Algorithm Optimization  (Paperback, Dr. Manish Kumar,Prof. (Dr.) B. K. Sarkar,Prof. (Dr.) Reena Singh,Dr. Dharamender Singh)

The history of algorithm optimization is a rich and intricate tapestry woven through centuries of mathematical and computational advancements. This journey spans from ancient mathematical concepts to the modern era of high-performance computing. In this extensive exploration, we’ll delve into key milestones and contributions that have shaped the field of algorithm optimization. The origins of algorithm optimization can be traced back to ancient civilizations, where scholars and mathematicians grappled with fundamental numerical and computational problems. Babylonians, Egyptians, and Greeks made early contributions in areas like arithmetic algorithms and geometric calculations. However, the foundations of formal algorithms as we understand them today began to take shape in the Islamic Golden Age, particularly with the works of mathematicians like Al-Khwarizmi. His book “Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala” laid the groundwork for algebraic manipulation, including solving linear and quadratic equations—an essential component of algorithmic problem solving.