Tuesday, June 15, 2010

Geometry

Geometry is a Greek word which means the measurement of Earth. It is a part of mathematics which is related to the questions of the properties of space, size, shape, and comparative state of different figures. It is an ancient science related to practical knowledge of volumes, areas, and lengths. Euclid put it into a special form –Euclidean geometry in 3 BC. Astronomy proved to be a very good source of geometrical sums for the next 1.5 millennium. Geometer is the mathematician who works in this field. The introduction of algebra proved to be a new phase for this field as geometric shapes can now be shown by the help of equations and functions. Earlier, there was no difference between geometrical and physical space but the space’s concept has greatly changed with the invention of non-Euclidean geometry in the 19th century. Its modern version has various spaces which are theoretical than the previous ones. Its modern

version, has several relations with physics. Its illustrative nature makes it easier than the other branches of mathematics like theory of numbers and algebra. Its language is also used to explain the themes which are far different from its origin (for instance, algebraic and fractal). The duration of its maturity is over two thousand years. It began as a practical study of volumes, measurements, survey and areas. Its remarkable achievements are the formulas for volumes, areas, and lengths. For example, volume of a sphere, pyramid, and a cylinder, area of a triangle and circle and Pythagorean Theorem. Improvement in the field of astronomy originated spherical trigonometry and trigonometry along with computational ways. In Elements, Euclid displayed various orpostulates and axioms.