Quotes from Leonhard Euler

Transcendental [numbers], They transcend the power of algebraic methods.

Logic is the foundation of the certainty of all the knowledge we acquire.

Madam, I have come from a country where people are hanged if they talk.

To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.

For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear.

Nothing takes place in the world whose meaning is not that of some maximum or minimum.

Logic is the foundation of the certainty of all the knowledge we acquire.

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.

The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error.

Die Mathematik ist es, die uns vor dem Trug der Sinne schützt und uns den Unterschied zwischen Schein und Wahrheit kennen lehrt.

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.

Now I will have less distraction.

After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential.