We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological algebra to other parts of algebra. Most of the material presented in these four sections was not available when this text was first published. Naturally, the treatments in these five sections are somewhat cursory, the intention being to give the flavor of the homological methods rather than the details of the arguments and results.
《上海市初中数学星级训练（压轴题增强版中考）/数学星级题库丛书》采用题型分类难度分阶的形式，将所有试题由浅入深分别编入各节，并提供详尽的解析。所选试题几乎囊括上海市近5年各区一模、二模两题，是上海地区初中学生提高数学应试能力及辅助教师教学的读物。
本书根据上海中考考考生第二轮复习的进度，将2021年上海市中考数学二模、试题按照知识点及题目的难度做了详细的分类汇编，供学生在二轮复习进行专项训练使用。本书对模拟试题中较难的题目给出了完整的解答，尤其是小题目中的压轴题，本书给出了详细的解答，对于压轴题，本书通过丰富的配图，细致的讲解，使得考生比较容易看懂解析过程，便于考生使用。本书题目严格符合高考对考生的考查要求，确保不超纲。为广大师生节省了资料搜集和整理时间，更好地服务于广大师生的学习和教学。
《数学百草园》（大字版）是一本介绍各种有趣的数学知识的科普图书。它不同于相对枯燥的专业数学教材或教辅读物，而是充满了趣味性，对于增进少年儿童对于数学知识的了解、激发少年儿童对于学习数学的兴趣大有裨益。作者多以故事入手，或设置悬念，或铺陈有趣情节，先紧紧抓住读者的兴趣，然后再以平实易懂的语言对数学知识娓娓道来，可以让小读者们在不知不觉中放下对于数学的恐惧和防备，真切感受到数学的神奇、有趣。
This textbook aims at introducing the reader to number theory
The guiding principle in thiook is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accordingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discusy way of analogy cohomology with arbitrary coefficients. Although we have in mind an audience with prior exposure to algebraic or differential topology, for the most part a good knowledge of linear algebra, advanced calculus, and point-set topology should suffice. Some acquaintance with manifolds, simplicial plexes, singular homology and cohomology, and homotopy groups is helpful, but not really necessary. Within the text itself we have stated with care the more advanced results that are needed, so that a mathematically mature reader who accepts these background materials on faith should be able to read the entire book with the minimal prerequisites.
本书在讲述一阶大样本理论方面比较独特，讨论了大量的应用，包括密度估计、自助法和抽样方法论的渐进。本书的内容比较基础，适合统计专业的研究生和有两年微积分背景的应用领域。每章末有针对本章每节的问题和练习，每节末都附有小结。
