本书介绍科学计算需要的各类数值分析方法，不但在严谨的数学科学背景下进行讨论，而且给出了数值分析方法的严格证明。内容宽泛而深入，讲解细致而生动，包含大量定理、各种习题，曾被美国多所大学采纳为教材。
本书特点：涵盖了科学计算中数值分析的广泛主题，除数值分析的基础知识外，还涉及线性代数和非线性代数方程组的求解、数值微分与数值积分、常微分方程和偏微分方程的数值解、函数逼近等方面的内容。增加了优化方面的内容和查询相关信息的网络资源。着重讲解与算术相关的理论基础。算法以伪代码的形式给出，以便学生可以立即用标准语言和交互数据包来编写实现算法的计算机程序。
这是一本对所研究的问题作更多学术性讨论的数值分析教材，介绍了与科学计算有关的各类算法和方法以及这些方法的数学基础。主要内容包括：计算机算术运算、非线性方程的解、解线性方程组、数值线性代数精选、函数逼近、数值微分和数值积分、常微分方程数值解、偏微分方程数值解、线性规划以及最优化等。另外，每章配备了大量的习题，其中不乏实用性很强的计算机习题。
本书可作为数学、工程技术、自然科学、计算机科学和其他相关专业高年级本科生或研究生数值分析课程的教材，也可作为计算数学和工程技术人员的参考用书。

A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.

This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.

高等近世代数，ISBN：9787111191605，作者：（美）罗特曼

《应用随机过程概率模型导论》是一部经典的随机过程著作, 叙述深入浅出、涉及面广，主要内容有随机变量、条件概率及条件期望、离散及连续马尔可夫链、指数分布、泊松过程、布朗运动及平稳过程、更新理论及排队论等；也包括了随机过程在物理、生物、运筹、网络、遗传、经济、保险、金融及可靠性中的应用，特别是有关随机模拟的内容, 给随机系统运行的模拟计算提供了有力的工具。《应用随机过程概率模型导论》有约700道习题, 其中带星号的习题还提供了解答。

本书是美国著名的数学分析教材，涵盖了初等微积分以及实变函数论和复变函数论等内容，涉及现代分析的最新进展。书中包含大量覆盖各个方面、各级难度的习题，通过习题的训练，可以培养学生的运算技能和对数学问题的思维能力。
本书条理清晰，内容精练，言简意赅，可作为高等院校数学与应用数学、信息与计算科学等专业学生的教材，同时也可作为数学工作者和科技人员的参考书。

本书是《princeton landmarks in mathematics》系列之一，是一部经典的教材。书中讨论了对称，全线性，正交和辛群，以及它们的不同的不变性和表示论，运用代数的基本观点阐释群的不同性质，恰到好处地运用分析和拓扑。书中也包括了矩阵代数，半群和交换子和自旋子，这些对于很好地理解量子力学的群理论结构很有帮助。目次：引入；向量不变量；矩阵代数和群环；对称群和完全线性群；正交群；对称群；特征；不变基本理论；矩阵代数综述；补充。
读者对象：数学专业的本科生，研究生和相关的科研人员。

《希尔伯特数学世界的亚历山大》是被科学界公认的经典读本。大卫·希尔伯特是20世纪上半叶国际数学界的一位领袖人物，他于1900年在巴黎第二届国际数学家大会上提出的23个数学问题，激发了整个数学界的想象力，造就了20世纪一大批著名的数学家。此后，这些问题几乎成为检阅数学重大成就的一张航图。这位创造20世纪数学史奇迹的数学家和数学思想家，就像数学世界的亚历山大，在整个数学版图上留下了巨大显赫的名声。全书以平静的笔触叙述了这位极富想象力的人在一个极抽象的世界里如鱼得水、平淡而又神奇的一生。

"It presents a sensitive portrait of a great human being. It describes accurately and intelligibly on a nontechnical level the world of mathematical ideas in which Hilbert created his masterpieces. And it illuminates the background of German social history against which the drama of Hilberts life was played. Beyond this, it is a poem in praise of mathematics." -SCIENCE

本书是20世纪大数学家外尔阐释对称思想的力作。对称是人类千百年来试图理解和建立秩序、优美、完美所依据的概念之一。本书从对称意味着比例之和谐这一概念出发，从双侧对称性、平移对称性、旋转对称性、装饰对称性、晶体对称性等对称性的几何概念，逐步深入、最后上升到作为所有这些特殊形式基础的普遍的抽象数学思想。

This book, Kolmogorov in Perspective, includes articles written by Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. Specifically, the article, "Andrei Nikolaevich Kolmogorov. A Biographical Sketch of His Life and Creative Paths" by A. N. Shiryaev, gives an excellent personal and scientific biography of Kolmogorov. The volume also includes the following articles: "On A. N. Kolmogorov" by V. I. Arnol'd, "In Memory of A. N. Kolmogorov" by S. M. Nikol'skii, "Remembrances of A. N. Kolmogorov" by Ya. G. Sinai, "The Influence of Andrei Nikolaevich Kolmogorov on My Life" by P. L. Ul'yanov, "A Few Words on A. N. Kolmogorov" by P. S. Aleksandrov, "Memories of P. S. Aleksandrov" by A. N. Kolmogorov, "Newton and Contemporary Mathematical Thought" by A. N. Kolmogorov, and an extensive bibliography with the complete list of Kolmogorov's works--including the articles written for encyclopedias and newspapers. The book is illustrated with photographs and includes quotations from Kolmogorov's letters and conversations, uniquely reflecting his mathematical tastes and opinions.

Addresses the construction, analysis, and intepretation of mathematical models that shed light on significant problems in the physical sciences.
The authors' case studies approach leads to excitement in teaching realistic problems. The many problems and exercises reinforce, test and extend the reader's understanding. This reprint volume may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers working on fluid mechanics, elasticity, perturbation methods, dimensional analysis, numerical analysis, continuum mechanics and differential equations.

《广义函数论》是关于广义函数的第一本专著。全书共分九章。书中系统总结、高度概括了作者L．施瓦兹当年得以获得“菲尔兹奖”的主要工作。讨论了广义函数的各种基本性质、运算与变换，特别是阐明了著名的Dirac函数其实是一个测度而不是一个函数。从而为Dirac测度在量子力学以及其他学科中的广泛应用打下了坚实的数学基础。
《广义函数论》包含了当时与广义函数论有关的许多重要的理论和原始思想。在其法文版首次出版后半个多世纪的今天仍有理论价值和参考价值，尤其适合于数学系高年级本科生或研究生研读。

【内容简介】
本书是H．嘉当根据他于二十世纪五十年代后期到六十年代初期在巴黎大学理学院所授复变解析函数课程编写的。包含了单复变函数一些经典的理论，也介绍了多复变函数的解析性和全性，是一本非常经典的解析函数论入门教程。该书先讲收敛幂级数，后讲可导函数及积分，精确地引进了解析空间和黎曼面等概念，讲述了多复变解析函数的概念，在使用工具方面，引进了拓扑及抽象代数中的一些概念。书中还包括很多练习。.
原书已被翻译成中、日、英、俄等多国文字，至今仍为法国务大学复变函数课程主要参考书。..
本书可供我国数学专业及相关专业的研究生、教师参考。...

There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

《代数学基础(影印版)》论述代数学及其在现代数学和科学中的地位，高度原创且内容充实。作者通过讨论大学代数课程，如李群、上同调、范畴论等，阐述每个代数概念的起源与物理现象及其他数学分支之间的联系。《代数学基础(影印版)》为数学家必读，无论他是初学代数学还是代数学专家。