Thinking in complexity: The complex dynamics of matter, mind, and mankind - Hardcover

Mainzer, Klaus

Hardcover

ISBN 10: 3540575979 ISBN 13: 9783540575979

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1994

Synopsis

The theory of nonlinear complex systems has become a successful and widely used problem-solving approach in the natural sciences - from laser physics, quantum chaos and meteorology to molecular modeling in chemistry and computer simulations of cell growth in biology. In recent times it has been recognized that many of the social, ecological and political problems of mankind are also of a global, complex and nonlinear nature. And one of the most exciting topics of present scientific and public interest is the idea that even the human mind is governed largely by the nonlinear dynamics of complex systems. In this wide-ranging but concise treatment Prof. Mainzer discusses, in nontechnical language, the common framework behind these endeavours. Special emphasis is given to the evolution of new structures in natural and cultural systems and it is seen clearly how the new integrative approach of complexity theory can give new insights that were not available using traditional reductionistic methods.

About this title

Review

Chaos is cropping up everywhere these days. As it becomes ever more apparent that Newtonian mechanics is inadequate for modeling nonlinear systems, or systems that have too many degrees of freedom to handle easily, researchers in all fields are turning toward nonlinear dynamics as a refreshing alternative. This is a paradigm shift à la Kuhn, and Klaus Mainzer guides us through it with an astounding range of historical and scientific knowledge. From quantum physics to consciousness to economics, Mainzer shows us how thinking complexly can solve problems over which standard, linear thinking continually stumbles. Instead of simplifying, however, Mainzer revels in the complexity of complexity, so the reader should be prepared for advanced concepts in such varied fields as mathematics, physics, and economics. Difficult, but worthwhile reading.

From the Back Cover

The theory of nonlinear, complex systems has become by now a proven problem-solving approach in the natural sciences. It is 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, Klaus Mainzer (physicist, computer scientist and philosopher) 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 include an entirely new chapter on the complexity of economic systems.

From the reviews of the fourth edition:

"... this highly recommended book is a wonderful resource for intuitive basic ideas in the need of rigorous formulation." (Albert A. Mullin, Zentralblatt MATH)

"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." (André Hautot, Physicalia)

"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 ... . 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)

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1994
• Language: English
• ISBN 10: 3540575979
• ISBN 13: 9783540575979
• Binding: Hardcover
• Edition number: 2
• Number of pages: 329