Today let's talk about Mathematics. I will tell you a little about the famous Mathematician Karl Gauss. He has been called ''The Prince Of Mathematics'' by Mr E.T.Bell in his book ''Men Of Mathematics''.One day Karl's teacher asked them to add from one to hundred, he thought that the students would take time and he would rest.
But there was one such divine child who did it in seconds .It was Kar.He simply added
1+ 2+ 3+ ................+100
100+99+ 98+............+1 .It struck him that if he writes the numbers in reverse order he would get 50 pairs each that add up to 101,so he simply multiplied 50 and 101=5050. If you are also to do something like this here's the formula: n(n+1/2), where n is the number of characters in the number. Gauss also gave another important idea which we will learn now.
For instance, if today is Sunday, what day it will be forty days from today. Lets name Sunday, day 0, Monday 1 and so on. Since there are 07 days in a week, we can divide 40 by7 which gives us a remainder of 5. So the answer is Friday, which is day 5. We can say that 40 is Congruent to 5 Modulo 7. That is 40 and 5 both give the same remainder when divided by 7. This idea of Congruence and Modulus is very important in Number Theory.
Excellent piece of information on Mathematics.We would like to get simmilar pieces in future from ranjini,
ReplyDeleteRanjini
ReplyDeleteThe piece is excellent . But I think the formula should be n(n+1)/2
These two comments are from Dadu.
ReplyDeleteVery nice blog. I learnt about Gauss from this article. The articles are really well written and lucid.
ReplyDeleteNilarnab Ghosh Roy