Contents of Complex variables
多邻国题库,材料,模板,讲解视频-阅读填空答案
Snow develops in clouds that themselves are part of a larger weather system. The phy sics of sn ow crystal devel opment in clouds results fr om a com plex set o f variables th at include mois ture content a nd temperatures. The resu lting shapes o f the fal ling and fal len crystals c an be class ified into a number o f basic sh apes and combin ations, the reof. Occasionally, some plate-like, dendritic and stellar-shaped snowflakes can form under clear sky with a very cold temperature inversion present.Because bits can only be a 0 or a 1, digital transmissions don’t have the same amount of accuracy as analogy signals. Also, digital sys tems need t o have compli cated digital circu itry to re ad and under stand the sig nals, th at can co st more mo ney than ana log hardware do es. However, the benefit is that the digital signals can be manipulated, created and read by computers and computer hardware.The math team also hosts an event for parents and students, Family Math Night. This event lets par ents to preview cou rse material wi th their stud ents through hands-on activities r un by ma th team mem bers. The goal of Family Math Night is “to help parents become comfortable assisting their students with math homework.”Of all 429 nursing home residents, informed consent was gained from 134 patients. Each h as a sc ore of 25 or le ss on t he Mini-Mental State Examination, and instr ument used i n research a nd clinical prac tice that asse sses short-term mem ory, spe ech, rea ding and ot her cognitive compo nents. Nutrition, behaviour and depression were assessed using three different scales which have been shown to be reliable and are frequently used with the cognitive impaired. Look for papayas that are partly or completely yellow in color, depending on variety, that give slightly to pressure, but are not soft at the stem-end. Avoid pap ayas that a re bruised, shriveled, or h ave soft ar eas. Papayas th at are ha rd and gr een are imma ture and wi ll not ri pen properly. Uncut pap ayas have n o smell. Papayas that are cut should smell sweet, not bad or fermented.I don’t think that the builder we are working with is reputable. Everything h e says i n sensationala re exaggerated, and I don’t fi nd his argu ments very convi ctive. The fa ct that h e does n ot have ma de recommendations fr om clients i n the ar ea is ano ther point agai nst him. I would feel more comfortable it we opted for an alternate builder.Thus, when th ese stars exp and and co ol, th ey do n ot brighten a s much a s lower mass st ars, how ever, th ey were mu ch brighter th an lower-mass st ars to be gin with, and a re thus st ill brighter th an the r ed giants for med from less massive stars.The source of the Wisconsin is in the forests of northern Wisconsin. The sour ce is a small la ke on t he border bet ween Wisconsin a nd Michigan. The ri ver flows so uth across Wisconsin. It fl ows through a plain ma de by a glacier dur ing the la st ice a ge. It passes the cities of Wausau and Stevens Point.The shoreline of the Beaufort Sea is covered with tundra. It i s the nort hern limit o f the pol ar bear i n North America. The Mackenzie River i s an impo rtant place t o live f or whales a nd sea bi rds. The de lta of Mackenzie River h as many la kes and po nds. The muskrat is one animal that lives here.To whom it may concernOur bus iness is sear ching for a person t o give st ern advice f or our maga zine. we req uire that t he person b e very fashio nable a nd have go od knowledge o f popular tre nds. The person will need to be able to use a camera to document fashion seen on the street.The novel was called The Sun Also Rises. It i s about yo ung Americans i n Europe af ter World War One. The w ar had dest royed their dre ams and h ad given th em nothing t o replace th ose dreams. The writer Gertrude Stein later called these people members of "The Lost Generation."There are many paintings in the castle. There a re portraits o f English Kings and Queens as we ll as o f members o f the fam ily who ow ned the cas tle. It is possible to see the private chambers, or bedrooms, where the family and their most important guests slept.Heavy metal bands sometimes dress in jeans, leather jackets, and leather bo ots, a nd have lo ng hair. Heavy me tal bands some times