Borders Quote by Ivars Peterson

To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of…

— Ivars Peterson

Few realize that the world of modern mathematics is rich with vivid images and provocative ideas.

— Ivars Peterson

I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that people learn…

— William Thurston

Mathematics is one of the most basic -- and most ancient -- types of knowledge. Yet the details of its historical development remain obscure…

— Ivor Grattan-Guinness

“Knowing mathematics is like wearing a pair of X-ray specs that reveal hidden structures underneath the messy and chaotic surface of the world. Math…

— Jordan Ellenberg

“A key ingredient in appreciating what mathematics is about is to realize that it is concerned with ideas, understanding, and communication more than it…

— G. Arnell Williams

“Mathematics is much more than a language for dealing with the physical world. It is a source of models and abstractions which will enable…

— Melvin Schwartz

One of the chief triumphs of modern mathematics consists in having discovered what mathematics really is.

— Bertrand Russell

A number of aspects of mathematics are not much talked about in contemporary histories of mathematics. We have in mind business and commerce, war,…

— Eric Temple Bell

The point of mathematics is that in it we have always got rid of the particular instance, and even of any particular sorts of…

— Alfred North Whitehead

Mathematics is a vast adventure; its history reflects some of the noblest thoughts of countless generations.

— Dirk Jan Struik

...nature seems very conversant with the rules of pure mathematics, as our own mathematicians have formulated them in their studies, out of their own…

— James Jeans