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Ecosystems, the human brain, ant colonies, and economic networks are all complex systems displaying collective behaviour, or emergence, beyond the sum of their parts. Complexity science is the systematic investigation of these emergent phenomena, and stretches across disciplines, from physics and mathematics, to biological and social sciences. This introductory textbook provides detailed coverage of this rapidly growing field, accommodating readers from a variety of backgrounds, and with varying levels of mathematical skill. Part I presents the underlying principles of complexity…
New concepts and methodologies are introduced alongside examples from a range of complex systems, to demonstrate the relevance and cross-disciplinary nature of complexity science
Two-part structure supports a range of teaching, including shorter, more conceptual courses, to extended courses offering full mathematical treatment of complexity science
A broad range of homework problems and extended projects offer readers the chance to reinforce their understanding of key topics, and develop a critical approach to describing and modelling real complex systems
Awards
Finalist, 2024 PROSE- Physical Sciences and Mathematics, Association of American Publishers
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Author
Henrik Jeldtoft Jensen,Imperial College London
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.