Early Transcendental Analysis
History and Overview
2015-06-12 v1
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.
Cite
@article{arxiv.1506.03697,
title = {Early Transcendental Analysis},
author = {Simon Cowell and Philippe Poulin},
journal= {arXiv preprint arXiv:1506.03697},
year = {2015}
}