Niels Henrik Abel

Mathematics Norwegian 1802 – 1829 450 quotes

Proved impossibility of solving quintic by radicals

Quotes by Niels Henrik Abel

Vector fields curl and diverge.

Early vector ideas

Passion fuels the late-night calculations.

Personal note

The continued fraction for e is infinite.

Continued fractions 1827

Discussions in cafes birth theorems.

Paris letter 1826

Humor in failure: Wrong proof, right lesson.

Attributed wit

Topology knots the continuous.

Precursor ideas

Life's meaning in contribution to knowledge.

Reflection

The Laplace transform inverts convolutions.

Transform work

Academy acceptance validates effort.

On election 1826

Joke: Math books are full of problems.

Attributed

Probability densities integrate to unity.

Early probability

Gratitude to supporters in dark times.

Thank you letter 1828

Wisdom: Question everything mathematically.

Attributed wisdom

The Riemann surface branches realities.

Pre-Riemann ideas

Inner peace through solved equations.

Personal

The Euler-Maclaurin formula approximates sums.

Approximation paper 1826

Farewell to friends, hello to eternity.

Last words 1829

Innovation demands bold steps.

Attributed

Complex analysis unlocks contours.

Complex work 1828

Memories of childhood inspire.

Letter