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Niels Henrik Abel was a Norwegian mathematician who made significant contributions to various areas of mathematics, particularly in the fields of algebra and mathematical analysis. His most famous work is probably his proof of the impossibility of solving the general quintic equation in radicals, a problem that had puzzled mathematicians for centuries. Despite dying at a young age, Abel's work laid the foundation for modern algebraic thinking and he is considered one of the greatest mathematicians of the 19th century.

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Q: What was niels abel achievements?
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