Wednesday, 1 May 2013

Vedic Math


 The Vedas people told "If you want everything you better start it by myself, not by his family." And if, on the contrary, do nothing get start changing others and yourself - last. The sequence does not change much, but the result is the opposite. If you start changing myself and then change others, it Vedas say, "Nothing more needs to be done." Conversely, if you change others rather than yourself, you will not automatically change. On the contrary - it will change into a bad direction. But what is a Vedic Math?
  In Vedic maths indication of the numbers was used touches - jerky found on columns and various implements of everyday life. There are also special devices for computing. In the name of the numbers in the Vedic period and later used the principle of collecting the previous tens or removal from the next. To denote the numbers up to a hundred in Vedic math is used collection, and for large numbers it is combined with multiplication. Their mere display should change and development of writing in India. Over time, the Indians developed very detailed rules for arithmetic operations, built in the decimal system, and this is no small contribution in this area. One of the Vedic math texts - Tayttiriya-Samhita - brings arithmetic progressions with difference 2,4,5,10. The Vedas thousands of years ago were able to handle addition, subtraction, multiply and division, and square and cube, as well as the extraction of square and cube root. It is interesting to note that Vedic math is then thought of a dedicated board, covered with dust, and therefore has some characteristics of these actions, which are difficult to reproduce on paper. It is called arithmetic calculations \ "dahlia karma \" or otherwise - work with dust. In Vedic math the numbers were recorded with a pointed stick, and the activities were carried out from left to right, in other words - from higher to lower divisions. These characteristics are most visible in the multiplication.
 It is curious that in Vedic math there are several ways of squaring and cube without multiplying the number by itself. Moreover, the Vedas are known formula for the amount of increasing arithmetic progression with difference 2, and through it have expressed the square of an integer. All this in itself is an impressive feat for such Vedic math, but more interesting is that some V-VI century Ariabhata provides the first description of the extraction of square and cube root in India. Here it would be interesting to mention that the modern word for root term \ "radical \" label for Radical comes from Vedic math. In Vedic math when performing arithmetic operations have been deleted interim accounts have been impossible to make a check. Therefore, the old Vedic  used the so-called verification by nine, which is based on the fact that the remainder of the division of an integer of nine equals the remainder of the division of the sum of the nine digits of this number. Itself an interesting rule that we find in the second \ "Ariabhata \" already from the X century.
Check with nine, and most scientific achievements of the Vedas reached the countries of Islam, and later they were transferred in Western Europe where it is used until the fifteenth century when Pacioli and Shyuke prove its failure. This of course is not everything Vedic mathematics has contributed to the development of arithmetic and even less - of algebra. The Vedas were wise people of which many can learn.

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