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Welcome, continue learning about attentive calculation. The emergence of the infinitesimal analysis was the culmination of a long process, whose internal mathematical essence consisted in the accumulation and theoretical assimilation of elements of the differential and integral calculus and the theory of series. The development of this process was available: algebra; techniques of calculation; Introduction to mathematical variables; the method of coordinates; ideas infinitesimal classic, especially of Archimedes; Quadratures problems; search for tangents the causes that motivated this process were, firstly, mechanics, astronomy and physics demands. In the resolution of problems of this genre, in search of general issues of resolution and in the creation of the infinitesimal analysis many scientists took part: Kepler, Galileo, Cavalieri, Torricelli, Pascal, Walis, Roberval, Fermat, Descartes, Barrow, Newton, Leibniz, and Euler. Keep on reading, these points are essential in differential calculus. At the level of the integral methods, acquired greater fame the geometry of the indivisible, created by Cavalieri, intended as a universal method of geometry. This method was established for the determination of the measures of flat figures and bodies, which are represented as elements comprising elements of lower dimension.

Thus, the figures consist of segments of straight parallel and the bodies of parallel planes. However, this method was unable to measure lengths of curves, because the corresponding indivisible (points) were dimensionless. Despite this, integration defined in the form of geometric Quadratures, gained fame in the first half of the 17TH century, due to the large number of problems that could be solved. The concept of calculus and its ramifications was introduced in the 18th century, with the great development that earned the mathematical analysis, creating branches as the calculating differential, integral and variations. This is the development the mathematics have been obtained from the man saw the need for, up to our days. Currently still lot of mathematicians in the development of mathematics known as modern mathematics, where their concepts are the basis of most of the current science. Perhaps to confuse a little so much information on this topic in particular which is the calculation, but little by little we can understand and know what it is to be able to handle it.