In the following chapter, we will introduce the important concept of *infinite series*. Infinite series are applicable for both, real-valued and complex-valued analysis. Almost all results presented below are applicable in both cases unless stated differently.

- Definition: Convergent Complex Series
- Definition: Infinite Series, Partial Sums
- Definition: Convergent Real Series
- Definition: Absolutely Convergent Series
- Definition: Complex Infinite Series
- Definition: Absolutely Convergent Complex Series
- Definition: Divergent Series
- Section: Convergence and Divergence Criteria for Real Series
- Definition: Rearrangement of Infinite Series
- Section: Closed Formulas for Infinite Real Series
- Definition: \(b\)-Adic Fractions

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