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This volume deals with first- and second-order complex equations of hyperbolic and mixed types. The authors investigate in detail general boundary value problems for linear and quasilinear complex equations and present some discontinuous boundary value problems for elliptic complex equations. Mixed complex equations are included in the quasilinear case, and the text considers both boundary value conditions in the general oblique derivative case and multiply-connected domains. The authors also use complex analytical methods to investigate various problems. In particular, they introduce hyperbolic numbers and hyperbolic complex functions to handle hyperbolic complex equations.