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.
