- 作 者：华罗庚著
- 出 版 社：北京：科学出版社
- 出版年份：2011
- ISBN：7030300140
- 标注页数：377 页
- PDF页数：385 页
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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