华罗庚文集

《华罗庚文集》序言

Algebra and geometry

苏家驹之代数的五次方程式解法不能成立之理由

Geometries of matrices. I. Generalizations of von Staudt's theorem

Geometries of matrices. Ii. Arithmetical construction

Orthogonal classification of Hermitian matrices

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

Geometries of matrices. IIl. Fundamental theorems in the geometries of symmetric matrices

Some “Anzahl” theorems for groups of prime power orders

On the automorphisms of the symplectic group over any field

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

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

On the automorphisms of a sfield

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

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

Some properties of a sfield

On the generators of the symplectic modular group

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

On the multiplicative group of a field

环之准同构及对射影几何的一应用

A theorem on matrices over a sfield and its applications

Supplement to the paper of Dieudonné on the automorphisms of classical groups

Automorphisms of the unimodular group

Automorphisms of the projective unimodular group

《华罗庚文集》已出版书目

《华罗庚文集：代数卷2》汇集了华罗庚先生1930—1952年关于代数和矩阵几何的代表性论文22篇，以及万哲先关于华罗庚在代数和几何领域成就的一篇介绍文章。

　　华罗庚的论文内容深刻，技巧性很强，要求的预备知识并不多。《华罗庚文集：代数卷2》适合数学专业的研究生和研究人员阅读，大学数学系的高年级学生也能读懂其中大部分内容。

2010年是著名数学家华罗庚先生诞辰100周年。值此机会，我们编辑出版《华罗庚文集》，作为对他的美好纪念。 华罗庚先生是他那个时代的国际领袖数学家之一，也是中国现代数学的主要奠基人和领导者。无论是在和平建设时期，还是在政治动荡甚至是战争年代，他都抱定了为国家和人民服务的宗旨，为中国数学的发展倾注了毕生精力，受到了中国人民的广泛尊敬。《华罗庚文集：代数卷2》为我们留下了丰富的精神遗产，包括大量的学术著作和研究论文。