linguistic:paraphrasing, structural:summarization
An Introduction to Mathematics

Unlike Whitehead's previous two books on mathematics, An Introduction to Mathematics (1911) was not aimed exclusively at professional mathematicians but was intended for a larger audience. The book covered the nature of mathematics, its unity and internal structure, and its applicability to nature. Whitehead wrote in the opening chapter:

The object of the following Chapters is not to teach mathematics, but to enable students from the very beginning of their course to know what the science is about, and why it is necessarily the foundation of exact thought as applied to natural phenomena.

The book can be seen as an attempt to understand the growth in unity and interconnection of mathematics as a whole, as well as an examination of the mutual influence of mathematics and philosophy, language, and physics. Although the book is little-read, in some ways it prefigures certain points of Whitehead's later work in philosophy and metaphysics.