Carl Friedrich Gauss

Mathematics without proofs is like a tree without roots.

In the beginning, I believed it to be true, then I thought it was false, and now I know it to be true again.

The beauty of mathematics lies in its certainty.

I have always considered the fundamental theorems of algebra as among the most beautiful in mathematics.

To be a great mathematician requires the ability to see connections where others see only isolated facts.

The universe is infinite in all directions, but mathematics allows us to grasp it.

My brain is always working on some problem, even in sleep.

The proof of Fermat's Last Theorem for n=4 was a delightful challenge.

Colleagues are like stars; some shine brightly, others are distant.

The integral of the Gaussian function is the square root of pi.

Life's greatest joy is the pursuit of truth in numbers.

I regret that I have not published more of my discoveries during my lifetime.

The geometry of space is not Euclidean, but I will not publish it to avoid controversy.

Happiness is the reward of virtue, but in mathematics, it is the discovery of truth.

The binomial theorem is a jewel in the crown of algebra.

Errors in observation are inevitable, but least squares corrects them elegantly.

I am old now, but my mind still wanders through the fields of numbers.

The zeta function reveals the secrets of primes.

To teach mathematics is to teach clarity of thought.

The day I discovered the fundamental theorem of algebra was one of the happiest of my life.