The Evolution of Calculus: Bridging Historical Foundations and Modern Computational Techniques

Abstract

This paper traces the development of calculus-from its origins with pioneers Newton and Leibniz-to its use in neural networks and artificial intelligence. It looks into the original basic principles of calculus, their historical development, and transformation for contemporary computational demands. Amongst key results are comparative insights into the contributions of Newton and Leibniz and significant historical milestones regarding the integration of calculus into computational methods. The study also delves into the theoretical implications of calculus in machine learning and its profound influence on the advancement of AI. Employing a qualitative methodology, the research bridges historical context with modern applications, emphasizing the enduring relevance and adaptability of calculus in scientific and technological innovation.