The comprehensive study of how discrete objects come together through one another and the likelihoods of a diversity of outcomes is acknowledged as combinatory. Further areas of mathematics which are known to be component of discrete mathematics comprise graph theory as well as the theory of computation. In addition, subjects that are related to number theory like that resemblances and recurrence relations are as well renowned as a division of discrete mathematics (Wolfram Research, Inc. , 2010). This paper presents a detailed analysis of the existing one of most famous paradigms of discrete mathematics which is known as “Mathematical Algorithms”. Mathematical Algorithms are presently one of the hot areas in discrete mathematics because of their extensive and effective use in the field of computer and information technology. This paper will provide comprehensive analysis of main features and areas of “Mathematical Algorithms”.
The comprehensive study and areas of interest in discrete mathematics generally comprise the analysis and systematic study of algorithms, their efficiencies and implementations in various fields of life. Discrete mathematics is also acknowledged as the language of mathematics used in conjunction with computer science, as well as its significance has increased noticeably in recent few decades (John & Weisstein, 2010). In a broad sense, an algorithm can be thought as instruction (or a set of commands or course of actions) according to that a specific procedure has to take place. We can say that a computer program is an illustration or an accomplishment of an algorithm. This command/instruction has to be organized in such an accurate manner so that it is proficient to be executed by an operator that is capable to comprehend as well as efficiently run the algorithms commands. Several cases of consideration of algorithms are the strategies planned for summing up and finding difference between two or more