Real analysis: inequalities, the continuum property, induction, sequences, functions and limits, continuity, contraction mappings and fixed points, differentiation, mean value theorems and Taylor's ...

In real analysis, functions are examined through the lens of limits, sequences, series, and metric space properties such as completeness and compactness.

David Tall, Mikhail Katz, A cognitive analysis of Cauchy's conceptions of function, continuity, limit and infinitesimal, with implications for teaching the calculus, Educational Studies in Mathematics ...

The course will cover the fundamental concepts and methods in complex analysis. The basic objects of study in the course will be complex differentiable functions in domains, and the far-reaching ...

The aim of the work presented in this paper was to develop and implement a structured approach for function analysis of a complex system, which focuses on the identification and characterization of ...