31-08-2012, 01:23 PM
Developing a theory of Calculus
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Sir Issac Newton.
Unfortunately, at the same time as Newton, calculus was being developed by Leibinz. When Leibinz published his results, there was a bitter feud between the two men, with Newton claiming plagiarism. This bitter feud lasted until Leibinz death in 1713, it also extended between British mathematicians and the continent.
Mathematical Achievements of Newton
generalized binomial theorem
Newton's identities,
Newton's method,
classified cubic plane curves (polynomials of degree three in two variables),
Substantial contributions to the theory of finite differences,
Use of fractional indices
Used geometry to derive solutions to Diophantine equations.
Used power series with confidence and to revert power series.
Discovered a new formula for pi.
Scientific Achievements of Newton
Optics – Newton made great advancements into the study of optics. In particular he developed the spectrum by splitting white light through a prism.
Telescope – Made significant improvements to the development of the telescope. However, when his ideas were criticised by Hooke, Newton withdrew from the public debate. He developed an antagonistic and hostile attitude to Hooke, throughout his life.
Mechanics and Gravitation. In his famous book Principa Mathematic. Newton explained the three laws of motion that laid the framework for modern physics. This involved explaining planetary movements.