Advanced Calculus of a Single Variable

Advanced Calculus of a Single Variable is an advanced undergraduate textbook that delivers a rigorous treatment of concepts and theorems introduced informally in introductory calculus. Based on a one-semester course taught at San Diego State University, the book deepens theoretical understanding of core single-variable mathematics.

The text focuses on fundamental subjects including limits, continuity, derivatives, and the Riemann integral. It emphasizes epsilon-delta definitions and highlights the distinction between pointwise and uniform continuity.

Requiring only elementary calculus background, the volume provides preparation for students and professionals across mathematics-related fields. The material aims to prepare readers for subsequent advanced coursework in real and complex analysis.