
Mathematics is the science and study of quality, structure, space, and change. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of abstraction of its subject matter. Today, mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new disciplines.