Thursday, July 26, 2012

Learning About Computation


Welcome, let's learn about ... careful calculation.

The appearance of infinitesimal analysis was the culmination of a long process, which consisted essentially internal mathematical and theoretical assimilation accumulation of the elements of differential and integral calculus and the theory of sets. For the development of this process will include: algebra, calculus techniques, introduction to math variables, the method of coordinates, ideas classical infinitesimal, especially Archimedes squares problems, finding tangents ... The reasons for this process were, first, the demands of mechanics, astronomy and physics. In solving problems of this kind, in search of general problems of resolution and the creation of infinitesimal analysis involved many scientists, Kepler, Galileo, Cavalieri, Torricelli, Pascal, Wallis, Roberval, Fermat, Descartes, Barrow, Newton , Leibniz, and Euler.

Read these points are essential in the differential calculus.

At the level of integral methods, acquired the greatest fame geometry of indivisibles, created by Cavalieri, designed as a universal method of geometry. This method was developed for the determination of the dimensions of the plane and bodies, which were represented as elements composed of elements of lower dimension. Thus, the figures consist of segments of parallel lines and parallel planes bodies. However, this method was unable to measure lengths of curves, since the corresponding indivisible (points) were dimensionless. Nevertheless, integration quadratures defined as geometric became famous in the first half of the seventeenth century, due to the large number of problems could be solved.

The concept of calculation and its ramifications are introduced in the eighteenth century, with the great development that was the mathematical analysis, creating branches as differential calculus, integral and variations.

This is the development of mathematics have been obtained since the man saw the need, to this day. Currently, many mathematicians are still in the development of mathematics called modern mathematics, where the concepts are the basis of most current science.

Perhaps a bit confused as much information on this specific topic is the calculation, but little by little we understand and know what it is to handle it.

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