Construction of mirror manifolds (Part I) ; Geometry and quantum field theory: A brief introduction ; Constructing mirror manifolds ; Dual cones and mirror symmetry for generalized Calabi-Yau manifolds ; Mirror symmetry constructions: A review ; On the elliptic genus and mirror symmetry ; Orbifold Euler characteristic ; The structure of moduli space (Part II) ; Phases of = 2 theories in two dimensions ; Calabi-Yau moduli space, mirror manifolds, and spacetime topology change in string theory ; Picard-Fuchs equations, special geometry, and target space duality ; Resolution of orbifold singularities in string theory ; The role of _2 in Calabi-Yau classification-A preliminary survey ; Thickening Calabi-Yau moduli spaces ; The deformation space of Calabi-Yau folds with canonical singularities can be obstructed ; Introduction to duality ; Noncompact Calabi-Yau spaces and other nontrivial backgrounds for four-dimensional superstrings ; Scaling behavior on the space of Calabi-Yau manifolds ; Enumerative issues and mirror symmetry (Part III) ; Making enumerative predictions by means of mirror symmetry ; Mirror symmetry for two parameter models. I ; Mirror symmetry, mirror map, and applications to complete intersection Calabi-Yau spaces ; Gromov-Witten classes, quantum cohomology, and enumerative geometry ; Holomorphic anomalies in topological field theories ; Local behavior of Hodge structures at infinity ; Mirror symmetry in higher and lower dimensions (Part IV) ; String theory on K3 surfaces ; K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds ; Mirror manifolds in higher dimension ; Supermanifolds, rigid manifolds, and mirror symmetry