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This book provides a broad understanding of nonperturbative aspects of quantum chromodynamics (QCD) from the viewpoints of mathematical, lattice-QCD and hadron physics. It presents current, important progress in the following areas: the quark confinement mechanism, dynamical chiral-symmetry breaking, topologies in QCD (instantons, monopoles, vortices), SUSY QCD, nonperturbative methods (1/Nc, ladder QCD, AdS/CFT), QCD phase transition at finite temperature and density, quark-gluon plasma, and so on. For recent topics, the book also includes the experimental discovery of the penta-quark particle, the newest information on the QGP creation experiments, and theoretical progress on the baryonic three-quark potential and the high-density QCD.