Thursday, 1 December 2016

GEOMETRY

Geometry  is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.

HISTORY:
 Geometry has its origin back to 2900BC relating to pyramids of ancient Egypt. Next the evolution of Geometry came back through Euclid in 300BC in the form of his book called "ELEMENTS".

In this he has postulated nearly five basic concept of geometry which are known as Euclid postulate.


  1. A straight line may be drawn between any two points.
  2. A piece of straight line may be extended indefinitely.
  3. A circle may be drawn with any given radius and an arbitrary center.
  4. All right angles are equal.
  5. If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles. 
 
Contemporary geometry has many sub-fields:
  • Euclidean geometry is geometry in its classical sense. The majority of nations includes the study of points, lines, planes, angles, triangles, congruence, similarity, solid figures, circles, and analytic geometry in their mandatory educational curriculum.[7] Euclidean geometry also has applications in computer science, crystallography, and various branches of modern mathematics.
  • Differential geometry uses techniques of calculus and linear algebra to study problems in geometry. It has applications in physics, including in general relativity.
  • Topology is the field concerned with the properties of geometric objects that are unchanged by continuous mappings. In practice, this often means dealing with large-scale properties of spaces, such as connectedness and compactness.
  • Algebraic geometry studies geometry through the use of multivariate polynomials and other algebraic techniques. It has applications in many areas, including cryptography and string theory.

Friends this is for this week. we will see the continuation about geometry weekly.