| Introduction to Calculus - 1 |

Sept. 3, 2024, 4:43 p.m.

Definition

 

Calculus 

  • -> a branch of mathematics that deals with growth, motion, maxima and minima. 

  • -> it is the change and motion, where max with min performance and expense are involved. 

  • -> it is used in study of the orbits of planets, paths of man - made space ships, etc.

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History - I

 

B.C Era

a. Pythagoras (570 - 495 B.C)

-> Pythagoreans, a group of mathematicians.

-> Geometry expansion, rigorous approach builded from 1st principles, square and triangular numbers.

-> Pythagora's Theorem/Pythagorean's Theorem.

 

 b. Democritis (460 - 370 B.C)

-> Atomic theory of the universe formulation.

-> Geometry and fractions development.

-> Volume of a cone.

 

c. Euclid (300 B.C)

-> Father of Geometry and Mathematics

-> Elements

-> Euclidean Geometry

 

d. Archimedes (287 - 212 B.C)

-> Modern Calculus.

-> Pi calculation, Geometry, Area of circle (using infinitesimal).

-> Volume of a sphere, volume of solid.

 

A.D Era

a. Aryabhata (476 - 550 A.D)

-> Trigonometric Functions definition.

-> Completed Tables of Sine and Versine, Quadratic Equations solutions.

-> Irrational Number.