This handbook provides an up-to-date survey of current research topics and applications of time series analysis methods written by leading experts in their fields. It covers recent developments in linear and non-linear, as well as stochastic and deterministic analysis methods and their cross-fertilization between Mathematics, Physics, and Engineering. Each chapter comprises both methodological aspects and applications to time series from real world complex systems, such as the human brain or the climate. Covering an exceptionally broad spectrum of topics, beginners, experts as well as practitioners in time series analysis who seek to understand the latest developments will profit by this handbook. Foto von links nach rechts: M. Winterhalder, J. Timmer, B. Schelter The Editors are working in the research group "Data Analysis and Modeling of Dynamic Processes in the Life Sciences" at the Center for Data Analysis and Modeling of the University of Freiburg, Germany. In interdisciplinary projects, they develop, investigate and apply mathematical methods to elucidate properties of complex systems in the field of neurology based on multivariate time series.