Math Tables:


An Introduction to Generalized Calculus

1994,1998, David Manura (Rough Draft Version)

Table of Contents

Preface - The building blocks of a calculus.

I. The Product Calculus
    A. Introduction
    B. The Discrete Iteration(Discrete Product)
    C. The Continuous Iteration(Continuous Product) 
    D. The Continuous Limit(Anti-Product)
    E. Product Expansion Theorem

II. The Theory of Generalized Calculus
    A. More Anti-Iterations
    B. Iterations from Anti-Iterations
    C. Anti-Iterations from Iterations
    D. Expansion Theorems
    E. Notation & Manipulating Calculuses

Update: This was one of my early adventures into mathematics, and it's been a long time since I've done anything more on it, but over the years others reading this have brought to my attention various similar pursuits, so I'll mention them here for the benefit of those who maintain an interest in it: