Covers the basic geometry of two and three-dimensional spaces. This work includes experiments to determine the true shape of the universe and contains illustrated examples and exercises that teach mind-expanding ideas. It explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Studies the results on set-valued dynamical systems (dynamical systems without uniqueness) and some adjoining problems. This book also studies the global attractors of control systems (as application of our general results concerning the compact global attractors of general set-valued dynamical systems).
Provides a comprehensive overview of the authors' contributions to nonlinear set-valued analysis by topological methods. This book includes coverage of fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, and the Pareto optimum in optimization.
Presents topical research in the study of the classification and application of fractals, including the fractal analysis of oil crude market volatility and supply chain volatility in the telecom industry; the fractal analysis of electromagnetic emissions in earthquake detection; fractal-based models of cancer in systems biology; and, more.