Mathematics as a Science of Patterns

Mathematics as a Science of Patterns means it studies recurring arrangements and relationships found both in the natural world and abstract concepts. It identifies, describes, and predicts how different elements relate, such as numbers, shapes, or structures. By recognizing patterns, mathematicians develop formulas and rules that explain complex phenomena, from the symmetry of crystals to the flow of financial markets. This approach transforms observations into systematic knowledge, providing a universal language to understand and manipulate the patterns underlying reality and human-created systems alike.