  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.
