Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment "Euclidean geometry" set a standard for many centuries to follow.
Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. A mathematician who works in the field of geometry is called a geometer.
The introduction of coordinates by René Descartes and the concurrent development of algebra marked a new stage for geometry, since geometric figures, such as plane curves, could now be represented analytically, i.e., with functions and equations. This played a key role in the emergence of infinitesimal calculus in the 17th century. Furthermore, the theory of perspective showed that there is more to geometry than just the metric properties of figures: Perspective is the origin of projective geometry. The subject of geometry was further enriched by the study of intrinsic structure of geometric objects that originated with Euler and Gauss and led to the creation of topology and differential geometry.
As well as helping with many things in everyday life such as shape, size and relative positions of objects and understanding coordinates for use when reading a map for example, geometry teaches us the basic skill of logical thinking and reasoning. As it's true we won't encounter the terms line, point, bisect, angle, parallel lines, etc. In everyday living, but through these concepts the power of reasoning and logical thinking is presented. By going through the process of reasoning and proving we exercise our brain by tackling numerous everyday activities that require us to be an intelligent and critical human being not easily swayed by brute mass opinions no matter how many people hold such opinions.
Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. A mathematician who works in the field of geometry is called a geometer.
The introduction of coordinates by René Descartes and the concurrent development of algebra marked a new stage for geometry, since geometric figures, such as plane curves, could now be represented analytically, i.e., with functions and equations. This played a key role in the emergence of infinitesimal calculus in the 17th century. Furthermore, the theory of perspective showed that there is more to geometry than just the metric properties of figures: Perspective is the origin of projective geometry. The subject of geometry was further enriched by the study of intrinsic structure of geometric objects that originated with Euler and Gauss and led to the creation of topology and differential geometry.
As well as helping with many things in everyday life such as shape, size and relative positions of objects and understanding coordinates for use when reading a map for example, geometry teaches us the basic skill of logical thinking and reasoning. As it's true we won't encounter the terms line, point, bisect, angle, parallel lines, etc. In everyday living, but through these concepts the power of reasoning and logical thinking is presented. By going through the process of reasoning and proving we exercise our brain by tackling numerous everyday activities that require us to be an intelligent and critical human being not easily swayed by brute mass opinions no matter how many people hold such opinions.
