History - III
f. Guillaume de L'hopital (1661 - 1704 A.D)
-> New Calculus Book.
-> L'Hopital's Rule.
g. Bernoulli Brothers (1665 - 1705 A.D)
-> Bernoullian Identity.
-> Function series expansion through integrated repetition.
-> Fully understand the Leibniz's presentation of Calculus.
h. Brook Taylor (1665 - 1705 A.D)
-> Created a solution to the center of oscillation of a body based on Differential Calculus.
-> Methodus Incrementorum Directa Et Inversa - calculus of finite differences, integration by parts.
A.D Era - 17th Century
a. Leonhard Euler (1701 - 1783 A.D)
-> Euler's Theorem.
-> Euler's angles, equations, and formula.
-> Euler - Lagrange equation.
b. Joseph Louis Lagrange (1736 - 1813 A.D)
-> Proving that every positive integer is the sum of four squares.
-> Fonctions Analytiques.
-> Proving Wilson's Theorem.
c. Pierre Simon Laplace (1749 - 1827 A.D)
-> Pierre - Simon Laplace.
-> Theorie Analytique des Probabilites.
d. Carl Friedrich Gauss (1777 - 1855 A.D)
-> Regular polygon with 17 sides using a compass and straight edge.
-> Disquisitiones Arithmeticae (1801).
-> Cauchy Integral theorem.
e. Augustin - Louis Cauchy 1789 - 1857 A.D)
-> Cours d'analyses del Ecole Polytechnique (1821).
-> He introduced "epsilon - delta definition for limits.
-> He founded the modern theory of elasticity and introduce the Stress.