Role Of Mathematics In Mathematics

1. Introduction

Mathematics has been vital to the development of civilization. From ancient to modern times mathematics has been fundamental to advances in science, engineering, and philosophy. Developments in modern mathematics have been driven by a number of motivations that can be categorised into the solution of a difficult problem and the creation of new theory enlarging the fields of applications of mathematics. Very often the solution of a concrete difficult problem is based on the creation of a new mathematical theory. While on the other hand creation of a new mathematical theory may lead to the solution of an old classical problem, (Monastyrsky, 2001). This paper is discussing the current role of mathematics in other disciplines.

Section 2 is dealing with trends of application areas of mathematics at the wake of the twentieth century, Section 3 looks at the changes in mathematics application as a result of the modern approach to mathematics and discoveries in other scientific fields, section 4 addresses the current (21st century) thinking of collaborative and inter discipline mathematics and the section 5 gives some examples of application areas where mathematics is emerging as a vital component with great opportunities for inter discipline

It is quite obvious that in this century, the need for mathematics to enrich other scientific disciplines, and vice versa, is most urgent. Currently there is a sense of readiness among mathematicians to interact with the world around them. Currently there is a sense of readiness among mathematicians to interact with the world around them. This is in addition to continuing the pursuit of mathematics for internal motivations such as revealing its inherent beauty and understanding its coherent symmetries.

Being the language of sciences, mathematics has a great potential to make tremendous contributions to the other sciences. The current move is to break down barriers that still exist between mathematicians and other scientists. For example, there is still a large gap in the knowledge of physics. The two main pillars of 20th century physics, quantum theory and Einstein's general theory of relativity are mutually incompatible. It is speculated whether string theory and other most abstract mathematics areas will provide the solution. Mathematicians and theoretical physicists are busy working to bridge this