Ancient India made significant contributions to mathematics, particularly through the development of Vedic Mathematics, a system of efficient techniques for arithmetic, algebraic, and geometric computations. This paper explores the computational implementation of key Vedic Mathematical methods using MATLAB, demonstrating their algorithmic efficiency and pedagogical value. Additionally, we present a MATLAB based algorithm for the transliteration of Sanskrit text in Devanagari script to a Romanized representation, ensuring accurate digital processing of traditional mathematical sources. By integrating these ancient techniques with modern computational tools, this work bridges historical mathematical knowledge with contemporary programming applications. The results highlight the potential of Vedic Mathematics in enhancing computational efficiency while preserving its linguistic and cultural foundations through script conversion. This study serves as a resource for both educational applications and further research in computational Sanskrit and mathematical heritage

Nikhilam Navatashcaramam Dashatah, Urdhva-Tiryagbhyam, Paravartya Yojayet, Yaavadunam, Ekadhiken Purvena

This study explores the power of Vedic Mathematics by implementing its techniques in MATLAB, showcasing their efficiency and elegance in solving arithmetic problems. The Urdhva Tiryagbhyam method simplifies multiplication through vertically and crosswise digit calculations, while the Nikhilam technique offers a smart way to multiply numbers near a base using deviations. The Yavadunam Sutra provides an optimized approach to squaring numbers, especially those close to a base, and the Ekadhikena Purvena sutra makes squaring numbers ending with 5 remarkably simple. Beyond arithmetic, the manuscript also introduces a MATLAB algorithm for transliterating Sanskrit text from Devanagari to Roman script, blending computational methods with linguistic processing. These implementations demonstrate how ancient Vedic principles can be adapted to modern programming, improving computational speed and reducing complexity. By connecting traditional Vedic techniques with contemporary computing, this work highlights their enduring relevance in simplifying math and text processing. Future research could explore more advanced Vedic algorithms, optimize them for large-scale computations, or apply them to machine learning and cryptography

Shivani Khare (2025). Exploring Vedic Mathematics with MATLAB Algorithms. International Journal on Emerging Technologies, 16(2): 01–05