Niels Henrik Abel

Mathematics Norwegian 1802 – 1829 450 quotes

Proved impossibility of solving quintic by radicals

Quotes by Niels Henrik Abel

The divergent series are the invention of the devil, and it is a shame to base on them any demonstration whatsoever.

Letter to Holmboe

If you want to make progress in mathematics, you should not study the methods of the pupils, but those of the masters.

Letter to Holmboe

It is not the quantity but the quality of the work that is important.

General sentiment from his writings

I have found a method of solving all equations of the fifth degree.

Mémoire sur les équations algébriques, où l'on démontre l'impossibilité de la résolution de l'équation générale du cinquième degré 1824

It is impossible to solve the general equation of the fifth degree by radicals.

Mémoire sur les équations algébriques, où l'on démontre l'impossibilité de la résolution de l'équation générale du cinquième degré 1824

The general equation of the fifth degree is not solvable by radicals.

Mémoire sur les équations algébriques, où l'on démontre l'impossibility de la résolution de l'équation générale du cinquième degré 1824

It is not the quantity of work, but the quality of work that is important.

General sentiment from his writings

The theory of elliptic functions is a vast and fertile field, which will provide ample material for the researches of geometers for centuries to come.

General sentiment from his writings on elliptic functions

I have discovered a new class of functions, which I call elliptic functions.

General sentiment from his writings on elliptic functions

The integral of a rational function of two variables can always be reduced to the integral of a rational function of one variable, and to elliptic integrals.

General sentiment from his writings on elliptic functions

The study of elliptic functions is one of the most interesting and important branches of mathematics.

General sentiment from his writings on elliptic functions

The properties of elliptic functions are so remarkable that they deserve to be studied with the greatest attention.

General sentiment from his writings on elliptic functions

The theory of elliptic functions is one of the most beautiful and profound theories in mathematics.

General sentiment from his writings on elliptic functions

It is a great misfortune that I have not been able to devote more time to the study of elliptic functions.

General sentiment from his writings on elliptic functions

The theory of elliptic functions is still in its infancy, and there is much to be done.

General sentiment from his writings on elliptic functions

The properties of elliptic functions are so rich and varied that they will provide an inexhaustible source of research for future generations of mathematicians.

General sentiment from his writings on elliptic functions

The theory of elliptic functions is a masterpiece of human genius.

General sentiment from his writings on elliptic functions

The properties of elliptic functions are so elegant and harmonious that they inspire admiration and wonder.

General sentiment from his writings on elliptic functions

The theory of elliptic functions is a testament to the power of human reason.

General sentiment from his writings on elliptic functions

The theory of elliptic functions is a monument to the human intellect.

General sentiment from his writings on elliptic functions