目录 《华罗庚文集》序言 Algebra and geometry 1 苏家驹之代数的五次方程式解法不能成立之理由 5 Geometries of matricesIGeneralizations of von Staudt's theorem 8 Geometries of matricesI1Arithmetical construction 54 Orthogonal classi cation of Hermitian matrices 64 Geometries of matricesIIStudy of involutions in the geometry of symmetric matrices 82 Geometries of matricesIIIFundamental theorems in the geometries of symmetric matrices 122 Some \Anzahl" theorems for groups of prime power orders 152 On the automorphisms of the symplectic group over any eld 166 On the existence of solutions of certatin equations in a nite eld 189 Characters over certain types of rings with applications to the theory of equations in a nite eld 195 On the automorphisms of a s eld 201 On the number of solutions of some trinomial equations in a nite eld 205 On the nature of the solutions of certain equations in a nite eld 210 Some properties of a s eld 218 On the generators of the symplectic modular group 223 Geometry of symmetric matrices over any eld with characteristic other than two 236 On the multiplicative group of a eld 262 环之准同构及对射影几何的一应用 267 A theorem on matrices over a s eld and its applications.273 Supplement to the paper of Dieudonn?e on the automorphisms of classical groups 320 Automorphisms of the unimodular group 351 Automorphisms of the projective unimodular group 370 《华罗庚文集》已出版书目 377