Discrete Calculus
Topics in Discrete Calculus
Numbered in the order to learn them.
Intro to Finite Differences, Partial Sums, Etc.
Creating Telescoping Sums
Gosper's Algorithm, Wilf-Zeilberger Pairs, Etc. for Hypergeometric Series
Newton Interpolation
Integer-Valued Polynomials
Summation by Parts (Abel's Formula)
Pascal's Identity (Difference) and Hockeystick Identity (Sum)
Partial Sums of kth Powers
Exploiting Oscillation in Sums of Roots of Unity