Visualizing mathematical ideas usually reduces the complexity of topics and therefore have educational value. This plays essential rule in courses such as calculus, which are both fundamental and scheduled for first-year students. Sometimes, a suitable graph or graphic contains the whole idea of a proof. These are known as “proofs without words.”

After his several books gathering *Proofs without Words*, the author has now written a book on calculus, combining similar ideas with some exact arguments. The book under review is an interesting and pretty collection of proofs of material from the first-year course, all based on visualizing ideas. They include several theorems about limits and differentiation (Part I), integration (Part II), infinite series (Part III), and several additional topics (Part IV). The final part of the book is an appendix (Part V) covering some pre-calculus topics. Finally, the author gives solutions to the exercises, which are at the end of many of the chapters.

This is not a standard textbook, but it is a very useful complement for both students and instructors in a first-year calculus course.

Mehdi Hassani is a faculty member at the Department of Mathematics, Zanjan University, Iran. His fields of interest are Elementary, Analytic and Probabilistic Number Theory.