Dajani (mathematics, U. of Utrecht) and Kraaikamp (Delft U. of Technology) focus on the interaction between two fields of mathematics number theory and ergodic theory. They discuss the basic ideas behind ergodic theory, and explore the ergodic theory behind common number expansion, like decimal expansions and continued fractions. For undergraduate students with sufficient background knowledge in real analysis, and graduate students and researchers with an interest in the topic. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Introduction to ergodic theory of numbers for graduate students and researchers.
This book is an introduction to the ergodic theory behind common number expansions, for instance decimal expansions, continued fractions and many others. The questions studied are dynamical as well as number theoretic in nature, and the answers are obtained with the help of ergodic theory. What it means to be ergodic and the basic ideas behind ergodic theory are explained along the way. The book is aimed at introducing students with sufficient background knowledge in real analysis to a 'dynamical way of thinking'. The subjects covered vary from the classical to recent research which should increase the appeal of this book to researchers working in the field.
