Advanced Calculus

Advanced Calculus: Theory and Practice, 2nd Edition, is a textbook designed for a one- or two-semester course in advanced calculus or analysis. The text supports students in developing proof-writing and problem-solving skills.

The volume covers foundational single-variable concepts, including the real numbers, sequences, continuity, derivatives, and indefinite and definite integrals. It extends to infinite series, Fourier series, and multivariable functions with implicit functions and optimization.

The presentation contextualizes mathematical developments from the era of Newton and Leibniz through the twentieth century. Enrichment material includes historical context, biographical notes on more than 60 mathematicians, and nearly 300 examples leading into key theorems.