Functions and Analysis

0703 Submissions

[1] viXra:0703.0011 [pdf] submitted on 10 Mar 2007

The Total Differential Integral of Calculus

Authors: Gerardo Alvarado
Comments: recovered from sciprint.org

I deduce a series which satisfies the fundamental theorem of calculus without dependence on an explicit function. I prove Taylor's theorem and show that it is closely related. I deduce a series for the logarithm function and from this series deduce the power series representation of the logarithm function along with the interval of convergence. I also solve an ordinary differential equation.
Category: Functions and Analysis