Mathematicians use high-level mathematics and technology to develop new mathematical principles, understand relationships between existing principles, and solve real-world problems.
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Mathematicians typically do the following:
Workers other than formal mathematicians use mathematical techniques. For example, engineers, computer scientists, physicists, and economists use mathematics extensively. Some workers, such as statisticians, actuaries, and operations research analysts, are specialists in a particular branch of mathematics. Some people with a mathematics background become math teachers.
Mathematicians work in the government and in private science and engineering research companies. They often work with engineers, scientists, and other professionals and therefore must often work around others' schedules.
Mathematicians who work in postsecondary education usually have a mix of teaching and research responsibilities. Many academic mathematicians do research by themselves or in collaboration with other mathematicians. Collaborators work together at the same institution or from different locations, communicating electronically. Mathematicians in academia often have help from graduate students.
In recent years there has been increasing attention on the difficulties that many students experience in studying mathematics at university level...
Here are some ways you can become better at mathematics.
Whenever I tell someone I'm a mathematician---or a movie star---they become immediately fascinated and ask me what I do all day. Here's a example...
What is pure mathematics? What do pure mathematicians do? Why is pure mathematics important?
The work of mathematicians falls into two broad classes: theoretical (pure) mathematics and applied mathematics. These classes, however, are not sharply defined and often overlap.
In order to make good and useful contributions to mathematics, one does need to work hard, learn one’s field well, learn other fields and tools, ask questions, talk to other mathematicians, and think about the “big picture”.