A Compact Capstone Course in Classical Calculus

A compact Capstone Course in classical calculus is a textbook that provides a comprehensive introduction to advanced topics in classical analysis that are often not covered in traditional calculus courses. Written by Peter R. Mercer, this textbook is aimed at students who have already acquired basic knowledge in analysis. The author presents the material in an engaging and understandable style, making complex concepts more accessible. Readers are guided through a variety of topics, including the binomial theorem, the harmonic series, Euler's constant, and geometric probability. With fifteen chapters, the book not only offers a theoretical foundation but also includes historical notes that deepen the understanding of the subject. It serves both as a supplement to a regular calculus course and as a valuable resource for self-study.