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Algebra Revisited
Reference: Computations and Algebraic Manipulations
Common Identities/Formulas and Algebraic Maneuvers
Generating Functions, Umbral Calculus, and Related Ideas

Motivation of "Formal" Power Series

Topics in Motivation of "Formal" Power Series

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Fun Example: Power Series
Extended Binomial Theorem for (Formal) Power Series

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Up nextGenerating Functions, and References

More in Generating Functions, Umbral Calculus, and Related Ideas

Motivation of "Formal" Power Series
Generating Functions, and References
Shift Operators
Ordinary vs. Exponential Generating Functions
Convolution of Sequences
Fourier/Laplace Transform as Continuous Generating Function
Fourier Series as Multiplicative Version of Generating Function
Vandemonde's Identity
Full Solution to Linear Recurrences
Discrete Calculus in Terms of Generating Functions?
Binomial-Type Identities
Partitions and the Pentagonal Number Theorem
Alternative Perspectives on Beta and Gamma Functions

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