Niels Henrik Abel

Mathematics Norwegian 1802 – 1829 450 quotes

Proved impossibility of solving quintic by radicals

Quotes by Niels Henrik Abel

Genius sees what others overlook.

Attributed aphorism

The theta functions are the key to periodicity.

On theta functions 1828

Life's brevity urges us to work harder.

Late reflection 1829

Integration by substitution is but the beginning.

Analysis work 1826

Berlin is the Mecca of mathematicians.

Travel letter 1825

A joke: Why did the function fear the limit? It approached too closely.

Attributed humor

Abel's summation formula bridges finite and infinite.

Summation paper 1826

Happiness lies in the pursuit of truth.

Attributed saying

The lemniscate constant is a jewel of analysis.

Lemniscate work 1827

Teachers plant the seeds of genius.

Letter to Bernt Holmboe 1823

Mathematics is the language of the universe.

Attributed aphorism

Modular functions transform under groups.

Modular theory 1828

Regret is for the idle; action defines us.

Personal reflection

The hypergeometric series generalizes hyperbolas.

Hypergeometric paper 1827

Prizes motivate, but passion drives.

On mathematical prizes 1828

Wit in math: Pi is irrational, but that's no reason to be.

Attributed joke

Galois theory echoes my impossibility proof.

Attributed observation

Family is the anchor in stormy seas.

Letter to siblings

The binomial expansion for negative exponents is infinite wisdom.

Binomial work 1826

Europe's salons buzz with ideas.

Travel correspondence 1826