Abstract Quote by David Mumford

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

I don't see how it's doing society any good to have so many members walking around with vague memories of algebraic formulas and geometric…

— Paul Lockhart

“Even a pure mathematician may find his appreciation of this geometry [applied geometry] quickened, since there is no mathematician so pure that he feels…

— G.H. Hardy

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

Geometry is one and eternal shining in the mind of God

— Johannes Kepler

Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.

— Stephen Hawking

Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geometry. Out…

— Jean Dieudonne

“Moreover, there is no known reason why the geometry of space and time should be described by the particular types of curved geometry defined…

— John D. Barrow

Geometry is one of the handles of science and philosophy.

— Xenocrates

Geometry is the archetype of the beauty of the world.

— Johannes Kepler

Here I beg you to observe in passing that the scruples that prevented ancient writers from using arithmetical terms in geometry, and which can…

— Rene Descartes

Algebra is nothing more than geometry, in words; geometry is nothing more than algebra, in pictures.

— Sophie Germain