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Mathematical analysis - Wikipedia

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Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions.[1][2] These theories are usually studied in the context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). Mathematical analysis formally developed in the 17th century during the Scientific Revolution,[3] but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were implicitly present in the early days of ancient Greek mathematics. For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy.[4] (Strictly speaking, the

Mathematical analysis - Wikipedia Jump to content From Wikipedia, the free encyclopedia Branch of mathematics A strange attractor arising from a differential equation . Differential equations are an important area of mathematical analysis with many applications in science and engineering. Mathematical analysis is the branch of mathematics that studies functions , spaces, and operators through quantitative methods of approximation and convergence. It grew out of calculus , especially the use of derivatives and integrals to study variable quantities, and in the 19th century its foundations were

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