**The Relation between Mathematics and Physics**

Pure mathematics and theoretical physics are becoming ever more closely connected. On the pure mathematics side we are interested in questions related to operator algebras, K-theory, geometry, analysis and topology; on the physics side we are interested in quantum field theory and statistical mechanics.

The relation between Mathematics and Physics has produced important results: these have had a deep influence on each other in recent years.

The way used by physicists to explore the nature and to observe the universe and the way used by mathematicians to do a powerful cognitive process developed over thousands of years is often the same: sometimes it does, sometimes it doesn’t.

Paul Erdos said: “*A mathematician is a device for turning coffee into theorems*“. These words contain a portion of truth.

For example: a topologist cannot distinguish a coffee mug from a doughnut! The doughnut and the coffee mug therefore have the same topology*:*

For a physicist, a doughnut-shaped chamber is used in fusion research in which a plasma is heated and confined by magnetic fields.

Richard Feynman wrote*: “In theoretical physics we discover that all our laws can be written in mathematical form; and that this has a certain simplicity and beauty about it. So, ultimately, in order to understand nature it may be necessary to have a deeper understanding of mathematical relationships.”*

Laws of Nature should have a mathematical form, because Nature is written in mathematical language.

In 1981, Feynman claimed that a scientist can see more beauty in a flower than an artist:

“*To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature … If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in.”*

(link: http://www.bbc.co.uk/programmes/p018w2zl)

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