behave i n a dram atic way wh en they pl ay their instr uments or si ng. However, many heavy metal bands do not like to do this.Born in England, Norton spent most of his early like in South Africa. He immig rated to San Francisco i n 1894 af ter receiving a bequest o f $40,000 from h is father est ate, arri ving aboard t he steam ya cht Hurlothrumbo. Norton initially made a living as a businessman, but he lost his fortune investing in Peruvian rice.Over a period of time, western parts of Tamil lands were developing i n a sepa rate manner. By t he 13th cen tury, t he Cholas a nd the Pandyas had lo st control ov er these ar eas. The peo ple living th ere developed th eir own lang uage and cul ture.Katharine Hepburn (May 12, 1907 - June 29, 2003) was a n American act ress. Her car eer lasted 66 years. She i s thought o f as o ne of t he top scr een actresses i n movie his tory. She was nominated for 12 Academy Awards, winning four.The Walker Art Center was established in 1927 as the first public art gal lery in t he Upper Midwest. In t he 1940s, the mus eum shifted i ts focus tow ard modern a rt, af ter a gi ft from Mrs. Gilbert Walker made i t possible t o acquire wo rks by Pablo Picasso, Henry Moore, Alberto Giacometti, and others.The town has several parks, including Coronation Park ne ar Radcliffe Bridge and Close Park near Radcliffe Tower. Much o f the la nd for Coronation Park w as in 1900 donated b y the Earl of Derby. Close House and t he grounds aro und it we re formerly t he home o f the Bealey family, and we re donated b y the Bleachers' Association.Humpback whales can live up to 45 years. They mig rate between t he places th ey feed i n the win ter and t he places th ey give bi rth in t he summer. They usually live alone.Most of the matter around you will have more than one element in it. But th ere are bi ts of mat ter that y ou have cert ainly seen a nd touched th at are ma de up o f just o ne element. If y ou have ev er held a diamond, for exa mple, i t has be en formed fr om just o ne element, the ele ment Carbon. Surprisingly, the graphite in a pencil that you use for drawing or writing is also Carbon, just arranged differently.Sheila did not respond positively to being criticized by her father-in-law over her sense of direction. She w as driving h im and h er husband t o her fam ily gathering and ma de a wr ong turn do wn a ti ny dirt ro ad. Her father-in-law was frust rated and ma de an impa tient comment. She has since refused to drive if he will be in the car.Carson was born in a log cabin at Tate's Creek, Madison County, Kentucky on Christmas Eve 1809. His par ents were Lindsay (o r Lindsey) Carson a nd his sec ond wife, Rebecca Robinson. Lindsay h ad had fi ve children b y his fi rst wife Lucy Bradley, and t en more chil dren by Rebecca. Kit was their sixth.When there is not enough RAM to store all the running programs, an area of the hard drive will be assigned as 'virtual memory'. Programs th at have be en inactive f or the lon gest will b e stored he re, th en loaded ba ck into t he RAM wh en needed. This allows a computer to multi-task using more, or bigger, programs than would normally be possible.Jennings also found renewed success in his personal life. In 1979, h e married f or the th ird time t o fellow ABC correspondent Kati Marton. That sa me year, he bec ame a fat her when Marton gave bi rth to th eir daughter, Elizabeth.Australian rules football is the most popular sport in Nauru – it and weight lifting are \consi dered the country's national spo rts. There i s a foot ball league wi th eight te ams. Otherspo rts popular i n Nauru in clude volleyball, netball, fishing a nd tennis. Nauru participates in the Commonwealth Games and the Summer Olympic Games.Physical exercise is recommended for management of mild depression and has a moderate eff ect of symp toms. It i s equivalent t o the u se of medic ations or psycho logical therapies f or most people. In older peo ple, it does appear to decrease depression.There were many more countries that she also ruled, because they belong t o the Bri tish Empire. One b y one, many o f the coun tries became indep endent a nd as th ey gained indepe ndence, she bec ame queen o f many o f them. Altogether, she was sovereign of 32 nations.Most stars look like shiny dots from Earth, because they are far aw ay. Our