This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

《现代数学基础:多复变函数论》包含多复变函数研究中分析、层论与复几何这三个最主要方面的主要研究成果与方法。较之国内外相应的多复变函数著作，《现代数学基础:多复变函数论》的内容更全面，而且通过阅读《现代数学基础:多复变函数论》，读者可以充分了解多复变函数与几何、拓扑、方程和实分析等相关分支的交叉关系。

《实变函数与泛函分析概要2》第三版保持了内容精选、适用性较广并便于教学的特色，认真参考不少高校教师的宝贵建议，如删去了非线性泛函内容，增加了Banach空间解析算子演算，对Hilbert空间自伴紧算子作了较详阐述。第二册共五章：第六章介绍距离空间，包括完备性、紧性及不动点定理。第七章介绍Banach空间与Hilbert空间基础概念，包括基与规范正交系。第八章讨论了Banach空间上有界线性算子。对开映射定理、线性泛函延拓定理及共鸣定理进行了详细论证并给出了应用。Hilbert空间上有界线性算子在第九章介绍，特别是讨论了自伴算子的谱分解。对酉算子、正常算子的谱分解则给予初步介绍。至于广义函数初步，在第十章给出。每章后给出小结，并附有大量习题。一部分内容附上*号，初学时可以略去。 《实变函数与泛函分析概要2》可作为综合大学、理工大学、师范院校的数学与应用数学、计算数学、统计数学等专业的教材，也可作为有关研究生、自学者的参考用书。所需预备知识为数学分析、线性代数、复变函数、微分方程及《实变函数与泛函分析概要2》第一册的基本内容。

《可怕的科学•经典数学系列:寻找你的幸运星•概率的秘密》为可怕的科学系列之一。《可怕的科学》的一系列内容和形式的运作使青少年读者不由自主地喜欢它们，在快乐中学习，丝毫没有记忆知识的枯燥，反而成为一种愉快的游戏。比游戏过瘾，比卡通搞笑，比上网刺激！学习与搞笑的奇特组合，读科学书也像读哈里·波特那样过瘾。

First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices.

Scientific knowledge grows at a phenomenal pace-but few books have had as lasting an impact or played as important a role in our modern world as "The Mathematical Theory of Communication", published originally as a paper on communication theory in the "Bell System Technical Journal" more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. * Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables. * Includes an appendix on the Riesz representation theorem.

《经济数学基础》(第2分册线性代数)(修订第4版)自1995年出版后受到广泛好评，1996年被评为川版优秀图书。为适应新的形势，本词典于1999年7月开始修订，并扩大词汇量，修订工作历时三年。修订后的词典编写严谨，科学性强，实用性好。每个成语词条除了通常的注音、释义、例句外，还标出了成语的结构、同义成语、反义成语、同义成语辨析、成语辨误等。

《常用不等式(第4版)》第四版对2004年第三版的内容作了全面细致的修订，并补充了第三版出版以来不等式研究的新的重要成果，充分反映了20世纪以来，特别是20世纪90年代以来不等式理论和方法的最新进展。全书共分17章，包含了美国数学评论(MR)2000主题分类中所有关于不等式论题的40个三级分类项目，还包括了国内外历年来大、中学生各类数学竞赛和研究生入学考试中所出现的新的不等式，以及工程技术问题中常用的不等式，所收录的不等式增加到6千多个，第四版还总结了不等式的常用证法55种，提出了212个未解决或值得进一步研究的问题。由于不等式在数学各个领域和科学技术中都是不可缺少的基本工具，加上《常用不等式(第4版)》起点低，因而《常用不等式(第4版)》的读者面是非常广泛的，各种不同专业水平的读者，不论是大中学师生，数学研究者，还是工程技术人员，都可以从中找到各自感兴趣的有用材料和研究课题。

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is elementary, assuming only a modest background from readers, making it suitable for a wide variety of students and course structures. Its selection of topics has been deemed "superb" by teachers who have used the text. A significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight into the subject. Instructors and students alike will find the work to be a significant contribution to this highly applicable and stimulating subject.

《我这样教数学:华应龙课堂实录》主要内容简介：一直在寻找一个词来概括华应龙的教学特色，以表达我对华应龙教学总的认识，但是，十分困难。这是因为，他美丽的侧面太多了，再现的色彩很丰富，蕴涵的意义又很深。不过，我想也许用一个普通的很流行的词来表达，倒可能是最合适的，这个词就是智慧。

本书共分上下两册。上册主要阐述了世界数学在萌芽期、希腊两个时期的演变历程，同时针对数学在古埃及、古巴比伦、古希腊、古阿拉伯、古印度等不同文明区域中的特征，进行了深入讨论。下册着重阐述了世界数学由萌芽期、变量期向现代时期演进，以及中国数学经先秦、汉唐，宋元、明清至现代，终与世界合流的历程。

Well-organized text designed to complement graduate-level physics texts in classical mechanics, electricity, magnetism, and quantum mec hanics. Topics include theory of vector spaces, analytic function theory, Green's function method of solving differential and partial differential equations, theory of groups, more. Many problems, suggestions for further reading. This textbook is designed to complement graduate-level physics texts in classical mechanics, electricity, magnetism, and quantum mechanics. Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics. Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text. Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

《数学奥林匹克试题背景研究》是金庸等人常写的故事。这套奥博丛书，其中就有若干本或许可以称为解题秘籍，当然，得到它之后，要成为解题高手，还得注意。

本书是数学天元基金和高等教育出版社共同推出的《俄罗斯数学教材选译》系列中的一本。 本书在选材和叙述上特色鲜明。在内容方面，既讲授经典的理论力学内容——运动学、静力学和动力学，又详细介绍分析力学、刚体动力学、运动稳定性、振动、撞击运动、变质量系统、天体力学等相关课程的基本内容，同时全书贯穿渗透了近几十年来的最新科研成果。 本书适用于数学、力学专业的本科生和研究生，也可供相关专业的科研人员、工程技术人员、教师和学生参考。

《数学物理学百科全书·数学物理学导言》是《数学物理学百科全书》之一。《数学物理学百科全书》由来自30个国家的400多位物理学家和数学家，历时4年倾力奉献。《数学物理学导言》共分12卷：数学物理导言1卷（含中文翻译），物理学方面7卷（卷2-卷8），数学方面4卷（卷9-卷12）。400多篇图文并茂的综述性文章，内容全面系统、领域涵盖广泛，参考文献丰富，可全面了解数学物理基础知识发展前沿以及核心课题。本套书可供物理学和数学领域的所有高等院校的广大师生和科研院所的研究人员及研究生参考使用。《数学物理学导言》为丛书的第1卷。主要介绍了经典力学、平衡态统计力学、闵可夫斯基时空和狭义相对论、量子力学等方面的知识。