In these Proceedings of The Second International Conference On Smarandache Type Notions In Mathematics And Quantum Physics (December 21-24, 2000, University ofCraiova, Romania; organizers: V. Seleacu and M. L Perez) are collected articles and notes: in MATHEMATICS: related to Smarandache Anti-geometry, Function, f-Inferior Part Function, k-k Additive Relationships, 2-2 Subtractive Relationships, Sequences, Coprime Functions, Double Factorial Function, Magic Squares, Problems, Conjectures, Equations, Partitions, Paradoxes, Series, Algebraic Structures, Pseodo-Smarandache Function, Erdos-Smarandache Moments Numbers;