2015/06/10 by Cowell, Simon, Poulin, Philippe
#FOS: Mathematics #History and Overview (math.HO)
paper · doi:10.48550/arxiv.1506.03697
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.