Mathematics has been important for engineering applications since early humans first developed counting systems to track things like group members and food shares. Over thousands of years, mathematic concepts and operations became more advanced and were used by various ancient cultures for purposes like engineering. Today, mathematics remains essential for engineering in fields like physics, civil engineering, graphics, and more. While mathematics has enabled many innovations, it also contributed to economic disasters like the Great Depression, demonstrating its power for both creation and destruction depending on its application. The document concludes that engineering without mathematics would achieve nothing, emphasizing their close relationship.