It is the abstract science of the quantity, space, change, structure, and number, either as applied to the others discipline such as engineering and physics (applied mathematics), or as abstract concepts (pure mathematics). Mathematics developed from counting, measurement, calculation, and the continue study of the motions and shapes of physical objects. Mathematics is involved with many fields, including engineering, natural science, finance, social science and the medicine. Applied mathematics provided the totally new mathematical disciplines, such as game theory and statistics. Mathematics involved in pure mathematics. Mathematics engaged with so many other disciplines such as foundations and philosophy, in order to explain the foundations of mathematics, the fields of set theory and mathematical logic were developed. Pure mathematics is the study of quantity with the numbers. Applied mathematics deals with mathematics methods that are mostly used in engineering, business, industry and science.