Introduction
In the history, applications, and current practice of the mathematical sciences, Analysis is a domain of the most central importance, even if it has been contended (Steen 2003, p. 193) that it may be overemphasized in undergraduate programs. With roots back to the “Calculus” of real variables pioneered by Newton and Leibniz, Analysis can be defined loosely as the mathematical theory of change, based on the real number system. In the Mathematical Subject Classification (MSC), roughly one quarter of the first level categories (namely the subject numbers 26–49) can be ascribed to this huge domain, which includes both more classical areas like ordinary differential equations and real functions and also more abstract topics such as operator theory and harmonic analysis. In many university mathematics programs, the latter topics are more likely to be titles of advanced undergraduate or even graduate courses, while the basic techniques related to the study of real functions are...
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Winsløw, C. (2020). Analysis Teaching and Learning. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_100029
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