Sun is t he closest st ar to u s. The ea rth moves aro und (orb its )t he Sun i n an ov al shape. The Sun and a ll things th at orbit i t are cal led the Solar System.Despite the elaborate decoration, the new restaurant on the 2rd Avenue is deeply boring. The first course consisted of tr and leafs, pres in a pretentious dis. The fla was lac in de , and the leafs were regretfully overcooked. The second course also failed to inspire awe.The earliest peoples of North and central America bonded together in egalitarian, expanded-family groups, living by hunting and gathering. They event ually become speci alized and ada pted to t he continent’s var ious ecological nic hes: plains, mountains, deserts, woodlands, river val leys, a nd coastal ar eas. Specifically, adapted sp ear points a nd other weap onry reveal t he major pr ey species i n different cul ture areas.Each House has a body of rights that it asserts, or which are conferred by statute, with the aim of being allowed to carry out its duties without interference. For exa mple, mem bers of bo th Houses ha ve freedom o f speech dur ing parliamentary deb ates; wh at they ha ve said c an not b e questioned i n any pl ace outside Parliament, a nd so a speech ma de in Parliament can not constitute sla . these rights are collectively referred to as Parliamentary Privilege.It takes its name from the city Pau , through which it flows. The wo rd gave i s a na me given t o rivers o n the mount ains in reg ions of t he western Pyre nees ; s o, Gave de Pau means "the ri ver of Pau" o r "t he river th at flows thr ough Pau".Tanya is going to be studying in Russia for part of next year. She wi ll be tak ing Russian a nd biology cla sses at a university i n St. Petersburg. She ne eds to req uest a vi sa in or der to b e able t o take cla sses there.Therefore, what is the evaluation's problem definition? Geva-May a nd Pal (1999) says th at it i s to dete rmine the rese arch method, target popul ation and rese arch tools, but partic ularly avoid predi cting results. The anal yst of pub lic policy sho uld finish th is part o f the wo rk. Since evaluation is primarily retrospective, it looks at context in terms of factors that facilitated or impeded policy success.My favorite person is my cousin Fran. She i s a ve ry nice per son a nd lives i n my to wn. She co mes from France, whi ch she li ves with m y ant a nd uncle. She i s 13 ye ars old but se ems much ol der. She is in the 8th grade.Alleged violations of the Charter can also be raised by states in the Security Council. The Security Council co uld subsequently pa ss resolutions un der Chapter VI of t he UN Charter to reco mmend the "Pacific Resolution of Disp utes." Such resol utions are n ot binding un der international l aw, tho ugh they usu ally are expre ssive of t he Council's convi ctions. In rare cases, the Security Council can adopt resolutions under Chapter VII of the UN Charter, related to "threats to Peace, Breaches of the Peace and Acts of Aggression," which are legally binding under international law, and can be followed up with economic sanctions, military action, and similar uses of force through the auspices of the United Nations.。
机械设计制造及其自动化专业课程中英文翻译
机械设计制造及其自动化军训及军事理论Military Training and Military Theory计算机实用基础2 Introduction to Computer Application大学英语College English体育Physical Education工科数学分析2 Advanced Mathematics代数与几何 2 Linear Algebra Advanced Algebra and Geometry思想道德修养与法律基础Ideological and Moral Cultivation and Law Basics大学英语College English体育大学物理2 College Physics工科数学分析2C语言程序设计 C Language中国近现代史纲要Modern History of China法语二外（上）The Second Foreign Language French工业造型设计Modeling Design of Industrial Products大学英语College English大学物理2 College Physics大学物理实验1 Experiment in College Physics概率论与数理统计Probability Theory & Mathematical Statistics电工技术1 Electrical Engineering电工与电子技术综合实验1 Experiment for Electrical and Electronic Engineering工程图学（CAD）1 Mechanical Graphing理论力学1 Theoretical Mechanics工程力学实验1 Experiment for Engineering Mechanics毛泽东思想、邓小平理论和“三个代表”重要思想概论Introduction to Mao Zedong Thoughts, Deng Xiaoping Theory and the Important Thought of "Three Represents"文化素质教育系列讲座Cultural quality education lectures体育西方文明简史History of western civilization Introduction to Functional Materials机械原理课程设计Course Exercise of Mechanical Principle工程训练（金工实习）engineering training Metal Working Practice大学物理实验1电子技术1 