My presentation on Integration Theory during M.Sc. First Sem (29/04/2019) at Central Dept of Math TU
In this presentation, I am proving that Lebesgue Outer Measure of any given interval is the length of the interval. A batchmate of mine had already discussed the part of the proof for the interval of the type [a,b] and I was proving it for the rest of the intervals.
This video dates back to 29th April 2019 when I was a student of M.Sc. First Semester at Central Department of Mathematics, Tribhuvan University. Five years already. Time flies! Watching this video brings tears to my eyes.
It was a part of the course "Measure Theory and Integration 1" which was instructed by Asst. Prof. Nabaraj Adhikari sir. It was one of my favorite courses I ever took while I admit it was really tough at that time. I was fortunate enough to have some incredible and insightful discussion on Integration Theory during that time with the great Prof. Dr. Prakash Muni Bajracharya sir.
I have always dreamt of being a mathematician. Always loved Pure Mathematics (especially Analysis, in particular, Integration Theory). Being a graduate student at Central Department of Mathematics was like a dream come true. I graduated (luckily) with a flawless 4/4 CGPA, ranked first. Later, I got a chance to work at Atlantic International College and then at Amrit Science Campus .... This is where it all began!
At Central Department of Mathematics, I had an academic growth like never before. I got to interact with distinguished professors on topics related to both Pure Mathematics and Applied Mathematics. On the personal note, it was the place where I met a number of people who now are irreplaceable when it comes to my small circle (of radius epsilon, probably).