Published By: Bingham's Lens

A collection of visual and written ideas produced by the mathematical students of Western New Mexico University while working with adjunct faculty member, Tyler Bingham (Fall Semester 2019).

Purchase"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."

-Richard Courant

"Pure mathematics is, in its own way, the poetry of logical ideas."

-Albert Einstein

"The beauty of mathematics only shows itself to more patient followers."

- Maryam Mirzakhani

"As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality."

-Albert Einstein

"The pure mathematician, like the musician, is a free creator of his world of ordered beauty."

-Bertrand Russell

"The ‘Muse’ is not an artistic mystery, but a mathematical equation. The gift are those ideas you think of as you drift to sleep. The giver is that one you think of when you first awake."

-Roman Payne

"The Universal Zulu Nation stands to acknowledge wisdom, understanding, freedom, justice, and equality, peace, unity, love, and having fun, work, overcoming the negative through the positive, science, mathematics, faith, facts, and the wonders of God, whether we call him Allah, Jehovah, Yahweh, or Jah."

-Afrika Bambaataa

"While physics and mathematics may tell us how the universe began, they are not much use in predicting human behavior because there are far too many equations to solve. I'm no better than anyone else at understanding what makes people tick, particularly women."

-Stephen Hawking

"Pure mathematics is, in its way, the poetry of logical ideas."

-Albert Einstein

"Math is the language of the universe. So the more equations you know, the more you can converse with the cosmos."

-Neil deGrasse Tyson

"Mathematics consists in proving the most obvious thing in the least obvious way."

-George Polya

"Mathematics is the art of giving the same name to different things."

-Henri Poincare

"Mathematics is less related to accounting than it is to philosophy."

-Leonard Adleman

"Mathematics has beauty and romance. It's not a boring place to be, the mathematical world. It's an extraordinary place; it's worth spending time there."

-Marcus du Sautoy

"As far as the laws of mathematics refer to reality, they are not certain, and as far as they are not certain, they do not refer to reality."

-Albert Einstein

"Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers."

-Shakuntala Devi

"Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers."

-Shakuntala Devi

I AM about to appear very inconsistent. In previous sections I have said that all figures in Flatland present the appearance of a straight line; and it was added or implied, that it is consequently impossible to distinguish by the visual organ between individuals of different classes: yet now I am about to explain to my Spaceland critics how we are able to recognize one another by the sense of sight.

If however the Reader will take the trouble to refer to the passage in which Recognition by Feeling is stated to be universal, he will find this qualification - "among the lower classes." It is only among the higher classes and in our temperate climates that Sight Recognition is practised.

That this power exists in any regions and for any classes is the result of Fog; which prevails during the greater part of the year in all parts save the torrid zones. That which is with you in Spaceland an unmixed evil, blotting out the landscape, depressing the spirits, and enfeebling the health, is by us recognized as a blessing scarcely inferior to air itself, and as the Nurse of arts and Parent of sciences. But let me explain my meaning, without further eulogies on this beneficent Element.

If Fog were non-existent, all lines would appear equally and indistinguishably clear; and this is actually the case in those unhappy countries in which the atmosphere is perfectly dry and. transparent. But wherever there is a rich supply of Fog objects that are at a distance, say of three feet, are appreciably dimmer than those at a distance of two feet eleven inches; and the result is that by careful and constant experimental observation of comparative dimness and clearness, we are enabled to infer with great exactness the configuration of the object observed.

An instance will do more than a volume of generalities to make my meaning clear.

Suppose I see two individuals approaching whose rank I wish to ascertain. They are, we will suppose, a Merchant and a Physician, or in other words, an Equilateral Triangle and a Pentagon: how am I to distinguish them?

By: Edwin A. Abbott - Exercept from, "Flatland - A Romance of Many Dimensions"