本书通过大量丰富的实例，帮助读者从基本的常微分方程向更多高级概念(偏微分方程、傅里叶级数和边界值问题等)顺利过渡。作者轻松的语言风格使得书中的材料通俗易懂，尤其适合那些渴望了解更多和更深微积分知识的读者。
本书强调理论与实践相结合，介绍了大量偏微分方程在工程和物理学方面的应用，并且提供了相关数学证明和偏微分方程的原理。此外，本书的每一节后都配备了大量的习题，并提供了注释、图标或重要的公式等，突出了书中的重点与难点，方便读者自学。
本书提倡读者利用计算机辅助学习，旨在使读者更直观，更清晰地理解和掌握书中所讲述的题材。读者可以利用从作者网站上下载的Mathematica文件进行上机实践。
本书系统讲解偏微分方程及其定解问题的求解方法，通过大量实例讨论微分方程解的性质，特别强调傅里叶级数在求解边值问题中的作用。书中配有丰富的例题与习题，还采用“专题问题”较为系统地研究某个具体问题，补充和扩展了正文内容。
本书内容丰富、推导严密，包含大量物理背景，为理解和掌握偏微分方程提供了有效途径。本书可作为高等院校数学及相关专业学生的偏微分方程课程教材，同时也可作为工程技术人员、科技工作者的参考书。

《蚁群优化算法》围绕蚁群算法这一来自昆虫世界的优化思想，对其基本原理、核心步骤及其在最优化相关领域的实现作了详细介绍。主要内容包括蚁群算法基本原理、蚁群算法在TSP及其扩展问题求解中的应用、蚁群算法在VRP及其扩展问题求解中的应用、蚁群算法在最优树问题求解中的应用、蚁群算法在整数规划问题求解中的应用、一般连续优化问题的蚁群算法以及多目标蚁群算法等。书中还给出了一些主要算法的Delphi程序实现源代码，可供参考或修改使用。

整数规划是运筹学与最优化理论的重要分支之一，整数规划模型、理论和算法在管理科学、经济、金融工程、工业管理和其他领域有着广泛的应用，《整数规划》由孙小玲、李端编著，主要介绍经典的线性整数规划理论和算法，同时简单介绍近年发展起来的非线性整数规划理论，主要内容包括：线性和非线性整数规划问题和模型、线性规划基础、全单模矩阵、图论和网络流问题、算法复杂性理论、分枝定界算法、割平面方法、多面体和有效不等式理论、整数规划对偶理论、0-1二次整数规划与SDP松弛、0-1多项式整数规划等。
《整数规划》适合运筹学、管理科学、应用数学和工程类专业的高年级本科生和研究生作为整数规划的教材和参考书，读者只需具有高等数学基础就可以阅读。

《动态合作博弈》系统地介绍了零和博弈、非零和博弈、多阶段博弈以及微分博弈的基础理论，针对经典的特征函数型合作博弈、多阶段合作博弈以及合作微分博弈展开深入系统的研究，建立了比较完整的动态合作博弈的理论框架。通过运用分配补偿程序的概念给出了各类动态合作博弈的建立具有动态稳定性（时间一致性）以及强动态稳定性解的方法。书中介绍了大量的博弈模型，其中多数是首次出现在中文版博弈论专业书籍中。《动态合作博弈》的结构安排适应多层次的读者群体。前三章可以作为基础数学、应用数学以及经济管理等专业本科生对策理论的基础教材，也可以作为博弈论初学者的入门教材；第4～6章可以作为研究生层次动态合作博弈的教材，经济、管理等领域的研究人员也能从中获得解决实际应用问题的灵感。此外，如果把《动态合作博弈》各章中针对追逃对策所进行的研究独立剥离出来，则在军事科技领域也具有一定的参考价值。

Written by two of the leading figures in the field, this is a lucid and systematic introduction to formal semantics.

18世纪60年代，著名数学家欧拉应邀为德国公主函授哲学、物理学、宇宙学、化学、音乐等多个科学和艺术分支的知识。为此他写下了一系列文笔优美的文章，它们充分体现了欧拉渊博的知识、极高的文学修养和哲学修养。这些通信被整理成书并翻译成英文，分两卷出版，本卷收录了115篇文章。

本书传主匈牙利数学家埃尔德什是当代罕见的数学奇才。他在60多年的数学生涯中，与合作者们共同发表了1475篇高水平的学术论文。
本书以情趣盎然的笔调，穿插数学史上的种种趣闻轶事，刻画出一幅栩栩如生的埃尔德什“肖像画”，同时也向读者展现了一代又一代数学家不屈不挠地迎战诸如“费马大定理”、“四色问题”这样的难题，直至取得辉煌胜利的动人故事。

From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authored by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional, and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.

