Б. П. 吉米多维奇的《数学分析习题集》是一部久负盛名的经典著作，自20世纪50年代引进以来，对我国半个多世纪的微积分学乃至高等数学的教与学产生了重大影响。本书译自最新的2010年俄文版，是对已在我国流行多年的1958年版中译本（李荣涷译）的全面修订和增补。与该版相比，本书除了对少量习题的修订与更替，还增加了许多新题。后继译者继承了原有译文简洁凝练的风格，对全部译文进行了适当改写和补译，以适应学科术语标准化和语言习惯变化的需要。
全书包括约5000道习题，几乎涵盖了数学分析的各个重要分支：分析引论（主要是函数与极限理论）、一元函数微分学、不定积分与定积分、级数、多元函数微分学、带参数的积分、重积分与曲线积分、曲面积分。难度较大的一些习题带有提示，书后附有计算题和简答题的答案。
本书可作为各类读者学习微积分或高等数学课程的重要参考书。

《多层次模型》首先对社会与健康科学研究中的多层次模型统计方法做了一些相对非技术性的介绍。然后介绍了二层模型及其拟合方法，包括数据准备、模型估计、模型解释、假设检验、模型假设条件检验以及中心化。最后是对多层次模型的扩展应用，包括对非连续型因变量和非正态分布型因变量的处理，以及使用多层次方法分析纵向数据和构建三层模型。这些内容都讨论了其与多元回归的相似性，并且对例子中的数据和分析进行扩展运用。

《概率论教程:英文版(第3版)》是一本享誉世界的经典概率论教材，令众多读者受益无穷。自出版以来。已被世界75％以上的大学的数万名学生使用。《概率论教程:英文版(第3版)》内容丰富，逻辑清晰，叙述严谨。不仅可以拓展读者的视野。而且还将为其后续的学习和研究打下坚实基础。此外，《概率论教程:英文版(第3版)》的习题较多，都经过细心的遴选，从易到难，便于读者巩固练习。本版补充了有关测度和积分方面的内容，并增加了一些习题。

本书介绍数学中的三大悖论（毕达哥拉斯悖论、贝克莱悖论、罗素悖论）与三次数学危机，以时间为序，以环环相扣的数学家轶事为纲，带大家了解数学发展史，理解悖论的巨大作用，以及认识欧几里得几何、无理数、微积分、集合论等的来龙去脉。书中穿插大量数学家的逸事，融知识性与趣味性于一体。本书这一版专门添加附录介绍了哥德尔证明。

Machine learning methods extract value from vast data sets quickly and with modest resources. They are established tools in a wide range of industrial applications, including search engines, DNA sequencing, stock market analysis, and robot locomotion, and their use is spreading rapidly. People who know the methods have their choice of rewarding jobs. This hands-on text opens these opportunities to computer science students with modest mathematical backgrounds. It is designed for final-year undergraduates and master's students with limited background in linear algebra and calculus. Comprehensive and coherent, it develops everything from basic reasoning to advanced techniques within the framework of graphical models. Students learn more than a menu of techniques, they develop analytical and problem-solving skills that equip them for the real world. Numerous examples and exercises, both computer based and theoretical, are included in every chapter. Resources for students and instructors, including a MATLAB toolbox, are available online.

An Introduction to Statistical Learning provides an accessible overview of the field of statistical learning, an essential toolset for making sense of the vast and complex data sets that have emerged in fields ranging from biology to finance to marketing to astrophysics in the past twenty years. This book presents some of the most important modeling and prediction techniques, along with relevant applications. Topics include linear regression, classification, resampling methods, shrinkage approaches, tree-based methods, support vector machines, clustering, and more. Color graphics and real-world examples are used to illustrate the methods presented. Since the goal of this textbook is to facilitate the use of these statistical learning techniques by practitioners in science, industry, and other fields, each chapter contains a tutorial on implementing the analyses and methods presented in R, an extremely popular open source statistical software platform. Two of the authors co-wrote The Elements of Statistical Learning (Hastie, Tibshirani and Friedman, 2nd edition 2009), a popular reference book for statistics and machine learning researchers. An Introduction to Statistical Learning covers many of the same topics, but at a level accessible to a much broader audience. This book is targeted at statisticians and non-statisticians alike who wish to use cutting-edge statistical learning techniques to analyze their data. The text assumes only a previous course in linear regression and no knowledge of matrix algebra.

