What Is Mathematics and Why Does It Matter?

Mathematics is the study of patterns, quantity, structure, space and change. It uses logic, definitions and proofs to explain relationships between numbers, shapes and ideas. It began with practical needs such as counting, measuring and calculating. Over time, it developed into a rigorous field of study, from ancient Greek geometry to modern research. Mathematics is vital to science, engineering, medicine, technology and the social sciences. While some areas focus on real-world applications, pure mathematics explores ideas that may later lead to unexpected practical uses.

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