A mathematical object is a concept or a structure that is defined and studied in mathematics. It is an abstract idea that can be represented and manipulated using mathematical language and symbols.
Mathematical objects can be simple, such as numbers, or more complex, like functions and spaces. Other examples are sets, groups, points, lines, vectors, maps, and so on.
They can be used to model real-world phenomena, express mathematical relationships, and solve mathematical problems. The study of mathematical objects often involves proving theorems, making deductions, and exploring their properties and relationships.