1. The History and Development of Calculus
... as, "the prime of my age for invention and minded mathematics, and [natural] philosophy more than at any time since." Newton is generally credited with the generalized binomial theorem, valid for any exponent. He discovered Newton's identities, Newton's methods; classified cubic plane curves (polynomials of degree three in two variables), made substantial contributions to ... the theory of finite differences, and was the first to use fractional indices and to employ coordinate geometry to derive solutions to Diophantine equations. He approximated partial sums of the harmonic series by l...
- Word Count: 6149
- Approx Pages: 25
- Grade Level: Undergraduate