Isaac Newton: Difference between revisions

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=[[Contribution to Calculus]]=
=[[Contribution to Calculus]]=


===='''Binomial Theorem'''====
"===='''Binomial Theorem'''====


1) Inspired by Wallis' attempt to square the circle and compute areas of curves:
===='''Fluxions'''====


[[Image:Circle area.gif|center]] 
===='''Applications of fluxions to extrema problems and area problems'''====


2) Tabulates the results and gets Pascal triangle and thus:
===='''Algorithms for the use of calculus'''====
[[Image:Calc.gif|center]]


3)[[Image:Integral.gif|thumb|left]] To compute that he simply applied this relation with n=1/2.
===='''Concept of limit'''===="

Revision as of 04:07, 4 December 2007

Life of Isaac Newton

Biographical Data

Born: December 25, 1642 in Woolsthorpe, England Professional life: until 1658 - School at Grantham 1661 - Left for Cambridge University 1665 - Forced to leave Cambridge in because of the plague 1666 - Stays in Woolsthorpe and begins to develop his most famous insights 1667 - Returned to Cambridge 1669 - Became a part of faculty Offered post of warden of the Mint in 1696 1670-1671 - Composed Methodis fluxionum - his main work on the calculus 1687 - Published first edition of Principia 1689-1690 and 1701-1702 - member of parliament for the university in 1703 - President of Royal Society Died: March 20, 1727, in London, England


Personal Life

Father died before Newton was born, mother left him when he was 3, grew up at grandmother's, puritanical upbringing; Introverted, insecure; Very protective of his privacy (only few manuscripts from his boyhood and undergraduate years); Incapable to accept other brilliant minds - e.g. campaign to destroy Leibnitz; Psychological problems - nervous breakdown in 1693: paranoia, depressions

Academic focus

Optics

"He denied the homogeneity of light, stating that it was complex and heterogeneous."

Gravity and Mechanics

Every 2 objects attract each other such as planet and the Sun, or Earth and the Moon, "attract each other with a force that depends on the porduct of heir masses and falls off the square of their distance apart."

3 laws of motion:

Mathematics

Fundamental work in the calculus; classical and analytic geometry; finite differences; classification of curves; methods of computation and approximation; probability

Secondary academic interests

Alchemy; Philosophy; Theology

Contribution to Calculus

"====Binomial Theorem====

Fluxions

Applications of fluxions to extrema problems and area problems

Algorithms for the use of calculus

====Concept of limit===="