THE ROLE OF CURIOCITY IN RESEARCH WORK

Dr. G.V.V. JagannadhaRao

Department of Mathematics

Assistant Professor

Dr.gvvj.rao@kalingauniversity.ac.in

Keywords: Mathematics, Curiocity, Research Work.

 INTRODUCTION

The traits that distinguish a scientist from a sportsperson from a politician are their capacity to provide results, go right to the point, take the initiative, and follow what inspired them most. The desire to understand how and why a certain occurrence came about and what its function is sets scientists apart from other people. The scientist’s goal is to use the knowledge he has acquired to advance sustainability, wealth, culture, and health for all living things and for humanity. Regardless of discipline, a scientist must develop and demonstrate particular traits, abilities, and behaviours in order to do this. This brief post enumerates these traits based on my own experience working with accomplished scientists in the USA, Europe, and the Middle East.

The Function of Inquiry Curiosity is the driving force behind study. When is a certain outcome accurate? Is that the best evidence, or is there another that is more natural or beautiful? What is the broadest context within which the finding is valid?

If you keep asking yourself these kinds of questions while reading a paper or listening to a lecture, eventually a hint of an answer—some potential avenue to investigate—will appear. When this happens to me, I always take a break to explore the concept more to see where it goes or if it will hold up under inspection.

Knowing when an originally good concept is actually going nowhere is challenging. At this point, one must turn around and go back to the main road. The choice is not always obvious, and I regularly go back to a rejected idea to give it another shot.

Ironically, a terrible seminar or lecture can spark a brilliant idea. I frequently find myself attending a lecture where the result is lovely but the proof is difficult and unpleasant. I spend the remainder of the hour considering how to create a more beautiful proof rather than attempting to follow a disorganised proof on the chalkboard. Usually, but not always, without result, but even then, since I’ve given the issue serious consideration in my own way, it was a better use of my time. Rather than passively accepting another person’s logic, do something instead.

Scientists are self-motivated to continue their work in contrast to other businesses that depend on following market trends or replicating already established information because of this singular point of becoming the first to the finish line. It is the essential quality a scientist needs cultivate in order to become a true researcher and be able to find and create initiatives that have a good impact on people’s lives.

Examples:

It is crucial to be able to test general conclusions by applying them to straightforward cases if, like me, you favor broad perspectives and strong theories. I have amassed a sizable collection of similar instances over the years, taken from numerous industries. These are instances where it is possible to perform specific calculations, occasionally using complex formulas, to aid in the comprehension of the underlying general theory. 

They help you stay on your feet. The line separating an example from a theory is hazy. My early exposure to classical projective geometry provided me with several of my favorite examples, including the twisted cubic, quadric surface, and the Klein representation of lines in three dimensions. Nothing could be more straightforward or conventional, and each can be examined algebraically or geometrically. However, each serves as an example and the initial instance of a large class of cases that later develop into theories, such as the theory of rational curves, homogeneous spaces. The fact that examples can diverge is another quality of them. One example can be used to illustrate numerous different ideas or to generalize the example in various ways. For instance, the classical conic combines the properties of a homogeneous spaces, a quadric, and a rational curve. A excellent example is, above all, a thing of beauty. It sparkles and persuades. It offers comprehension and insight. It offers the foundation of faith.