mathematician

Article

July 5, 2022

A mathematician is someone whose field of study and research is in the field of mathematics. This term is also intended for people who are experts in mathematics. Some people believe that mathematics is understood in its entirety, but there are still many unsolved problems. Research in various fields of mathematics is ongoing, and new discoveries in mathematics are published in scientific journals. Many journals are devoted to mathematics and many are also on subjects that apply mathematics (eg theoretical computer science and theoretical physics). Unlike science, mathematical research generally does not conduct experiments. In mathematics, truth is derived from other previously known truths. Even if experiments with computers and numerical data are involved, the expected end result is a proof of the theorem. Calculations are not a large part of mathematical research, and mathematicians don't necessarily have great skills at adding or multiplying numbers. Check out mental calculators about people who are great at doing calculations in their heads.

Motivation

Mathematicians are usually interested in finding and describing patterns that may have previously emerged from computational problems, but have now been abstracted into separate problems. Mathematical problems can arise from physics, economics, games, previous generalizations of mathematics, or problems that were created as challenges to be solved. Although most of mathematics is not immediately useful, history has shown that it can eventually be applied. For example, number theory had no practical use at first, but after research it turned out to be very useful for algorithms and cryptography. G. H. Hardy in his book A Mathematician's Apology said that mathematics should be studied because of its beauty, not because of the benefits of its application. For Hardy, the most beautiful mathematics is that which has no application, or "pure mathematics."

Difference

The difference between mathematicians and scientists (e.g. physicists) is that mathematicians generally do not conduct experiments to support or refute their conclusions. Theories in the natural sciences (eg Newton's theory of gravity) need to be modified or revised (in this case Einstein's theory of general relativity), along with the discovery of new data and experimental results that do not match the predictions of the theory. On the other hand, mathematical theory is static. If a theorem has been proven, then the theorem is true forever.

See also

List of mathematicians Physicist, Philosopher, Scientist