本书是数论领域的经典著作，适合对数论相关主题感兴趣的研究生和科研人员参考使用。Ergodic Theory of Numbers looks at the interaction between two fields of mathematics: number theory and ergodic theory. It is an introduction to the ergodic theory behind common number expansions, like decimal expansions, continued fractions, and many others. However, its aim does not stop there. For undergraduate students with sufficient background knowledge in real analysis and graduate students interested in the area, it is also an introduction to a “dynamical way of thinking”. The questions studied here are dynamical as well as number theoretical in nature, and the answers are obtained with the help of ergodic theory. Attention is focused on concepts like measure-preserving, ergodicity, natural extension, induced transformations, and entropy. These concepts are then applied to familiar expansions to obtain old and new results in an elegant and straightforward manner. What it means to be ergodic and the basic ideas behind ergodic theory will be explained along the way. The subjects covered varyfrom classical to recent, which makes this book appealing to researchers as well as students.