The book describes (necessarily by inference, as there is no written record beyond the quipu the themselves) the uses of the quipu, for instance in accounting and taxation. Although 400 quipu are known to survive, the book's study is based on a selection of 191 of them, described in a companion databook. It analyzes the mathematical principles behind the use of the quipu, including a
decimal form of
positional notation, the concept of
zero,
rational numbers, and
arithmetic, and the way the spatial relations between the strings of a quipu recorded
hierarchical and
categorical information. It argues that beyond its use in recording numbers, the quipu acted as a method for planning for future events, and as a writing system for the Inca, and that it provides a tangible representation of "insistence", the thematic concerns in Inca culture for symmetry and spatial and hierarchical connections. The initial chapters of the book provide an introduction to Inca society and the physical organization of a quipu (involving the colors, size, direction, and hierarchy of its strings), and discussions of repeated themes in Inca society and of the place of the quipu and its makers in that society. Later chapters discuss the mathematical structure of the quipu and of the information it stores, with reference to similarly-structured data in modern society and exercises that ask students to construct quipus for representing modern data. ==Audience and reception==