《局部群表示论,θ对应和Langlands-Shahidi方法》的5篇文章均由2011年6月在北京晨兴数学中心举办的群表示论研讨会的讲稿补充或重写而成，作者都是国际上数论与群表示论方面的著名专家。Corinne Blondel、Colin J.Bushnell和Vincent Secherre的文章从不同的角度由浅入深地阐述了局部群表示理论的最新发展。

《疯狂的罗素：逻辑学与数学的奇幻之旅》是一部历史小说式的漫画故事书，也是一本逻辑学、数学的导引书，通俗易懂地介绍了数学和逻辑学中一些最伟大的思想。本书取材于声名显赫的哲学家伯特兰·罗素，讲述了他的早年生活以及他对真理满怀激情的追求过程。家族秘密和无法驱除的好奇心一直困扰着罗素，使他着迷于一个盗火者普罗米修斯式的目标：建立所有数学的逻辑基础。这个目标惠及人类，却令他自己痛苦、疯狂。在这种痛苦地探寻真理的过程中，罗素与很多传奇思想家相遇了，诸如阿尔弗雷德·诺夫·怀特海，戈特洛布·弗雷格和库尔特·哥德尔，以及他充满热情的学生、声名显赫的路德维希·维特根斯坦。书中用丰满的人物形象、富于表现力和感染力的漫画、扣人心弦的故事，展示了这些20世纪的思想者追求真理的历程，一个个迷人的故事让我们感受与这些思想者一起探险的美妙和疯狂。

本书介绍了统计学的七个基本思想——聚合、信息、似然、相互比较、回归、设计、残差，从其由来到引入，从基本概念到对“统计”这门学科的深远影响，并由此深入阐述统计学的科学本质。

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.

《代数》(第3版)：As I see it, the graduate course in algebra must primarily prepare studentsto handle the algebra which they will meet in all of mathematics: topology,partial differential equations, differential geometry, algebraic geometry, analysis,and representation theory, not to speak of algebra itself and algebraic numbertheory with all its ramifications. Hence I have inserted throughout references topapers and books which have appeared during the last decades, to indicate someof the directions in which the algebraic foundations provided by this book areused; I have accompanied these references with some motivating comments, toexplain how the topics of the present book fit into the mathematics that is tocome subsequently in various fields; and I have also mentioned some unsolvedproblems of mathematics in algebra and number theory. The abc conjecture isperhaps the most spectacular of these.

《布朗运动和随机计算(第2版)》是Springer《数学研究生丛书》之113卷，是国内外公认的金融数学经典教材，各章有习题详解。

《算术教程(英文版)》讲述了：The first one is purely algebraic. Its objective is the classification ofquadratic forms over the field of rational numbers （Hasse-Minkowskitheorem）. It is achieved in Chapter IV. The first three chapters contain somepreliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols.Chapter V applies the preceding results to integral quadratic forms indiscriminant + 1. These forms occur in various questions: modular functions,differential topology, finite groups. The second part （Chapters VI and VII） uses "analytic" methods （holomor-phic functions）. Chapter VI gives the proof of the "theorem on arithmeticprogressions" due to Dirichlet; this theorem is used at a critical point in thefirst part （Chapter 111, no. 2.2）. Chapter VII deals with modular forms,and in particular, with theta functions. Some of the quadratic forms ofChapter V reappear here.

In 1970 I gave a graduate course in ergodic theory at the University of Maryland in College Park, and these lectures were the basis of the Springer Lecture Notes in Mathematics Volume 458 called "Ergodic Theory--Introductory Lectures" which was published in 1975. This volume is nowout of print, so I decided to revise and add to the contents of these notes. I have updated the earlier chapters and have added some new chapters on the ergodic theory of continuous transformations of compact metric spaces. In particular, I have included some material on topological pressure and equilibrium states. In recent years there have been some fascinating interactions of ergodic theory with differentiable dynamics, differential geometry,number theory, von Neumann algebras, probability theory, statistical mechanics, and other topics. In Chapter 10 1 have briefly described some of these and given references to some of the others. I hope that this book will give the reader enough foundation to tackle the research papers on ergodictheory and its applications.

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.

《神奇的π》内容包罗万象、文笔风趣。其中包括了圆周率的历史，和一些沉迷此道者的趣事。在数十则“花边新闻”中，收录了各种和圆周率相关的琐事。摘录报道中，记录了数世纪以来圆周率造成的巨大影响。

从历史开始，本书全面地介绍了与“π”有关的人与事，语言生动，引人入胜。
本书适合于小学以上文化水平的爱好者阅读。