Discrete Calculus
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- 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