Abstract
Let me recall briefly the familiar curriculum of the school, and the continuation of it to the point at which the so called algebraic analysis begins.
One starts with powers of the form a = b c, where the exponent c is a positive integer, and extends the notion step by step for negative integer values of c, then for fractional values of c, and finally, if circumstances warrant it, to irrational values of c. In this process the concept of root becomes subordinated to the general concept of power.
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© 2016 Springer-Verlag Berlin Heidelberg
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Klein, F. (2016). I. Logarithmic and Exponential Functions. In: Elementary Mathematics from a Higher Standpoint. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49442-4_9
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DOI: https://doi.org/10.1007/978-3-662-49442-4_9
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