This extraordinary volume contains a large part of the mathematical correspondence between A. Grothendieck and J.-P. Serre. It forms a vivid introduction to the study of algebraic geometry during the years 1955-1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. In the book, the reader can follow the creation of some of the most important notions of modern mathematics, such assheaf cohomology, schemes, Riemann-Roch type theorems, algebraic fundamental group, motives, etc. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.). Also included are letters written between 1984 and 1987. Theletters are supplemented by J-P.Serre's notes, which give explanations, corrections, and references to further results. The book is a unique bilingual (French and English) volume. The original French text is supplemented here by the English translation, with French text printed on the left-hand pages and the corresponding English text printed on the right. The book also includes several facsimiles of original letters. The original French volume was edited by Pierre Colmez and J-P. Serre. TheEnglish translation for this volume was translated by Catriona Maclean and edited by J-P. Serre and Leila Schneps. The book should be useful to specialists in algebraic geometry, mathematical historians, and to all mathematicians who want to experience the unfolding of great mathematics.

《陈省身文选:传记·通俗演讲及其它》收集了世界著名数学大师陈省身教授的文章40多篇，内容包括关于他的生平、事迹和学术生涯的传记，在国际数学家大会上的三次报告，以及其他的演讲等。这些文章反映了陈省身教授的成才之路、学术成就、科学和教育思想，以及炎黄子孙强烈的爱国主义精神。著名数学家吴文俊教授为《陈省身文选:传记·通俗演讲及其它》作序。
《陈省身文选:传记·通俗演讲及其它》对于我国的广大科学、教育工作者，特别是数学工作者，广大的青年学生，具有深刻的启迪和重要的参考价值。

目录：
第一部分
- 从杨辉三角谈起
- 从祖冲之的圆周率谈起
- 从孙子的“神奇妙算”谈起
- 数学归纳法
- 三分角问题
- 有限与无穷，离散与连续
- 《全国中学数学竞赛题解》前言
- 天才与锻炼
第二部分
- 数学是我国人民所擅长的学科
- 谈谈同学们学科学的几个问题
- 谈革命干部学习科学知识问题
- 和同学们谈谈学习数学
- 我从事科学研究工作的体会
- 聪明在于学习，天才由于积累
- 学·思·锲而不舍
- 取法务上，仅得乎中
- 和青年谈学习
- 学与识
- 学习和研究数学的一些体会
第三部分
- 大哉数学之为用
- 数学的用场（无则）
- 关于在等高线图赏计算矿藏量与坡地面积的问题
- 统筹方法评话及补充
- 优选法评话及补充
- 在中华人民共和国普及数学方法的若干个人体会
- 附录 应用数学

数学是精密的,严格的,准确的,靠得住的。

数学是精密的,严格的,准确的,靠得住的？

数学无处不在，影响着我们的生活。本书汇集了数十个来自生活的数学趣题，涉及各个数学领域。解答这些趣题不需要高深的数学知识，答案简单明了，但要得出答案却绝非易事，其中不少趣题甚至出自很有名的数学家之手，也有些来自世界各地的数学奥林匹克竞赛题库。全书各章的问题按照由简到难的顺序展开。各章末尾给出了每个问题的背景，来源以及其详细的解答。
本书语言诙谐，解题方法独到，涉及较多数学知识，适合中学生及以上文化程度的数学爱好者阅读，将帮助你颠覆直觉，激发想象力，领悟数学之美。

This volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53)

“通俗数学名著译丛”通过翻译、引进国外优秀数学科普读物，力图推动国内的数学普及与传播工作，为我国数学赶超实际先进水平贡献力量。《数学游戏与欣赏》内容丰富多样，精彩纷呈，不仅包括算术游戏、几何游戏、算术趣题、几何趣谈、多面体、幻方等篇章，而且包括棋盘上的游戏、魔方、地图染色问题、一笔画线问题、密码编制与密码破译、单行线问题、三个古典的几何问题、心算神童等内容。本书以数学话题或俗说的游戏向人们提供了消遣与享受，这些题材包含着基本的数学方法和概念。本书先后出版过十多个版本，但是该第12版版本基本上保留了原初的风貌，并对术语和问题进行了更新。本书适合广大数学师生和数学爱好者

