Preface to the USTC Alumni's Series Preface Ⅰ Preface Ⅱ Preface Ⅲ Preface Ⅳ Image Methods for Electrostatic Potentials The Inverse Problems of Some Mathematical Programming Problem Cyclic Cohomology for Discrete Groups and its Applications Recent Results for Some Higher Order Abstract Differential Equations Diracs Theorem and Its Generalization in Hamiltonian Graph Theory Curvature and Topology in Riemannian Geometry Hodge Theory and Its Applications to Geometry High Order Accurate Numerical Methods for Convection Dominated PDEs Inverse Boundary Value Problems for Elliptic Equations Entropy Functionals, Sobolev Inequalities and a-Noncollapsing Estimates Along the Ricci Flow k-Solutions of the Ricci Flow Recent Advances in Mathematical Modeling of Supply Chain Network Equilibrium Some Divergence-free Finite Elements for the Stationary Stokes Equations Gradient Recovery and A Posteriori Error Estimates