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Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

INTO JAPANESE

数学 (ギリシャ語 μάθημα máthēma から「の知識、研究、学習」) 数量 (番号)、構造、空間、変化などのトピックに関する研究は。数学者と哲学者の正確な範囲の間でビューの範囲と数学の定義があります。 数学はパターンを探し出して新しい進的アプローを策定するに使用