Mathematics is a field of study that deals with numbers, quantity, structure, space, and change. It is used to analyze and understand patterns and relationships in the world around us. Mathematicians use a variety of tools and methods such as logic, analysis, geometry, algebra, and statistics to solve problems and create new knowledge. Mathematics is considered the language of science and is used in a wide range of disciplines including physics, engineering, economics, computer science, and biology. Research in mathematics involves exploring new mathematical theories, developing new algorithms and techniques, and applying mathematical principles to real-world problems.