本书是一本在大学中广泛使用的经典数学教科书。书中讲解了许多计算机科学中用到的数学知识和技巧，教你如何把一个实际问题一步步演化为数学模型，然后通过计算机解决它，特别着墨于算法分析方面，其主要内容涉及和式、整值函数、数论、二项式系数、特殊的数、生成函数、离散概率、渐近式等，都是编程所必备的知识。
书中不仅讲述了数学问题和技巧，而且教导解决问题的方法，解说深入浅出，妙趣横生。大师们诙谐、细腻的笔触，描绘着数学工作中的欢乐和忧伤，那些或平淡、或深刻、或严肃、或幽默的涂鸦，更让我们在轻松愉悦的心境下体会数学的美妙。
本书面向从事计算机科学、计算数学、计算技术诸方面工作的人员，以及高等院校相关专业的师生。

本书深入浅出地阐述了计算机科学中许多基本而重要的概念，包括布尔逻辑、有限自动机、编程语言、图灵机的普遍性、信息论、算法、并行计算、量子计算、神经网络、机器学习乃至自组织系统。
作者高屋建瓴式的概括，既不失深度，又妙趣横生，相信读者读后会有很多启发。
目录：
序言：石的奇迹
第一章　通用件
第二章　万能积木
第三章　程序设计
第四章　图灵机的普适性
第五章　算法和探索法
第六章　存储：信息与密码
第七章　速度：并行计算机
第八章 自学习与自适应的计算机
第九章　跨越工程设计
致谢

约翰·巴丁(John Bardeen．1908～1991)，一个现代物理学的巨人，20世纪物理史上杰出的英雄。他所从事的创造性工作，使他成为唯一一位两度获得诺贝尔物理学奖的科学家。
如果没有巴丁获得第一次诺贝尔奖的发明——晶体管，那么给我们带来台式电脑、巨型计算机和微电子的电子革命或许至今还只是科幻小说的素材；他的第二个伟大突破——多年以来一直让爱因斯坦、费恩曼和许多科学家感到困惑的超导理论，有望革新20世纪的科技，如高速磁浮
列车、超级原子对撞机以及其他非凡的科技奇迹。
巴丁取得了巨大的成就，跟爱因斯坦、费恩曼等一样对我们的文明产生了深远影响，但这个来自美国中西部、态度谦和的人却常常被媒体和公众所忽视，只因他与公众眼中的天才形象截然不同。他不喜欢上镜，没有古怪无礼或与众不同的性格。在这个古怪和出格的个性被看作是天才和创造力特征的时代，巴丁默默无闻。
本书通过对巴丁的科研工作以及生活经历的全面考察，以全新的视角，为我们展示了一个鲜活而充满魅力的旷世奇才的形象。

《数学,棘手但很迷人》收集了15篇数学小品，它们从生活、科技中的趣事出发，从中学数学的最基本知识开始，走近现代数学的前沿。逐步扩展读者的知识视野，提高数学的认识观点。每一篇小品，都是一个引人思考的数学故事。它像一朵带刺的花，虽然有点棘手，但很迷人。每一个有志于数学的读者，都可以从中品味？让前辈数学家的巧妙灵感，点亮自己思想中的智慧火花。

This book introduces one of the most powerful tools of modern economics to a wide audience: those who will later construct or consume game-theoretic models. Robert Gibbons addresses scholars in applied fields within economics who want a serious and thorough discussion of game theory but who may have found other works overly abstract. Gibbons emphasizes the economic applications of the theory at least as much as the pure theory itself; formal arguments about abstract games play a minor role. The applications illustrate the process of model building--of translating an informal description of a multi-person decision situation into a formal game-theoretic problem to be analyzed. Also, the variety of applications shows that similar issues arise in different areas of economics, and that the same game-theoretic tools can be applied in each setting. In order to emphasize the broad potential scope of the theory, conventional applications from industrial organization have been largely replaced by applications from labor, macro, and other applied fields in economics. The book covers four classes of games, and four corresponding notions of equilibrium: static games of complete information and Nash equilibrium, dynamic games of complete information and subgame-perfect Nash equilibrium, static games of incomplete information and Bayesian Nash equilibrium, and dynamic games of incomplete information and perfect Bayesian equilibrium.