Today, the term "applied mathematics" is used in a broader sense. Engineering and computer science departments have traditionally made use of applied mathematics.įluid mechanics is often considered a branch of applied mathematics and mechanical engineering. This history left a pedagogical legacy in the United States: until the early 20th century, subjects such as classical mechanics were often taught in applied mathematics departments at American universities rather than in physics departments, and fluid mechanics may still be taught in applied mathematics departments. These areas of mathematics related directly to the development of Newtonian physics, and in fact, the distinction between mathematicians and physicists was not sharply drawn before the mid-19th century. Historically, applied mathematics consisted principally of applied analysis, most notably differential equations approximation theory (broadly construed, to include representations, asymptotic methods, variational methods, and numerical analysis) and applied probability. A numerical solution to the heat equation on a pump casing model using the finite element method.
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