It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment..

Complete knowledge of the nature of an analytic function must also include insight into its behavior for imaginary values of the arguments. Often the….

To the distracting occupations belong especially my lecture courses which I am holding this winter for the first time, and which now cost much more o….

With a thousand joys I would accept a nonacademic job for which industriousness, accuracy, loyalty, and such are sufficient without specialized knowl….

Ask her to wait a moment - I am almost done..

The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the mos….

When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again..

Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems..

I have the vagary of taking a lively interest in mathematical subjects only where I may anticipate ingenious association of ideas and results recomme….

The Infinite is only a manner of speaking..

Life stands before me like an eternal spring with new and brilliant clothes..

The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it..

Arc, amplitude, and curvature sustain a similar relation to each other as time, motion, and velocity, or as volume, mass, and density..

The higher arithmetic presents us with an inexhaustible store of interesting truths - of truths, too, which are not isolated, but stand in a close in….

Mathematicians stand on each other's shoulders..

No contradictions will arise as long as Finite Man does not mistake the infinite for something fixed, as long as he is not led by an acquired habit o….

There have been only three epoch-making mathematicians, Archimedes, Newton, and Eisenstein..

Does the pursuit of truth give you as much pleasure as before? Surely it is not the knowing but the learning, not the possessing but the acquiring, n….

That this subject [of imaginary magnitudes] has hitherto been considered from the wrong point of view and surrounded by a mysterious obscurity, is to….

The total number of Dirichlet's publications is not large: jewels are not weighed on a grocery scale..

I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propo….