Oene Bottema (1901 1992) may not be so well known abroad, but in his own country he is the great geometer . He graduated from the University of Groningen in 1924 and obtained his doctor s degree from Leiden University in 1927. He spent his early years as a high school teacher and administrator. He published extensively, and as his ability became known, he was made professor at the Technical University of Delft in 1941, and later rector of thatuniversity(1951 1959). Withhisencyclopedicknowledgeof19th-century geometry and his training in 20th-century rigor, he was able to make many...

This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics.
This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by...