Henrik Jeldtoft Jensen is Professor of Mathematical Physics at Imperial College London, and leads the Centre for Complexity Science. He is a prominent expert in complexity science and is involved in a variety of high-profile research projects including the application of co-evolutionary dynamics to the modelling of socio-economical sustainability, finance, cultural evolution, innovation, and cell diversity in cancer tumour growth, and has also worked with the Guildhall School of Music and Drama to identify differences in the neuronal response of audience and performers depending on the mode of performance. He has published two books on self-organized criticality and complex systems.

• Part I. Conceptual Foundation of Complexity Science: 1. The Science of Emergence; 2. Conceptual Framework of Emergence; 3. Specific Types of Emergent Behaviour; 4. The Value of Prototypical Models of Emergence; Part II. Mathematical Tools of Complexity Science: 5. Branching Processes; 6. Statistical Mechanics; 7. Synchronisation; 8. Network Theory; 9. Information Theory and Entropy; 10. Stochastic Dynamics and Equations for the Probabilities; 11. Agent-Based Modelling; 12. Intermittency; 13. Tipping Points, Transitions and Forecasting; 14. Concluding Comments and a Look to the Future.

'Henrik Jensen has produced a masterpiece - describing complexity science from the perspective of a universal theory applicable to many different subject areas, and based on fundamental theoretical principles. A clear virtue of the exposition is that many different topics relevant for complex systems are first treated in an easy-going introductory way, while concrete mathematical models and applications are then provided in the second part of the book. This is a well-thought-through textbook that presents complexity science as a whole, rather than as a collection of single topics.' Christian Beck, Queen Mary University of London