This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. This second edition includes the growth in the field of nonlinear dynamics and chaos over the last few decades.

Author provides a thorough and modern introduction to the concepts of Hamiltonian and dissipative dynamical systems theory combining in a comprehensive way classical and quantum mechanical description.

The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which make it ideal for an introductory course for students as well as for researchers starting to work in the field.