This book is compiled according to the syllabus of Elementary Mathematics Research published by the Teacher Division of the State Education Commission on February1991KLOC-0/8. This book is divided into two parts. The first part is elementary algebra, including: number system, analytical formula, elementary function, equation, inequality, permutation and combination; The second part is elementary geometry, including: geometric proof, geometric quantity calculation, elementary geometric transformation, trajectory, geometric drawing, the nature of three-dimensional graphics, and basic knowledge of drawing. This book is rich in content, clear and thorough in narration and rigorous in logic.