Niels Henrik Abel

I am trying to develop a completely new approach to the theory of functions.

My greatest joy is to solve a difficult mathematical problem.

I hope to return to Norway soon, but I don't know when.

I have a great deal of work to do, and very little time.

The mathematical world is a small one, and it is hard to get noticed.

I am always seeking for elegance and simplicity in my proofs.

I am very much in love with Sophie, and she is my greatest comfort.

If you want to make progress in mathematics, you should not study the methods, but the problems.

It is not enough to have a good mind; the main thing is to use it well.

The integral of a differential equation is a function whose derivative is the given differential equation.

I have been so busy that I have not had time to think about anything else.

Mathematics is the most sublime of all sciences.

I have made great progress in my studies.

The elliptic functions are a vast and fertile field for research.

It is a great pity that I have not had more time to devote to my studies.

The theory of equations is one of the most beautiful branches of mathematics.

The study of mathematics requires great patience and perseverance.

I have always been fascinated by the beauty and elegance of mathematics.

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

I have encountered many difficulties in my research, but I have always persevered.