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arXiv · 1506.03697

Early Transcendental Analysis

Simon Cowell·Philippe Poulin
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Abstract

In Early Transcendentals (The American Mathematical Monthly, Vol. 104, No 7) Steven Weintraub presents a rigorous justifcation of the "early transcendental" calculus textbook approach to the exponential and logarithmic functions. However, he uses tools such as term-by-term differentiation of infinite series. We present a rigorous treatment of the early transcendental approach suitable for a first course in analysis, using mainly the supremum property of the real numbers.

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Simon Cowell, Philippe Poulin. 2015-06-10. Early Transcendental Analysis. https://arxiv.org/abs/1506.03697

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