EAN: 9783319580166

Bilder-Quelle: shopping24.de – Sport

This book on canonical duality theory provides a comprehensive review of its philosophical origin physics foundation and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering mathematics and the sciences. This volume places a particular emphasis on canonical duality theory's role in bridging the gap between non-convex analysis mechanics and global optimization.With 18 total chapters written by experts in their fields this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics bifurcation chaos in nonlinear science and the NP-hard problems in global optimization. Additionally readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis non-monotone variational inequalities integer programming topology optimization post-buckling of large deformed structures etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields.

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