Geometrical Dynamics of Complex Systems

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The book offers a rigorous geometrical and topological framework for understanding high-dimensional nonlinear complex systems across various fields, including engineering and physics. It emphasizes the predictive power of this approach over softer complexity philosophies, arguing that the essence of science and technology lies in prediction and control. By modeling real-life nonlinear systems mathematically, the text aims to demonstrate that these complex processes can be analyzed and controlled as if they were linear, despite their inherent unpredictability.