Mathematics as a Profession (422:10)
Several renowned mathematicians talk about the nature of mathematics and what inspired them to choose mathematics as a profession.
Doing the Math (03:34)
For the mathematician, mathematics is an infinite process of discovery. Math possesses aesthetic and universal qualities of the world. Patterns of numbers become more complex in abstract math.
Are Mathematicians Quirky? (03:30)
Mathematicians see things in unique ways that others don't see. They are drawn to mathematics for the freedom it allows them to explore the world as they choose.
Mathematicians ponder the wonder and significance of geometry and algebra in relation to Pythagoras' theorem, spheres, polyhedra and other shapes in order to understand dimension.
The qualities of a mathematician include the ability to begin anew and think intensely, and strive for answers. Problems are seen as a way of assessing where one is with the dilemma.
Number Theory (04:16)
Number theory is an old field. Defining spaces between prime numbers and the Riemann Theory are central to modern number theory.
The "proof" is the acid test of mathematics. Finding the right proof is the essential truth of something. Proofs have become more strict, stylized, and rigorous.
Mathematics is also about uncertainty, or probability. Dice and the I-Ching can be used for probability problems. The more random the numbers, the more predictable they are.
The Real World (04:19)
Nice problems come out of the real world. To understand the physical world, math is needed to describe the quantitative phenomenon of one with the other.
Mathematicians get excited about the inspiration and epiphany that comes from solving problems. When one least expects it, math becomes relevant in unique ways.
The Last Word (03:01)
Mathematics allows for exploration. It is the basis of understanding other disciplines such as computer science, physics, and biology. The universe runs on mathematical principles.
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