Niels Henrik Abel

Mathematics Norwegian 1802 – 1829 450 quotes

Proved impossibility of solving quintic by radicals

Quotes by Niels Henrik Abel

Love for math sustains through hardship.

Personal letter

The sine integral has asymptotic beauty.

Asymptotics paper 1827

Mentors are ladders to heights.

To Holmboe 1823

Innovation springs from tradition.

Attributed saying

Conformal mappings preserve angles of truth.

Attributed on mappings

Time is the mathematician's foe and friend.

Reflection

The beta function links integrals and betas.

Beta function work 1826

Society undervalues pure math.

Public remark 1828

Wit: Equations are like puzzles, missing pieces annoy.

Attributed joke

Determinants reveal linear dependencies.

Determinant theory 1826

Fulfillment in intellectual pursuit.

Personal saying

The arc length of ellipse eludes radicals.

Ellipse paper 1827

Correspondence with peers ignites ideas.

To Legendre 1826

Greatness requires sacrifice.

Attributed aphorism

Fourier series decompose harmonies.

Attributed on Fourier

End is near, but theorems endure.

Deathbed (attributed) 1829

Diligence begets brilliance.

Reflection

The Poisson equation in potential theory.

Attributed work

Challenges forge the strongest proofs.

Letter

Math's elegance is its reward.

Attributed saying