华罗庚文集 代数卷 2PDF电子书下载

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 matrices.Ⅰ.Generalizations of von Staudt’s theorem 8

Geometries of matrices.Ⅰ1.Arithmetical construction 54

Orthogonal classification of Hermitian matrices 64

Geometries of matrices.Ⅱ.Study of involutions in the geometry of symmetric matrices 82

Geometries of matrices.Ⅲ.Fundamental 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 field 166

On the existence of solutions of certatin equations in a finite field 189

Characters over certain types of rings with applications to the theory of equations in a finite field 195

On the automorphisms of a sfield 201

On the number of solutions of some trinomial equations in a finite field 205

On the nature of the solutions of certain equations in a finite field 210

Some properties of a sfield 218

On the generators of the symplectic modular group 223

Geometry of symmetric matrices over any field with characteristic other than two 236

On the multiplicative group of a field 262

环之准同构及对射影几何的一应用 267

A theorem on matrices over a sfield and its applications 273

Supplement to the paper of Dieudonne 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