Niels Henrik Abel
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.
If you want to make progress in mathematics, you should not study the methods of the pupils, but those of the masters.
It is not the quantity but the quality of the work that is important.
I have found a method of solving all equations of the fifth degree.
It is impossible to solve the general equation of the fifth degree by radicals.
The general equation of the fifth degree is not solvable by radicals.
It is not the quantity of work, but the quality of work that is important.
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.
I have discovered a new class of functions, which I call 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.
The study of elliptic functions is one of the most interesting and important branches of mathematics.
The properties of elliptic functions are so remarkable that they deserve to be studied with the greatest attention.
The theory of elliptic functions is one of the most beautiful and profound theories in mathematics.
It is a great misfortune that I have not been able to devote more time to the study of elliptic functions.
The theory of elliptic functions is still in its infancy, and there is much to be done.
The properties of elliptic functions are so rich and varied that they will provide an inexhaustible source of research for future generations of mathematicians.
The theory of elliptic functions is a masterpiece of human genius.
The properties of elliptic functions are so elegant and harmonious that they inspire admiration and wonder.
The theory of elliptic functions is a testament to the power of human reason.
The theory of elliptic functions is a monument to the human intellect.