A mathematician is a person whose primary area of study and/or research is the field of mathematics. Mathematicians are concerned with particular problems related to logic, space, transformations, numbers and more general ideas which encompass these concepts.
Some notable mathematicians include Sir Isaac Newton, Johann Carl Friedrich Gauss, Archimedes of Syracuse, Leonhard Paul Euler, Georg Friedrich Bernhard Riemann, Euclid of Alexandria, Jules Henri Poincaré, David Hilbert, Joseph-Louis Lagrange, Georg Cantor, and Pierre de Fermat.
Some scientists who research other fields are also considered mathematicians if their research provides insights into mathematics—one notable example is Edward Witten. Conversely, some mathematicians may provide insights into other fields of research—these people are known as applied mathematicians.
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