The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it.
Carl Friedrich GaussIt may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.
Carl Friedrich GaussIt may be true that people who are merely mathematicians have certain specific shortcomings; however that is not the fault of mathematics, but is true of every exclusive occupation. Likewise a mere linguist, a mere jurist, a mere soldier, a mere merchant, and so forth. One could add such idle chatter that when a certain exclusive occupation is often connected with certain specific shortcomings, it is on the other hand always free of certain other shortcomings.
Carl Friedrich GaussSin2 ฯ is odious to me, even though Laplace made use of it; should it be feared that sin2 ฯ might become ambiguous, which would perhaps never occur, or at most very rarely when speaking of sin(ฯ2), well then, let us write (sin ฯ)2, but not sin2 ฯ, which by analogy should signify sin (sin ฯ)
Carl Friedrich GaussThat this subject [of imaginary magnitudes] has hitherto been considered from the wrong point of view and surrounded by a mysterious obscurity, is to be attributed largely to an ill-adapted notation. If, for example, +1, -1, and the square root of -1 had been called direct, inverse and lateral units, instead of positive, negative and imaginary (or even impossible), such an obscurity would have been out of the question.
Carl Friedrich Gauss