Almost everything that is interesting and important for society is complex; here, examples scattered across the sciences are presented in order to illustrate the cross-disciplinary richness of state-of-the-art complex systems research: fracture avalanches and rain showers that mimic earthquakes; highly organized graphs that account for processes in neural networks, metabolic networks, food webs, or language; models for DNA dynamics; or statistical methods to test complexity in the form of structure on many different scales. In this context, mathematics is put to work to model the real system, and the models are kept at a minimum level so as not to interfere with understanding the essentials of the real system.
The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.
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"The intended audience includes postdoctoral students, professors, and professionals in the field of mathematical research. ... Each article has a brief introduction, with graphs, algorithms, and tables in the methods section, and ends with results/discussion. ... The content and quality of this book is excellent. This is a valuable resource for researchers in the field of mathematics." (Bhavesh Barad, Doody's Book Reviews, March, 2015)