Knowledge through Science

We have come across many equations and formulas in mathematics, but nothing can match the beauty and elegance of Euler's identity. Before we dig deep into Euler's identity , we need to know some basic fundamental 'constants' in mathematics. Namely, the Euler's number, pi and imaginary unit , represented by,  e,  𝝅 and  i ,  respectively. Euler's number is the base for natural logarithms and its value is approximately equal to 2.71828 Pi, our age-old friend, is basically associated with circles and its value is equal to, 3.14 Imaginary unit, i is a factor that we use mainly in the field of complex numbers and its value is equal to √-1 . Portrait 1: Leonhard Euler Euler's Identity related these three fundamental constants in mathematics. You can clearly observe from our previous observation that both   e and 𝝅, have non-terminating decimal expansion. Both these constants are irrational in nature.  The real beauty of Euler's Identity pertains to this fact

In India, September 5 is celebrated as the 'Teachers' Day', marking the birth anniversary of former President of India, Dr. Sarvepalli Radhakrishnan, who was highly acclaimed for his teaching capabilities.  Dr. Radhakrishnan once said, ''Instead of celebrating my birthday separately, it would be a privilege if September 5 is observed as 'Teachers' Day'.'' Portrait 1: Official portrait of Dr. S. Radhakrishnan The power of a teacher to integrate and define students feelings is unparalleled. They have this unique capability to understand each of his/her students in detail and help assist them in their quest for knowledge. No one on the entire world has achieved anything worthwhile without the aid and support of a teacher. Take any individual, of any background, any religion or any caste, if he has a good education, he can apply his mind and soul to overcome the challenges that he faces in his life. Education is incomplete without a teacher because t