Niels Henrik Abel

I have succeeded in proving that the general quintic equation cannot be solved by radicals.

The theory of elliptic functions is not the result of a mere accidental discovery, but is one of the most beautiful chapters in the whole of mathematics.

By the study of elliptic functions, we are led to consider the most general class of integrals.

It seems to me that the problem of the integration of algebraic functions is one of the most important in analysis.

I rejoice that the imperfect methods of the old analysis are being replaced by more powerful methods of the new analysis.

The divergent series are the invention of the devil.

Mathematics is the science which draws necessary conclusions.

A man is a poor devil if he cannot find amusement in himself.

The imaginary number is a fine and wonderful resource of the human spirit, almost an amphibious something between being and not being.

If you are afraid of wolves, do not go into the forest.

In mathematics, as in life, the important thing is to find the solution to the problem.

The integration of rational functions is a matter of routine, but the elliptic case is profound.

I have worked hard on this problem for three years, and now it is solved.

Genius is patience.

The beauty of mathematics only shows itself to the patient seeker.

Abel's theorem shows that the sum of powers in certain series behaves differently.

Poverty is the mother of genius, but it is a harsh mother.

To solve a problem, one must first understand it deeply.

The fifth degree equation resists solution by radicals, as I have proven.

Life is short, but mathematics is eternal.