Mathematics is often defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of "figures and numbers." In the formalist view, it is the investigation of axiomatically defined abstract structures using logic and mathematical notation; other views are described in the philosophy of mathematics article. Because of its applicability in a wide variety of scientific disciplines, mathematics has been called "the language of the universe."
See the list of mathematical topics for a far more advanced list of mathematical topics.
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