Niels Henrik Abel

Mathematics Norwegian 1802 – 1829 450 quotes

Proved impossibility of solving quintic by radicals

Quotes by Niels Henrik Abel

In the realm of functions, elliptic curves dance in harmony.

Late paper 1829

I regret only that I have not lived to see my work fully appreciated.

Deathbed words (attributed) 1829

The path to discovery is paved with failures.

Attributed reflection

Transformations of integrals reveal hidden symmetries.

Work on integrals 1827

Norway is too small for great mathematics; I must go to Berlin.

Letter to family 1825

Humor in mathematics? Only the irony of unsolved problems.

Attributed witty remark

The binomial theorem generalizes beautifully, but higher degrees falter.

Paper on binomial series 1826

Friendship is the greatest treasure in a mathematician's life.

Attributed personal saying

Abel's identity for sums of powers is a cornerstone.

Identity proof 1826

Illness takes my strength, but not my mind.

Letter from sickbed 1829

The devil lurks in divergent series, tempting the unwary.

Attributed joke on series

To prove impossibility is as great as to find a solution.

On quintic proof 1824

Youth is no barrier to profound thought.

Attributed reflection

Elliptic functions unify the transcendental world.

Major work excerpt 1828

I owe my discoveries to persistent labor.

Interview remark (attributed)

Mathematics demands clarity above all.

Attributed saying

The general term of the series for arcsin is elegant.

Series paper 1827

In solitude, the mind finds its greatest freedom.

Personal letter

Proofs by contradiction reveal deep truths.

Quintic proof method 1824

Travel broadens the mathematical horizon.

Letter from Europe 1826