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Computation and Science - A Mathematical View

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Abstract: This essay interprets the topic by personifying Mathematics and thinking from its point of view, where it performs an in-depth exploration of the roots and reasoning behind computation and science, only to discover that it is none other than Math itself. The investigation goes step-by-step with an analysis of the fields as well as its diverse features, and, topped up with relevant examples, is concluded by bringing out the application of mathematics in each area. It also uses historical and everyday evidences through which the essay aims to give a clear idea of the significance and value of mathematics. Title: Computation and Science - A Mathematical View As a concept, the extent to which I can be stretched is infinite; in other words, I am indefatigable. This is the reason that there is a consensus on the significance of me in all fields, especially computation and science. My applications in such fields are so dense that it has proudly been entitled to a separate field known as “Applied Mathematics”, which requires formulation and study of my models and relies on logic as well as mathematical and calculation skills. Now beyond all this boasting, where is the proof of such broaching? Truth is, I am integrated as a core fundamental within all computational and scientific activities. To begin with, computation is essentially the usage of calculation or computing technology for processing of information. This is quite a vague definition, however, and may lead to a very wide range of ideas and confounding thoughts. So to classify further, we bring in three different criteria: digital versus analog, sequential versus parallel and batch versus interactive. In the first criterion, digital data, we require the representation of information in a discrete manner. By this, I mean that data is often represented in numbers and letters, versus analog data which is shown in a continuous variable. It shows the proportional relationship between a signal and its representation, and often has infinite possibilities. I am deeply involved here, since the representation of such data is impossible without my key features including ratio and proportions, graphs, algebra, combinatorics, conversion of hard data to mathematical terms, numbers and formulation. For example, pure audio signals are analog as the signal which exits the microphone contains analog frequencies and harmonics. These frequencies are calculated by computing the signal mathem

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