Mathematics is not located in a physical place; rather, it exists as an abstract field of study and a body of knowledge. It is the science of structure, order, quantity, and relation, developed through logical reasoning and rigorous proofs based on axioms and definitions
. Mathematics encompasses various areas such as number theory, algebra, geometry, calculus, and more, which have evolved over centuries and continue to expand
. Mathematics is present everywhere in the world around us—it underlies natural sciences, engineering, medicine, finance, computer science, and social sciences, serving as a fundamental tool for modeling and understanding phenomena
. It is embedded in the objects we create, the art we admire, and the technologies we use daily
. Educationally, mathematics is a core part of curricula worldwide and is practiced both as pure mathematics (for its own sake) and applied mathematics (for practical applications)
. In summary, mathematics "is" in the abstract realm of ideas and logic, manifested in the patterns and structures we observe and utilize in the real world, and it is studied and developed by humans across cultures and history