Phase Transitions by Ricard Sole provides a mathematical account of many current areas of research in the field of of complexity. The book demonstrates the wide range of topics that involve complex systems. I feel that the book would be a good reference for further study, as it contains many references.
I was first introduced to the writings of Sole when I found his book entitled Signs of Life. Signs of Life can be considered as a prelude to Phase Transitions. I believe that it was by accident that I found Sole’s book in the library catalog, or perhaps it was after I had read Emergence The Connected Lives of Ants, Brains, Cities, and Software by Steven Johnson. I feel like Johnson mimicked the outline and ideas of Sole, but that is only my opinion. Sole’s book provides amazing details on the prevalence of complexity all around us. The book provides a simple and easy to read introduction to the concepts of complexity and serves as a starting point for Kauffman’s books Investigations and Origins of Order (both Sole and Kauffman work/worked at the Santa Fe Institute), which I discuss in other posts. (ISBN: 9780691150758)