This first volume provides a self-contained and rigorous introduction to the calculus of functions of a single real variable.

Published in 2010 as a sequel to ACICARA , this volume extends the rigorous treatment to functions of several variables. A Course in Calculus and Real Analysis, 2nd ed. - MAA.org

Logarithmic, exponential, and trigonometric functions are defined strictly using the theory of Riemann integration rather than geometric intuition.