Algebra Quote by Joseph-Louis Lagrange

Algebras are geometric facts which are proved.

— Omar Khayyam

The present author confesses that, to him, geometry is nothing at all, if not a branch of art ... A Treatise on Algebraic Plane Curves

— Julian Coolidge

Through algebra you easily arrive at equations, but always to pass therefrom to the elegant constructions and demonstrations which usually result by means of…

— Isaac Newton

As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to…

— Augustin-Louis Cauchy

Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.

— Omar Khayyam

The reader will find no figures in this work. The methods which I set forth do not require either constructions or geometrical or mechanical…

— Joseph-Louis Lagrange

Algebra is the metaphysics of arithmetic.

— John Ray

Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra…

— Omar Khayyam

The application of algebra to geometry ... has immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress…

— John Stuart Mill

ALGEBRA is a general Method of Computation by certain Signs and Symbols which have been contrived for this Purpose, and found convenient.

— Colin Maclaurin

Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over…

— David Mumford

In abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the results of…

— Ada Lovelace