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The resultants are thus technological advancements in every field of life. May it be the field of arts, science or the corporate management the application of mathematics in each of these fields has proved to be meritorious for the concerned field. This study commences with an introduction of the applications of mathematics on both arts and science. It further focuses on one of the fields of science, namely ‘biology’, for elaboration and evidence. Mathematics can be described as a science of numbers that involves quantities, relationships and measurements.
A further focus on this science reveals results of its different applications as follows: APPLICATIONS OF MATHEMATICS TO ARTS The domain of arts is widespread on a number of things. It uses creativity and skill to bring objects to a state that confirms to aesthetic sense. The applications of mathematics, that is, of numerical quantities and relationships, on procedures of art, have originated certain domains that were not known to man earlier. Geometrical patterns are evident in almost everything around us.
This was realized even by ancient Greeks. Art models and sculptures dating back to those times can be seen to have clear influence of mathematical patterns. Consider, for example, the 5,000 year old ‘Flower of Life’. This pattern consists of an array of circles positioned in different rows. These circles are positioned such that the radius of one row of circles is positioned on the circumference of the circles of the neighboring rows. Figure 1 depicts the Flower of Life. Looking at the figure from another angle reveals certain mathematical facts implemented into it.
Looking closely it is seen that a triangle is formed when the centers of three neighboring circles are focused. Application of the Sine and Cosine rules to the triangle and assuming that the circles have a radius of unit 1 it is observed that each row is v3/2 apart. Then there are innumerable other artifacts that display the applications of mathematics. Examples are: ‘The Golden Ratio’ (The famous portrait of Mona Lisa exhibits an aesthetic application of divine ratio), ‘The Pyramids’, ‘The Parthenon’, ‘De Divina Porportione’ and so on.
APPLICATIONS OF MATHEMATICS TO BIOLOGICAL SCIENCE Biology can be interpreted as ‘The study of life’. The word ‘bio’ means ‘life’. Both the mathematics and biology are completely distinct from each other at their core. Time and again, it has been proved that the assistance of math in biology has opened horizons of knowledge that were once not known to man. This article attempts to verify that despite being different in nature the application of mathematics in Biology holds immense importance. Edward K. Yeargers, Ronald W.
Shonkwiler, J. V. Herod (1996) state in their book that Biology produces interesting problems and mathematics provides models to understand them. After results have been obtained from the models, biology returns to test them. (p.1). How that is done is a very vast paradigm, the details of which would take thousands of words to cover. The studies of mathematics when applied to biology result in various amazing discoveries. A few of the applications of mathematics in biology are attempted to be discussed below.
Biology and Mathematics make a very unique and suitable combination. Mathematical descriptions are very well taken by Biology as if they were tailor-made for them. Various key elements in quantitative biology are understandable through the study of mathematics.
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