Category: 4. Calculas

Fractional calculus is a generalization and extension of classical calculus. The development of calculus is usually attributed to Gottfried Leibnitz and Isaac Newton, although the two men had a bitter lifelong dispute over which of them developed calculus. Leibniz published his first work on calculus in 1684. Newton used calculus in his Principia, published in…

The problem of finding tangents to curves was closely related to an important problem that arose from the Italian scientist Galileo Galilei’s investigation of motion, that of finding the velocity at any instant of a particle moving according to a law. Galileo established that in t seconds a freely falling body falls a distance gt2/2,…

Calculus has its roots in some of the oldest problems in geometry. The Egyptian Rind Papyrus (c. 1650 BCE) gives rules for finding the area of ​​a circle and the volume of an inscribed pyramid. Ancient Greek geometers explored curves, the center of gravity of planes and solid figures, and the quantities of objects formed…

Calculus, the branch of mathematics concerned with the calculation of instantaneous rates of change (differential calculus) and the summation of infinitely many small factors to determine some whole (integral calculus). Two mathematicians, Isaac Newton of England and Gottfried Wilhelm Leibniz of Germany, are credited with independently developing calculus in the 17th century. Calculus is now…