《数学名著译丛•常微分方程》用现代数学观点阐述常微分方程论中的一些基本问题，《数学名著译丛•常微分方程》共分五章：基本概念，基本理论，线性系统，基本定理的证明和流形上的微分方程，《数学名著译丛•常微分方程》特点是注重几何和定性的考察，并且特别强调在力学中的应用。《数学名著译丛•常微分方程》论述严谨，深入浅出，并有大量图形、例题和问题，书后附有典型练习题，有助于读者深入理解《数学名著译丛•常微分方程》的内容。
《数学名著译丛•常微分方程》可供大学数学系高年级学生、研究生、教师及其他数学工作者参考。

The first two ch

本书是Л.C庞特里亚金院士根据他多年在莫斯科大学数学力学系所用的讲义编成的一本教材。它的第一次出版是在1961年，现在的第6版有不少的修改。本书从编写的指导思想到内容的具体安排上，与传统教材有很大的不同。作者从常微分方程在现代科学技术方面的应用出发，对材料作了新的选择和安排，不仅讲述了纯数学的常微分方程理论，同时还讲述了有关的技术应用本身。全书包括引论，常系数线性方程，变系数线性方程，存在性定理，稳定性共五章，另外还有两个与本书内容密切联系的附录，即一些分析问题和线性代数知识。每节后面都有例子或者实际应用问题。.
本书可供高等学校数学、物理、工程及相关专业的本科生、硕士生、教师，以及相关领域的研究人员参考使用。...

《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。

《微积分和数学分析引论(共2册)》分两卷，地一卷为单变量情形，第二卷为多变量情形。第一卷中译本分两册出版。《微积分和数学分析引论(共2册)》为第一卷第一分册，包括前三章，主要接受函数、极限、微分和积分的基本概念及其运算。《微积分和数学分析引论(共2册)》包含大量的例题和习题，有助于读者理解《微积分和数学分析引论(共2册)》的内容。

本书是介绍布尔代数基本理论的入门书籍．全书共分五章．第一章讨论集合代数；第二章讨论布尔代数的自对偶公理系统；第三、四章讨论布尔方程与语句代数；第五章以半序理论为背景对布尔代数作了考察．本书可供数学工作者和自动化与电子计算机研制单位的科技人员参考．

《有限群的线性表示》是著名法国数学家、菲尔兹奖获得者JeanPierreserre的经典著作。全书分三部分。第一部分讲述有限群的线性表示的最基本的内容，主要是群表示和特征标的对应关系；第二部分对群的常表示做了进一步的阐述，如诱导表示、有理性问题等；第三部分简单讨论了群的模表示理论。《有限群的线性表示》深入浅出，对内容的处理极有特色，是学习有限群的线性表示的经典书籍。
《有限群的线性表示》根据原书第二版的英译本翻译，并根据法文修订第三版作了校订。

This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a course given in 1966 to second-year students of l'Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory.

本书的诞生还是半个世纪之前的事情，但是，深贯其中的严谨的学术风范以及针对不同时代所做出的切实改进使得它愈久弥新，成为复分析领域历经考验的一本经典教材。本书作者在数学分析领域声乐卓著，多次荣获国际大次，这也是本书始终保持旺盛的生命力的原因之一。本书适合用做数学专业本科高年级学生及研究生教材。

Proofs without words are generally pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: Geometry and algebra; Trigonometry, calculus and analytic geometry; Inequalities; Integer sums; and Sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics.

This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In this third edition, besides revisions to the second edition, new sections discussing Voronoi diagrams of line segments, farthest-point Voronoi diagrams, and realistic input models have been added.

The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.

范畴论是近十年来兴起的计算机科学前沿研究打向之一，前景广阔．本
书作者对这一领域做了很多研究工作．80年末,在美国期间收集了最新的有
关资料．在此基础上写成的本书反映了范畴论作为工具应用于计算机科学的
最新情况．
书中首先介绍代数规范的基本知识和一些泛代数的知识，然后系统地介
绍了范畴论的主要内容：范畴、函子、自然变换、积与和、极限和余极限、伴随、
笛卡儿封闭的范畴和素描等，并通过很多例子．介绍了范畴论在程序设计语
言的语义、λ演算、论域理论、演绎系统和形式规范等方面的应用．各章节岳
面附有习题．
本书可作为计算机专业的高年级本科生、研究生的教材．亦可供从事计
算机科学研究和开发的科技人员参考．

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.