Sequences, series, summability Series: basic notions Concept
Series
Summary
A series is the infinite sum of the terms of a sequence. It is studied through its partial sums, the sums of finitely many first terms. The node series gives the precise definition.
Where this leads
10 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Series_(mathematics), lead section
About this page
| Tag | 0NM626FH6Q |
|---|---|
| URI | m2://0NM626FH6Q |
| Kind | concept |
| Writing | W1 stated |
| MSC | 40A05 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
- Convergent series
- Telescoping series
- Divergent series
- Alternating series
- Cauchy product
- Rearrangement of a series
- Series of functions
Definitions
Used by
- Lambert series
- Measure
- Dirichlet series
- Trigonometric series
- Countable additivity
- Fourier series
- Fourier series on the torus
- Kolmogorov's three-series theorem