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Why did analysis come into being?

Analysis came into being because many aspects of the natural world can profitably be considered as being continuous—at least, to an excellent degree of approximation. Again, this is a question of modeling, not of reality.

What are the common functions that arise in analysis?

The common functions that arise in analysis are usually definable by formulas, such as f (x) = x2.

What is complex analysis in physics?

Complex analysis is particularly concerned with the analytic functions of complex variables (or, more generally, meromorphic functions). Because the separate real and imaginary parts of any analytic function must satisfy Laplace's equation, complex analysis is widely applicable to two-dimensional problems in physics.

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