# Gordan's Theorem

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## Theorem

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## Proof

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## Also known as

**Gordan's Theorem** is also known as the **Finite Base Theorem**.

Some sources give the name **Gordon's Theorem**, but that is incorrect.

## Source of Name

This entry was named for Paul Albert Gordan.

## Historical Note

**Gordan's Theorem** was proved by Paul Albert Gordan in $1868$.

He tried to generalized it to higher-order forms, but was unsuccessful.

David Hilbert finally completed the work in $1888$.

## Sources

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**Gordan, Paul Albert**(1837-1912) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**Gordan, Paul Albert**(1837-1912)