Monday, January 25, 2010

Nature and Growth of MatheMatics

Euclid Is One of the Oldest Mathematician of Greek Lived around 300 BCE
Who discovered the Basics of Mathematics.This Period is known as the Hellenistic period or Golden ages of Mathematics

The Elements of Geometry
  • Written by Euclid in BCE 320
  • Oldest Greek treatise of Mathematics preserved in its entirely
  • Dominated mathematical education over 2000 years in Europe
  • Collection of mathematical facts organized into a single dedective system
  • Ideal model of Scientific treatise
Contains
  • 13 books
  • 465 Definitions
  • 5 axioms
  • 5 common notations
  • 23 Definitions
Axioms
  1. A Straight line can be drawn from any point to any other point
  2. A finite line can be drawn continuously in a line
  3. A circle is described as a point and a distance
  4. All right angles are equal to one an another
  5. A straight line falling on two lines makes the interior angle on the same side less than two right angles meet in the same side which angles are less than two right angles
Common Notations
  1. Things equal to the same thing are equal to one an another
  2. Equals added to equals whole things are equal
  3. Equals subtracted from equals reminding s are equal
  4. Whole is greater than its part
  5. Things coincide are equal to one an another
Definitions
  1. Point is that which has no parts
  2. Line is a breadth less length
  3. The extremists of a straight lines are points
  4. A straight line is a line which are evenly with points
  5. A surface is that which has only length and Breadth



23. parallel lines are lines which are on the same pane can be drawn continuously in the both direction which wont meet in any directions