Thinking in Complexity: The Computational Dynamics of Matter, Mind, and MankindThe theory of nonlinear, complex systems has become by now a proven problem-solving approach in the natural sciences. And it is now also recognized that many if not most of our social, ecological, economical and political problems are essentially of a global, complex and nonlinear nature. And it is now further accepted than any holistic perspective of the human mind and brain can hardly be achieved by any other approach. In this wide-ranging, scholarly but very concise treatment, physicist, computer scientist and philosopher Klaus Mainzer discusses, in essentially nontechnical language, the common framework behind these ideas and challenges. Emphasis is given to the evolution of new structures in natural and cultural systems and we are lead to see clearly how the new integrative approach can give insights not available from traditional reductionistic methods. The fifth edition enlarges and revises almost all sections and supplements an entirely new chapter on the complexity of economic systems. From the reviews of the fourth edition: "This book is ambitious, incredibly erudite with 22 pages of references, and is indisputably clearly and beautifully written and illustrated. It is perfectly suited to a first course on the science of complexity. Even beginners and young graduate students will have something to learn from this book." (Andre Hautot, Physicalia, Vol. 57 (3), 2005) "All-in-all, this highly recommended book is a wonderful resource for intuitive basic ideas in the need of rigorous formulation." (Albert A. Mullin, Zentralblatt MATH, vol. 1046, 2004) "Readers of this book will enjoy Mainzer's exposition, which is based on a tight coupling between classical and historical concepts from Plato and Aristotle to modern, mathematical and physical developments . Every chapter begins with a section designed to orient the reader to the perspective of philosophical developments through the ages pertinent to the topic at hand. The author takes pains to point out essential differences between classical science and the science of complexity. Thinking in Complexity is an outstandingly readable book." (Anutosh Moitra, The Industrial Physicist, August/September, 2004) |
From inside the book
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... procedures are discussed under the constraints of nonlinearity and complexity in the natural and social sciences. In particular, the possibilities of predicting and modeling scientific and technological growth are extremely interesting ...
... procedure according to which either one or the other alternative would be resolved out. But Wigner's interpretation forces us to believe that the linear quantum superpositions would be resolved into separated parts only in those corners ...
... procedures and technical facilities for transplantation have been introduced which are based on new insights into the brain from complex dynamical systems. In this context a change of clinical treatment is unavoidable. Neural and ...
... procedure of the calculus. Conversely, the. Fig. 2.4a–c. Geometric representation of a dynamical system: (a) Instantaneous velocity as tangent vector, (b) velocity vector field, (c) phase portrait Fig. 2.5. Trajectory of a dynamical ...
... procedure of the calculus. Conversely, the integration procedure of the calculus allows one to determine trajectories from velocity vectors. The strategy of modeling a dynamical system begins with the choice of a state space in which ...
Contents
1 | |
10 | |
17 | |
Complex Systems and the Evolution of Life | 87 |
Complex Systems and the Evolution of MindBrain | 123 |
Complex Systems and the Evolution of Computability | 179 |
Complex Systems and the Evolution of Economies | 311 |
Complex Systems and the Evolution of Human Culture and Society 367 | 366 |
Epilogue on Future Science and Ethics | 417 |
References 441 | 440 |
Subject Index | 469 |
Name Index 479 | 478 |