What is Mathematics?
It is not easy to provide a definition of mathematics that is both general and complete. One rough description is that mathematics is the study of abstract relationships among numerical quantities, sets, and geometric shapes. Courses in mathematics include various forms of calculus, algebra, geometry, trigonometry, and set theory among other topics.
Mathematics proceeds deductively; mathematicians try to prove their conclusions with certainty. While lower-level classes often assign students exercises where the student needs to execute mechanical rules to arrive at the correct conclusion, as students become more advanced, they will be expected to complete proofs and derivations of their own to show some conclusion regarding mathematics. Those who enjoy puzzle solving or detecting patterns might be particularly interested in more advanced mathematics.
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