The book provides an introduction to both theoretical and experimental results on chirality and wobbling in atomic nuclei. It details the achievements in the study of chirality over the past 25 years since the first prediction of this mode of collective motion in nuclei, as well as those on the wobbling motion. It offers a detailed review of the most relevant theoretical developments on both types of collective motion and the experimental results supporting or not the theoretical predictions. Different views on wobbling are included and confronted with the contradicting experimental results on low-spin wobbling. It is intended to foster further the research on these types of exotic collective motion in nuclei. Which and how these exotic collective motions occur in nuclei, which are their predicted fingerprints and how they are supported by the experimental facts will be presented. Polemics, debates and ambiguities of the interpretation of the experimental results will be exposed. The reader will have the opportunity to have together different views on the two phenomena which animated the scientific activity in low-energy nuclear physics in many laboratories around the world. The book will be a valuable reference for PhD students, post-docs and researchers in addition to universities and research institutions. Key Features: The first book on chirality and wobbling in nuclei. Contains a comprehensive review of topics related to chirality and wobbling, including both theoretical and experimental aspects. Contains chapters from leading researchers in the field.