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

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

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

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….

I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half ….

The Infinite is only a manner of speaking..

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….

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

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

Sin2 φ is odious to me, even though Laplace made use of it; should it be feared that sin2 φ might become ambiguous, which would perhaps never occur, ….

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….

My young friend, I wish that science would intoxicate you as much as our good Göttingen beer! Upon seeing a student staggering down a street..

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

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

For three days now this angel, almost too heavenly for earth has been my fiancée ... Life stands before me like an eternal spring with new and brilli….

His second motto: Thou, nature, art my goddess; to thy laws my services are bound..

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

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

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