People who are mathematically inclined, there is often a definite aesthetic aspect to much of mathematics. Many mathematicians talk about the elegance of mathematics, its intrinsic aesthetics and inner beauty. Simplicity and generality are valued. There is beauty in a simple and elegant proof, such as Euclid’s proof that there are infinitely many prime numbers, and in an elegant numerical method that speeds calculation, such as the fast Fourier transform. G. H. Hardy in ‘A Mathematician’s Apology‘ expressed the belief that these aesthetic considerations are, in themselves, sufficient to justify the study of pure mathematics. He identified criteria such as significance, unexpectedness, inevitability, and economy as factors that contribute to a mathematical aesthetic. Mathematical research often seeks critical features of a mathematical object. A theorem expressed as a characterization of the object by these features is the prize. I was intrigued by the elegance of it and desired to learn more and more, and hence I am bounded by responsibility to share my research and give a precise yet elegant material to learn from for those who are as intrigued as me. It is a great honor share my dreams with the world.
Since ancient times mathematics has been developed as an integral part of life. With its vast usage and intriguing areas it has always been a luxury amidst other vocations. Ages ago mathematics was only conceptual and not calculative. But with the advent of ‘counting’ calculations became an integral part of mathematics mostly for problem solving. Even the number ZERO was a concept to denote emptiness, or non-existing, or void in particular. But now we are all familiar with the hollow oval shape with the concept being pushed to the background.
This blog would grow and is intended to become a library of researched and fine tuned mathematical articles ready for use any instant.