《概率论与数理统计课程训练》练习题共分三类：基本题、提高题和复习题。基本题是针对每堂课的学习，是一般学生必须按时完成的题，目的是帮助学生掌握课堂教学内容；提高题难度较大，只有好地掌握课堂教学内容的学生才能解答；复习题是每章之后方便学生综合该章所学，进一步提升能力而精心编制的，希望有助于学生学习。

本书是自世界著名大学剑桥大学出版社引进的英文版数学教程，中文书名可译为《实分析演讲集》作者是芬纳.拉尔森教授，他任教于澳大利亚阿德莱德大学。剑桥大学出版社对本书的介绍是这样写的： 本书是为本科学生准备的对实分析的严谨的介绍，从全序域的定理和一些集合论知识开始。本书避免了任何关于实数的先入之见，只把它们当作全序域的元素来研究。包括所有的标准主题，以及对三角函数的适当处理，许多人认为这些内容都是理所应当的。书的最后几章提供了一个详细的、基于实例的对应用在实线上的微分方程的度量空间的介绍。 作者的阐述简明扼要，帮助学生抓住要点。本书包括200多个不同难度的练习题，其中许多题都涉及正文中的理论内容。该书非常适合本科二年级学生和需要掌握实分析基础知识的更高年级的学生阅读。

本书是遵照高等数学教学基本要求编写的，并与同济大学数学系主编的《高等数学》（第七版）配套的一本辅导书，也可作为非数学专业本科生上高等数学习题课或复习考研者或参加数学竞赛者的辅导教材或主要参考书。全书共十二章，每章均有重要结论及主要题型、解题思路。各章例题丰富、题型多样，每种题型都有相应的解题方法、详尽的分析和小结，这种结构形式有助于培养学生分析问题和解决问题的能力。

This Volume gives an account of the principal methods used in developing a theory of algebraic varieties in space of n dimensions. Applications of these methods are also given to some of the more important varieties which occur in projective geometry. It wasorigina113 our intention to include an account of the arithmetic theory of varieties， and of the foundations of birational geometry， but it has turned out to be more convenient to reserve these topics for a third volume. The theory of algebraic varieties developed in this volume is therefore mainly a theory of varieties in projective space.In writing this volume we have been faced with two problems： the difficult question of what must go in and what should be left out， and the problem of the degree of generality to be aimed at. As our objective has been to give an account of the modern algebraic methods available to geometers， we have not sought generality for its own sake. There is still enough to be done in the realm of classical geometry to give these methods all the scope that could be desired， and had it been possible to confine ourselves to the classical case of geometry over the field of complex numbers， we should have been content to do so. But in order to put the classical methods on a sound basis， using algebraic methods， it is necessary to consider geometry over more general fields than the field of complex numbers. However， if the ultimate object is to provide a sound algebraic basis for classical geometry， it is only necessary to consider fields without characteristic. Since geometry over any field without characteristic conforms to the general pattern of geometry over the field of complex numbers， we have developed the theory of algebraic varieties over any field without characteristic. Thus fields with finite characteristic are not used in this book.

《几何瑰宝：平面几何500名题暨1500条定理（上下）（第2版）》共有三角形、几何变换，三角形、圆，四边形、圆，多边形、圆，完全四边形，以及值，作图，轨迹，平面闭折线，圆的推广十个专题。对平面几何中的500余颗璀璨夺目的珍珠进行了系统地、全方位地介绍，其中也包括了近年来我国广大初等几何研究者的丰硕成果。《几何瑰宝：平面几何500名题暨1500条定理（上下）（第2版）》中的1500余条定理可以广阔地拓展读者的视野，极大地丰厚读者的几何知识，可以多途径地代领数学爱好者进行平面几何学的奇异旅游，欣赏平面几何中的精巧、深刻、迷人、有趣的历史名题及新成果，该书适合于广大数学爱好者及初、高中数学竞赛选手，初、高中数学教师和数学奥林匹克教练员使用，也可作为高等师范院校数学专业开设“竞赛数学”“中学几何研究”等课程的教学参考书。

