Mathematics is Beautiful

And is Everywhere!

Mathematics is everywhere

Love, Love, Love

J.H.Poincare (1854-1912)

The mathematician does not study pure

mathematics because it is useful; he studies it

because he delights in it and he delights in it

because it is beautiful.

Beautiful Mathematics

Artists

Mathematical Proof Creativity

Determination

Intuition

Beauty

Immortality

Open and Closed Sets

PaintingsPollock's Number 8 - Kandinsky's Composition 8

Van Gogh's Room in Arles – Turner's Snowstorm

Mathematics as a

Language

Galileo Galilei (1564-1642)

“The great book of nature can be read only by

those who know the language in which it was

written. And this language is Mathematics.”

Solve

Cube one-third the coefficient of x; add to it the square of one-half the constant of

the equation; and take the square root of the whole. You will duplicate this, and

to one of the two you add one-half the number you have already squared and

from the other you subtract one-half the same... Then, subtracting the cube root

of the first from the cube root of the second, the remainder which is left is the

value of x (Gerolamo Cardano, Ars Magna, 1545).

Rules

Need to be clear and concise

Highly abstract and technical

Symbolic language

Does not consist of formula alone

Word: is! 5 is the square root of 25

5 is less than 10

5 is a prime number

Glamorous Mathematics

Mathematics dive under water

Truly Spectacular

Amazing Mathematics

Mathematics is Beautiful

And is Everywhere!