Mathematical analysis is a part of mathematics. It is often shortened to analysis. It looks at functions, sequences and series. These have useful properties and characteristics that can be used in engineering. Mathematical analysis provides a rigorous logical foundation to calculus, which studies continuous functions, differentiation and integration. Mathematical analysis is a short version of its old name "infinitesimal analysis", with some of its key subfields including real analysis, complex analysis, differentiation equation and functional analysis.
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