I first read Flatland as an undergraduate mathematics major. It was an epiphany. With spectacularly clear words and explanations Abbott related, in a first person narrative, the thoughts and experiences of A. Square as he explained his own two-dimensional world and explored others of varying dimension. After reading it, I looked at the world in a new way. It was one of the first books I ever wrote in; I was so excited with thought that I underlined, punctuated, and jotted ideas down in the margins -- breaking a lifelong habit of respecting books by treating them like sacred objects. I was grateful to Abbott for his ideas and his lucidity. Breaching biology and time, he had awakened in me a new appreciation of the aesthetics of science and mathematics. Now, here comes Ian Stewart to make this wonderful book even more interesting!
This book is a pleasure in so many ways. The quality of the paper and typesetting are exceptional, the layout is clear, the annotator is a talented writer, and the volume is generously augmented with photo reproductions and line drawings. Stewart's text is just wonderful. While the preface begins with a question: "What is Flatland and why should it be annotated?" and continues with Professor Stewart's reasoning and motivation in tackling this subject, the introduction focuses on Flatland's author, Edwin Abbott Abbott. Stewart is a fine writer and I learned a lot in both sections. But that is just an appetizer. Stewart states in the preface that his intellectual pursuit of all things Flatland led him down many paths and, taking his cue from long-time interesting thinker Martin Gardner, he lets the information flow. Annotations vary in length, from one paragraph to several pages, and cover a magnificent range of subjects, each made entertaining, informative and relevant. One would expect, and does find, mathematics explanations, but Stewart also draws intellectual connections between Abbott and his contemporaries, explains historical references and contextualizes Abbott's contributions to scholarly thought.
I learned something on every page, and enjoyed the reading of it. Stewart has produced a volume that can be compared favorably to Gardner's Annotated Alice in Wonderland, for which he expresses admiration. While this scintillating annotated version of Abbott's classic text should prove delightful for those interested in mathematics, physics, or the history of science, it will be irresistibly fascinating for any fan of Flatland.
Well done. Highly recommended.