Imagine two triangles in the three-dimensional space， such that an edge of the one pierces through the interior of the other， and vice versa. In such a geometrical situation， any continuous transformation that separates the two triangles would lead to an intersection of their boundaries at one moment， and so we call the two triangles and their boundaries linked （germ： verschlungene Dreiecke）.It is a known fact in graph theory [8] that any embedding of the complete graph with 6 vertices K6 into R3 has at least one pair of those linked triangles. Prof.Dr.U.Brehm （TU-Dresden）， who was my advisor during this diploma thesis， used the so called Gale diagrams to proof that any straight line embedding of the K6 contains either one or exactly three pairs of linked triangles. In Section 1.3.1 we will explain this technique， which leads to the proof of the corresponding Theorem 1.4， and we give visual examples for both cases in Figure 2.

The Purpose of this volume is to provide an account of the modern algebraic methods available for the investigation of the birational geometry of algebraic varieties. An account of these methods has already been published by Professor Andre Weil in his Foundations of Algebraic Geometry （New York， 1946）， and when Professor Zariski's Colloquium Lectures， delivered in 1947 to the American Mathematical Society， are published， another full account of this branch of geometry will be available. The excuse for a third work dealing with this subject is that the present volume is designed to appeal to a different class of reader. It is written to meet the needs of those geometers trained in the classical methods of algebraic geometry who are anxious to acquire the new and powerful tools provided by modern algebra， and who also want to see what they mean in terms of ideas familiar to them. Thus in this volume we are primarily concerned with methods， and not with the statement of original results or with a unified theory of varieties.Such a purpose in writing this volume has had several effects on the plan of the work. In the first place， we have confined our attention to varieties defined over a ground field without characteristic. This is partly because the geometrical significance of the algebraic methods and results is more easily comprehended by a classical geometer in this case; also， though others have shown that modern algebraic methods have enabled us to make great strides in the theory of algebraic varieties over a field of finite characteristic， many of the theorems which the classical geometer regards as fundamental have only been proved， as yet， in the restricted case.

This Volume is the first part of a work designed to provide a convenient account of the foundations and methods of modern algebraic geometry. Since nearly every topic of algebraic geometry has some claim for inclusion it has been necessary， in order to keep the size of this volume within reasonable limits， to confine ourselves strictly to general methods， and to stop short of any detailed development of geometrical properties.We have thought it de8irable to begin with a section devoted to pure algebra， since the necessary algebraic topics are not easily accessible in Engl18h texts. After a preliminary chapter on the basic notions of algebra， we develop the theory of matrices. Some novelty has been given to this work by the fact that the ground field is not assumed to be commutative. The more general results obtained are used in Chapters V and VI to analyse the concepts on which projective geometry is based. Chapters III and IV， which will be required in a later volume， are devoted to a study of algebraic equations.Book II is concerned with the definition and basic properties of projective space of n dimensions. Both the algebraic and the 8ynthetic definitions are discussed， and the theory of matrices over a non-commutative field is used to show that a space based on the propositions of incidence can be represented by coordinates， without the introduction of any assumption equivalent to Pappus' theorem. The necessity of considering a large number of special case8 has made Chapter VI rather long， but some space has been 8aved in the later parts of the chapter by merely mentioning the special cases and leaving the proofs to the reader， when they are sufficiently simple. It is hoped that this will not cause any difficulty. This Book concludes with a purely algebraic account of collineations and correlations. Certain elementary geometrical consequences are indicated， but a complete study of the geometrical problems involved would have taken us beyond our present objective.

常用不等式（第五版）

《黎友源数学创新文集》介绍黎友源教授研究创建的数学一元高次不等式解集定理（黎氏定理）等6个新定理、新公式，以及用数学方法考证“萍实是巨型灵芝”，破解“萍实”千古谜。本书详细地介绍了黎友源教授创建的每个新定理、新公式的内容、证明、应用，有的还详细地介绍了它被发现、被破解的思维全过程。本书所选主论文均为省级学术专刊正式发表的论文。本书可供中学数学教师、师范院校数学系学生、其他数学爱好者参考阅读。