Vedic Mathematics: A Comprehensive Review of Ancient Wisdom and Modern Applications

Authors- Professor Dr. Harikumar Pallathadka, Professor Dr. Parag Deb Roy

Abstract--This comprehensive review synthesizes ancient knowledge with contemporary research to present a systematic analysis of Vedic Mathematics; a calculation system originating in India’s sacred texts dating back 4,000-6,000 years. Through rigorous examination of primary historical sources, recent neurocognitive studies, and computational applications, this paper establishes the significant contributions of Vedic Mathematics to both historical and modern mathematical discourse. The system’s sixteen core sutras (formulas) demonstrate remarkable computational efficiency, reducing multi-step operations by 60-85% compared to conventional methods while fostering improved pattern recognition and mathematical intuition, as validated by recent studies (Srivastava et al., 2023; Williams & Gaskell, 2022). This paper employs interdisciplinary methodologies to evaluate Vedic Mathematics’ historical authenticity, cognitive benefits, and practical applications in fields ranging from digital signal processing to educational technology. By presenting quantitative and qualitative evidence from 97 primary and secondary sources spanning ancient manuscripts to 2025 neuroimaging studies, this review establishes Vedic Mathematics as not merely a cultural heritage but a sophisticated mathematical framework with demonstrable applications in computation, education, and cognitive development.

DOI: /10.61463/ijset.vol.13.issue3.165