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
Results 1-5 of 27
... velocity of which is accelerated step by step. At the first level a homogeneous state of equilibrium is shown (“fixed point”). At a higher level of velocity the bifurcation of two or more vortices can be observed corresponding to ...
... velocity of a body and to visualize it as the tangent vector of the body's trajectory. The velocity vector field has become one of the basic concepts in dynamical systems theory. The cosmic theories of Newton and Einstein have been ...
... . Therefore, said Aristotle, the thrower imparts a movement to the continuous medium of the stone's surroundings, and this propels the stone farther. For the velocity v of a pulling 24 2 Complex Systems and the Evolution of Matter.
... velocity v of a pulling or pushing motion, Aristotle asserted the proportionality v ∼ K/p with the applied force K. Of course, these are not mathematical equations relating measured quantities, but instead proportionalities of ...
... velocity and position of the planets, and neglected the complex diversity of other constraints (e.g., density, mass, friction of the celestial spheres). From a modern point of view, even the presocratic philosophers suggested ...
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 |