Discrete geometry is concerned mainly with questions of the relative position of simple geometric objects, such as points, lines, and circles.It has applications in many areas, including cryptography and string theory Algebraic geometry studies geometry through the use of multivariate polynomials and other algebraic techniques.It is closely connected to convex analysis, optimization and functional analysis and has important applications in number theory Convex geometry investigates convex shapes in the Euclidean space and it’s more abstract analogs, it uses real analysis techniques.In practice, it actually deals with large-scale properties of spaces, such as connectedness and compactness Topology is the field of study concerned with the properties of geometric objects that are unchanged by continuous mappings.It has applications in physics, including in general relativity Differential geometry uses techniques of calculus and linear algebra to study problems in geometry.Euclidean geometry has applications practical applications in computer science, crystallography, and various branches of modern mathematics Euclidean geometry includes the study of points, lines, planes, angles, triangles, congruence, similarity, solid figures, circles and analytic geometry.Hence the sub-fields of Contemporary Geometry are: Numbers are further utilized when Descartes was able to formulate the concept of coordinates. Considering the Pythagoreans, numbers are introduced in geometry in the form of numerical values of lengths and areas. It used to be all about shapes and measurements, but numbers have also started making its way to geometry. Also, the volume of 3-dimensional objects such as cubes, cylinders, pyramids, and spheres can be computed using geometry. Circumferences, radii, and areas are few of the concepts concerning length and area. The most basic forms of geometry are called Euclidean geometry which comprises of lengths, areas, and volumes are dealt here. Let us look at some of the uses of Geometry in Daily Life. But none of these has changed their existence and applications of geometry in daily life and it still reflects in our everyday experience. But modern geometry is a little more advanced and has strong ties with physics and is an integral part of new physical concepts such as relativity and strong theories, diverging the study of geometry much more from these basic concepts. In addition, the rise of different perspectives in this field of study has given rise to projective geometry. For an elementary or middle school student, it is all about different basic shapes including their naming, properties, and formulas related to their areas and volumes. Because of it, plane figures can now be represented analytically and is one of the driving forces for the development of calculus. An important evolution for the science of geometry was created when Rene Descartes was able to create the concept of analytical geometry (geometry using coordinates). Euclid considered to be the Father of Geometry turned this field of study into an axiomatic form at around 3rd century BC, and these axioms are still useful. It is primarily studied to be a practical guide for measuring lengths, areas, and volumes, and is still studied further in various important projects. One of the classical disciplines of mathematics, Geometry is derived from the Greek which means Earth and Metron, upon translating it roughly means “Earth Measurement” because on the whole it is concerned with the properties of space and figures.
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