Euclid ... manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does. Votes: 3

In mathematical analysis we call x the undetermined part of line a: the rest we don't call y, as we do in common life, but a-x. Hence mathematical language has great advantages over the common language. Votes: 3

Now, the velocity of wave propagation can be seen, without the aid of any mathematical analysis, to depend on the elasticity of the medium and its density; for we can see that if a medium is highly elastic the disturbance would be propagated at a great speed. Votes: 3

The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking. Votes: 3

The abstract analysis of the world by mathematics and physics rests on the concepts of space and time. Votes: 1

The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic. Votes: 1

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Votes: 1

Mathematical Analysis is as extensive as nature herself. Votes: 0

Mathematical Analysis is... the true rational basis of the whole system of our positive knowledge. Votes: 0

Analysis kills spontaneity. The grain once ground into flour springs and germinates no more. Votes: 5 Henri Frederic Amiel

The laws of nature are but the mathematical thoughts of God. Votes: 4 Euclid