Beauty of Mathematics -

Nature around us is fascinating and indeed very beautiful, we use certain languages to define its beauty. Sometimes we try to carve it into words in the form of poems, sometimes we try to behold it into melodies in the form of songs and sometimes we put it into colors in the form of paintings. Each of these languages is a form art and so is maths.

Mathematics is a form of art but with the colors that you can't simply see, it's like a melody which you can't simply hear. You can think of maths as a piano in which numbers are the keys that correspond to unique musical tones but when these are arranged in an equation using mathematical operators similarly as tones are being played in a definite pattern on piano, we can hear an equation singing its melody. Mathematics is about defining the maximal beauty of nature by finding patterns that are hidden in nature in their most beautiful form. It's about defining the best fit model of our reality.

​ DEFINING A LINEAR EQUATION: ​ Suppose you saw a line is drawn on a wall and your friend asks about that line. You will simply tell that it was a straight line, tilted an angle on the wall. But your friend is very curious and is still not able to completely visualize the line. What will you do now? You should take the help of a linear equation. A Linear equation is a statement describing the relationship between abscissa and ordinate of each point lying on that line. So, you can describe that line in just a single statement of the linear equation. If the equation is correctly perceived then it can define the line completely from every aspect. It can also tell us the amount by which it is tilted on the wall i.e. the slope of that line.

Let the equation of the line on that wall be ax+by+c=0. Slope of that line would be m in y=mx+c .
tan( θ ) = m
θ = arctan(m)

Hence, the equation also contains information about the inclination of that line on the wall. Therefore, mathematics is the language of nature.

It's a poetry of nature.

#Combinatorics

Note by Kunwar Pratap Singh
4 years, 2 months ago

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