The 10th Congress of Yugoslav Mathematicians was held in Beograd, January 21--24, 2001. The opening ceremony was completed with plenary lectures by two outstanding Yugoslav mathematicians, at this time working abroad, Stevo Todorčević from the University of Paris VII and Judita Cofman from the University of Erlangen. Scientific activities in eleven sections (Logic, Algebra, Geometry and Topology, Real and Complex Analysis, Functional Analysis and Operator Theory, Differential Equations, Combinatorics and Graph Theory, Probability and Statistics, Numerical Analysis and Optimization, Computer Sciences, Applied Mathematics) gave opportunities to the participants to present some of their recent original contributions in relevant fields. Four round tables were organized.