation. The paper also distinguishes the modern system presented in Vedic Mathematics from the broader historical record of mathematics in India, including place-value arithmetic, geometry, algebra, number theory, and astronomical computation. The study adopts a descriptive and critical literature-based methodology. It considers the potential benefits of alternative calculation strategies for mathematical fluency, confidence, flexibility, and problem-solving while acknowledging the need for rigorous comparative research. It argues that Vedic Mathematics can contribute to mathematics education when integrated with conventional algorithms, conceptual understanding, proof, and digital tools. More broadly, IKS offers opportunities to connect historical knowledge with contemporary academic inquiry, provided that historical claims are carefully evaluated and mathematical conclusions are assessed using transparent evidence.

Keywords: Vedic Mathematics, Indian Knowledge Systems, Bharati Krishna Tirthaji, mathematical heritage, Sanskrit sutras, mathematics education, mental arithmetic, NEP 2020, higher education.

"Vedic Mathematics and Indian Knowledge Systems (IKS): Historical Foundations, Mathematical Techniques, Educational Applications, and Contemporary Relevance", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.13, Issue 10, page no.b93-b107, October-2026, Available :http://www.jetir.org/papers/JETIR2610113.pdf

"Vedic Mathematics and Indian Knowledge Systems (IKS): Historical Foundations, Mathematical Techniques, Educational Applications, and Contemporary Relevance", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.13, Issue 10, page no. ppb93-b107, October-2026, Available at : http://www.jetir.org/papers/JETIR2610113.pdf