This book shows how to appreciate a nonlinear world in which measures of space-time conflict. Starting with an analysis of chaos and randomness, it covers renormalization group theory, phenomena modeling, and how physicists can approach the study of biology.

The most important characteristic of the world filled with nonlinearity is the existence of scale interference: disparate spacetime scales interfere with each other. Thus, the effects of unknowable scales invade the world that we can observe directly. This leads to various peculiar phenomena such as chaos, critical phenomena, and complex biological phenomena, among others. Conceptual analysis and phenomenology are the keys to describe and understand phenomena that are subject to scale interference, because precise description of unfamiliar phenomena requires precise concepts and their phenomenological description. The book starts with an illustration of conceptual analysis in terms of chaos and randomness, and goes on to explain renormalization group philosophy as an approach to phenomenology. Then, abduction is outlined as a way to express what we have understood about the world. The book concludes with discussions on how we can approach genuinely complex phenomena, including biological phenomena. The main target of this volume is young people who have just started to appreciate the world seriously. The author also wishes the book to be helpful to those who have been observing the world, but who wish to appreciate it afresh from a different angle.

Conceptual analysis and Phenomenology are illustrated with chaos and phase transitions Contains an explanation of renormalization group theory for ODE and PDE by the author of the approach Provides a critical analysis of complexity to dispel misunderstandings on this topic

Autorentext

Professor Oono received his Dr.Eng.. in applied chemistry from Kyushu University in Japan in 1976. After serving as an assistant professor in the Research Institute of Industrial Science at Kyushu University, he joined the physics faculty at the University of Illinois in 1981.

Inhalt
Looking at the Nonlinear World.- Conceptual Analysis.- Phenomenology.- Modeling.- Toward Complexity.