What is pure math research?

In ‘Pure Mathematics’ The Pure Mathematics Group has internationally renowned research groups in Algebra, Analysis, Combinatorics and Probability, and Geometry and Mathematical Physics. Research students are welcomed in to all the research groups and are actively involved in all research activities.

Why is math research important?

Research in mathematics education has primarily two purposes: first to better understand the nature of mathematical thinking, teaching, and learning; and second to use such knowledge in practice for learning and teaching mathematics.

How do pure mathematicians get paid?

For most professionals working as mathematicians, wages are reported as annual salaries rather than hourly amounts. These numbers translate to a low-end salary of $58,100 and a high-end salary of $162,060. The median annual wage for a mathematician is $105,030.

What do pure mathematicians do?

A Pure Mathematicians invents the ideas that are concrete though in imagination : The Mathematical world does not revolve around calculus , algebra, and equations. These are merely the contemplation tools that are used by mathematicians as methods to identify the underlying patterns between numbers.

What is the problem with pure mathematics?

The “trouble” with pure mathematics or ideas is that empirical world is open world (not closed like in mathematics), and as we build newer and newer practical things on top of it, you never know what’s useful. Say, lambda calculus and functional programming.

What are some examples of pure mathematics that have real applications?

Here are some examples of pure mathematics that has shown to have real applications – however I am not sure of the origins. Radon transform applied to tomography e.g ultrasound detection of babies. 😉 Partial differential equations applied to heat, waves, weather,finance etc.

What are some examples of pure mathematics from the 20th century?

An example from pure mathematics of the 20th century is the applications of category theory to computer science. People also forget that the notion of the graph of a function was invented by Descartes and of course is now ubiquitous in our daily papers, to show clearly how bad things are getting!

Why do we need mathematical knowledge?

Most of our current mathematical knowledge was developed to explain something already observed empirically.