The core chapters of this volume provide a complete course on metric， normed， and Hilbert spaces， and include many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format including elementary real analysis， Lebesgue integration on R， and an introduction to functional analysis. This makes a versatile text also suited for courses on real analysis， metric spaces， abstract analysis， and modern analysis. The book begins with a comprehensive chapter providing a fast-paced course on real analysis， and is followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as an introduction for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis， the Hahn-Banach theorem and duality， separation theorems， the Baire Category Theorem， the Open Mapping Theorem and their consequences， and unusual applications such as weak solutions of the Dirichlet Problem and Pareto optimality in Mathematical Economics. Of special interest is the unique collection of nearly 750 exercises， many with guidelines for their solutions. The exercises include applications and extensions of the main propositions and theorems， results that fill in gaps in proofs or that prepare for proofs later in the book， pointers to new branches of the subject， and difficult challenges for the very best students.本书为英文版。

In a recent issue， The New Scientist ran a cover story under the title： "Mission improbable. How to predict the unpredictable"; see Matthews [448]. In it， the author describes a group of mathematicians who claim that extreme value theory （EVT） is capable of doing just that： predicting the occurrence of rare events， outside the range of available data. All members of this group， the three of us included， would immediately react with： "Yes， but， ..."， or， "Be aware...". Rather than at this point trying to explain what EVT can and cannot do， we would like to quote two members of the group referred to in [448]. Richard Smith said， "There is always going to be an element of doubt， as one is extrapolating into areas one doesn't know about. But what EVT is doing is making the best use of whatever data you have about extreme phenomena." Quoting from Jonathan Tawn， "The key message .is that EVT cannot do magic - but it can do a whole lot better than empirical curvefitting and guesswork. My answer to the sceptics is that if people aren't given well-founded methods like EVT， they'll just use dubious ones instead."此书为英文版。

“新世纪科学史系列”是中国科学院自然科学史研究所和辽宁教育出版社共同策划的合作项目，旨在收录科学史学科的优秀研究成果，推动学术发展。《墨经数理》为项目之一。《墨经数理》主要介绍《墨经》（约前3世纪）中的数学和逻辑学。《墨经》的数学较一般中国数学史著作为多，且有不少新的见解；《墨经》的逻辑学对中国古代数学理论有重大影响，并终于促成中国古代数学形成一个完全可以和古希腊数学相媲美的理论体系。可供数学史、逻辑学史研究和数学教育参考。

本书分为两部分，第一部分是娱乐数学第一名题——幻方，对古今中外在幻方研究中的发现和成果有极为详细的介绍。第二部分是娱乐数学其他经典名题，包括数字哑谜、数学金字塔、素数、完美数、自守数、累进可除数，以及“数学黑洞”现象、棋盘上的哈密顿回路、八皇后问题、焚塔、重排九宫等问题。题材广泛、内容有趣，能够启迪思想、开阔视野，培养读者分析和解决问题的能力。适于高中及高中以上文化程度的读者阅读。

本书讲述了与逻辑演算有密切关系的Boole代数理论；命题演算与一阶谓词演算理论；归结原理理论以及多值逻辑演算理论等内容。

高等学校教材。本书为高等学校教材，内容包括命题逻辑、一阶谓词逻辑、集合、关系、映射、代数系统、半群与群、环与域、布尔代数、欧拉图与哈密尔顿图、树、平面图等。

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研究生教材 国防科技大学研究生教材专项经费资助。本书共10章，包括图的基本概念、树、通能性、遍历性、匹配、Ramsey数、着色、平面图、有向图、图的空间与矩阵以及图的计算等图论基本内容和理论。还介绍了相异代表系、鸽巢原理、容斥原理、递推关系、生成函数和Polya计数定理等经典的组合数学原理。

本教材按照成人高等教育关于高等数学课程的教学要求，并结合经济管理类专业的具体需求而编写．全书共分六章，系统介绍了成人高等教育经济管理类专业应具备的高等数学知识．根据成人教育"以自学为主、集中授课"的特点，本书编者结合十多年主讲成人教育的高等数学实践，对于教学中的难点，写得较详细；注重选取经济现象中用高等数学知识解决的实际问题作为例题．本书适合成人高等教育经济管理类专业作为经济数学（高等数学部分）教学的教材，也可作为成人高等教育其他专业学生学习高等数学的参考书．

农林院校必修课考试辅导丛书。紧扣教学大纲，梳理知识体系，解读重点难点，网罗名校真题，精讲单项考点，引导复习路径。