Imagine a grammar book that opens by explaining noun, verb, and particle.
As an introduction to the science: these terms may be prerequisites for entering many questions of grammar.
As an introduction to the book: the author has placed them at the beginning to prepare readers for this particular presentation.
A preface describing only the chapter arrangement clearly belongs to the book, but need not be a prerequisite of grammar as a science. The two categories can overlap.
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Introduction: Structure, Three Disciplines and Kinds of Preface
Imagine a grammar book that opens by explaining noun, verb, and particle.
As an introduction to the science: these terms may be prerequisites for entering many questions of grammar.
As an introduction to the book: the author has placed them at the beginning to prepare readers for this particular presentation.
A preface describing only the chapter arrangement clearly belongs to the book, but need not be a prerequisite of grammar as a science. The two categories can overlap.