• Dr.Vijay Kumar

Functional analysis plays an increasing role in the applied sciences as well as in engineering itself. Consequently, it becomes more and more desirable to introduce the researchers to the field at an early stage of study. This paper is intended to familiarize the reader with the basic concepts, principles and methods of functional analysis and its applications. Functional analysis is an abstract branch of mathematics that originated from classical analysis. The impetus came from applications: problems related to ordinary and partial differential equations, numerical analysis, calculus of variations, approximation theory, integral equations, and so on. In ordinary calculus, one dealt with limiting processes in finite-dimensional vector spaces (R or R n), but problems arising in the above applications required a calculus in spaces of functions (which are infinite-dimensional vector spaces).

Functional Analysis, Applied Sciences, Systems Engineering, Methodology and Applications.

"Functional Analysis in Systems Engineering: Methodology and Applications", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.2, Issue 10, page no.721-728, October-2015, Available :http://www.jetir.org/papers/JETIR1701952.pdf

"Functional Analysis in Systems Engineering: Methodology and Applications", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.2, Issue 10, page no. pp721-728, October-2015, Available at : http://www.jetir.org/papers/JETIR1701952.pdf