Explore the evolution of number systems from ancient Greece to the Renaissance in this 52-minute math history lecture. Trace the development of the Hindu-Arabic numeral system through Indian and Arabic contributions before delving into the innovative work of European mathematicians in the 15th and 16th centuries. Focus on Simon Stevin's pivotal role in shaping modern decimal arithmetic, critically examine claims of his influence on real numbers, and discover his diverse achievements in music and physics. Gain insights into the foundations of our current numerical understanding through this comprehensive historical overview.