Algebra Quotes

The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal calculus, although the eighteenth century shyness toward it had long lost all point.

Mathematicians call it “the arithmetic of congruences.” You can think of it as clock arithmetic. Temporarily replace the 12 on a clock face with 0. The 12 hours of the clock now read 0, 1, 2, 3, … up to 11. If the time is eight o’clock, and you add 9 hours, what do you get? Well, you get five o’clock. So in this arithmetic, 8 + 9 = 5; or, as mathematicians say, 8 + 9 ≡ 5 (mod 12), pronounced “eight plus nine is congruent to five, modulo twelve.

John Derbyshire

The algebraic sum of all the transformations occurring in a cyclical process can only be positive, or, as an extreme case, equal to no

Rudolf Clausius

Art is fire plus algebra.

Jorge Luis Borges

As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra.

Augustin-Louis Cauchy

So what if I don't learn algebra?''Someday schools will be open again,' Mom said. 'Things will be normal. You need to do your work now for when that happens.''That's never going to happen,' Jon said. 'And even if schools do open up somewhere, they're not going to open up here. There aren't enough people left.' 'We don't know how many people are like us, holed up, making do until times get better.''I bet whoever they are, they aren't studying algebra,' Jon said.

Susan Beth Pfeffer

It's only in Algebra that two negatives make a positive

Charmaine J.Forde

Chemistry has the same quickening and suggestive influence upon the algebraist as a visit to the Royal Academy, or the old masters may be supposed to have on a Browning or a Tennyson. Indeed it seems to me that an exact homology exists between painting and poetry on the one hand and modem chemistry and modem algebra on the other. In poetry and algebra we have the pure idea elaborated and expressed through the vehicle of language, in painting and chemistry the idea enveloped in matter, depending in part on manual processes and the resources of art for its due manifestation.

James Joseph Sylvester

[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing—one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.

Maths is at only one remove from magic.