本书是为祝贺柯召老师90大寿所整理而成的。全书共分传记及祝贺文章及学术论文两个篇章，对柯老的生平及学术贡献作了介绍。其中，收入的文章有的已成为数学中的经典结果，具有长久的价值。该书可供从事相关工作的人员作为参考用书使用。

第一编 传记及祝贺文章

柯召传

祝贺柯老从事科研教学五十五周年——在第四届全国数论学术会议开幕式上的讲话

On Some Problems and Results in Elementary Number Theory

Old and New Proofs of the Erdos Ko Rado Theorem

第二编 学术论文

Decompositions into Four Cubes

On a Waring's Problem with Squares of Linear Forms

On the Representation of a Quadratic Form as a Sum of Squares of Linear Forms

Note on the Lattice Points in a Parallelepiped

Note on the Euclidean Algorithm

Note on the Representation of a Quadratic Form as a Sum of Squares of Linear Forms

Determination of the Class Number of Positive Quadratic Forms in Nine Variables with Determinant Unity

Some Results on Definite Quadratic Forms

On the Decomposition of Quadratic Forms in Six Variables

On the Positive Definite Quadratic Forms with Determinant Unity

On Definite Quadratic Forms, which are not the Sum of Two Definite or Semi-Definite Forms

Note on a Theorem on Matrices

A Further Generalization of the Hamilton-Cayley Theorem

On Semi-Automorphisms in Matrix Algebra

Note on the Diophantine Equation xxyy＝zz

On the Meyer's Theorem and the Decomposition of Quadratic Forms

On the Decomposition of Quadratic Forms in Seven Variables

On the Decomposition of Quadratic Forms in Eight Variables

Table of Primitive Positive Quaternary Quadratic Forms with Determinants ≤25

Some New Proofs of Smith's Theorem

On the Decomposition of Quadratic Forms in Eight Variables

On the Equivalence of Positive Definite Quadratic and Hermitian Forms

关于议程ax＋by＋cz＝n

表三元二次型为平方和的问题

一个关于二次型的问题

关于丢番都方程xyyx＝zz，xyyz＝zx和xxyz＝Zy

关于行列式等于1的12元和13元恒正二次型

关于商高数

关于Jesmanowicz的猜测

关于行列式等于1的14元恒正二次型

关于行列式等于1的15元恒正二次型

关于丢番都方程(a2－b2)x＋(2ab)y＝(a2＋b2)z

关于行列式为1的恒正二次型

关于xyz＝x＋y＋z

关于方程x3＋y3＋z3＝xyz

Intersection Theorems for Systems of Finite Sets

关于方程x2＝yn＋1，xy≠0

关于连续数的一个问题

关于方程■(x－j)n＝■(x＋j)n

关于Catalan问题

附录：柯召先生主要著作目录

后记