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Topic:mathematical analysis

Mathematical analysis is the branch of mathematics that focuses on the study of limits, continuity, derivatives, integrals, sequences, series, and functions. It involves rigorous proofs and reasoning to understand and manipulate various mathematical concepts and structures. The main goal of mathematical analysis is to provide a solid foundation for calculus and to extend the concepts of calculus to more abstract spaces and functions. It is widely used in many areas of mathematics and science, including physics, engineering, economics, and computer science.