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Supplementary mathematics/Real analysis

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Real analysis or real-scientific analysis is a branch of mathematics analysis that studies and analyzes the behavior of real numbers, real sequences and series of real numbers and real functions.

Convergences, limits, continuity, smoothness, differentiability and integration are the characteristics of real-valued sequences and functions that are checked by real analysis. One of the applications of mathematical analysis is in integral and differential calculus and topology, of course. Its applications are analyzed and acted on based on real ideas. In a wide range of these applications and research, real-time analysis has become a vital tool for research and analysis for these ideas.