Electronic Engineering电工与电子技术综合实验1机械原理Principle of Mechanics Mechanical Principles工程图学（CAD）1工程力学实验（材力）1材料力学1 Mechanics of Materials马克思主义基本原理Principles of Marxism文化素质教育系列讲座文化素质教育系列讲座体育项目管理Project Management法语二外（下）法语入门1机械设计课程设计Course Exercise in Mechanical Design工程训练（电子工艺实习）electronic process practice Practice on Electronic Working Techniques互换性与测量技术基础Basic Technology of Exchangeability Measurement工程流体力学Engineering Fluid Mechanics自动控制原理3 Automatic Control Theory电工学新技术实践The new technology of electronics practice机械设计Mechanical Design工程材料成型技术基础Engineering material molding technology机械工程材料Engineering Materials文化素质教育系列讲座文化素质教育系列讲座创新设计与制作Innovation design and production复变函数与积分变换Complex Function Functions of Complex V ariables & Integral Transformation社会热点问题评价evaluation of social issues知识产权"Intellectual Property Law"认识实习Cognition Practice制造系统自动化技术Automation of Mechanical Manufacture System传热学Heat Transfer文化素质教育系列讲座机电控制系统分析与设计Mechanical-Electrical Control system数控技术Numerical Control Technology机械制造装备设计Machinery manufacturing equipment design液压传动Hydraulic Transmission测试技术与仪器Measurement Fundamentals & Meter Design Measurement Fundamentals & Meter Design机械制造技术基础foundation of machine manufacturing technology综合课程设计1 Comprehensive Course Exercise生产实习Production Practice Field Practice现代机械设计方法The modern machinery design method机械动态设计Mechanical Dynamic Design机械结构有限元分析Finite Element of Mechanical Structures Finite Element Analysis and Programming Finite Element Analysis for Mechanical Structures机电系统智能化控制技术（双语Mechanical and electrical system intelligent control technology 综合课程设计2机械优化设计Optimum Design of MachineryMechanical Optimum Design毕业设计Graduation Thesis工程测试技术Engineering Testing Technique。
二元函数极限不存在的证明方法
二元函数极限不存在的证明方法摘要函数是数学中最基本内容，极限方法是研究函数最主要的方法之一，在数学中的学习中,函数是最基本的内容，在研究函数的方法中,最常见的方法就是极限方法，不仅如此，极限的理论是后续更加轻松的学习微积分的基础，在高等数学中，我们也经常用到极限的法子解决，只是没有明确的被提出来这个概念。
证明函数的极限难度是比较大的，在数学的学习中，我们可以碰到各种各样的函数。
二元函数是一元函数的义就是自变量为2的函数，一元函数的自变量是1,很明显，二元的要比一元复杂，再加上它是由平面涉及润，尺寸时，极限是非常基础的，所以工科学生也是必须懂的。
例如:我们以吃穿住行费用为自变量,计算总消费这个因变量是。
为了幸福指数,怎么消费更合适就会想到多维函数.本文用通俗易懂的语言描述二元关系以及判断几种不存在的方法，让读者更深刻理解极限概念.关键词：函数极限；累次极限；不存在;路径;齐次函数;点列AbstractFunction is the most basic mathematical content, ultimate method is to study the function of one of the most important ways, limit theory is the basis of calculus, limit method in higher mathematics is the focus, difficulties. Proof of function limit is difficult, in the learning of mathematics, we can meet a wide variety of functions. Is a unary function binary function of promotion, is the basis for learning functions of several variables. Although the limit of binary function is more complex than the limit of a function, but this mathematical ideas and methodsare the essence of mathematical knowledge, is the important part two of it form the basis for mathematical knowledge is still based on the function of one variable limits. Seeking the limit of binary function is actually the limit of function of hospitals seeking this more complex method is extended to the binary function. II Yuan function of limit is high mathematics teaching in the is important of content, heavy difficulties, but in existing of textbook in the, on its calculation method no detailed and full of described. limit of thought in many field has widely of application, two Yuan function of limit and a Yuan function of limit meaning same, it research of is plane Shang moving points trend a a sentinel Shi, corresponding of function value of changes trend. paper in with field limit concept of positive described and denied described of unified analysis defined,, good seeking two Yuan function limit method, Easy to understand description of binary relations and deep understanding of the concept of limit.Key words: limit; repeated limi does not exist; path; homogeneous functions;目录TOC \o "1-3" \h \z \u 引言51 二元函数极限的基本理论61.1 二元函数的极限61.1.1 二元函数在有限点的极限71.2二元函数极限的性质82.1 路径法112.2 点列法132.3 累次极限法152.4 归结法192.5 定义法202.6 齐次法22总结26谢辞27参考文献28引言我们前面学习了一元函数的极限，但是不论在数学理论问题中还是现实生活中,更多的量的变化不止是由一个因素决定,而是由多个因素决定的,如研究质点运动需要用到三个空间变量和一个时间变量以及多个函数值(如加速度,速度,动能,位置等).在研究消费选择时,所讨论的效用函数是消费在吃和穿等的函数.我们讨论二元函数的极限不存在问题,因为不像一元函数那样有罗必塔法则可用来确定未知式。
复变函数教案（双语）
复变函数教案（双语）复变函数论课程教学实施方案章节、名称：第一章，第1、2、3节，I Complex number field, 1.1 Sums and products, 1.2 Operation, 1.3 Modulus and arguments 课时安排：2教学方式：理论讲授教学目的和要求：重温熟悉复数的概念，熟练掌握复数的四则运算及共轭运算，了解复平面，理解复数的几何表示及其应用。
教学内容及重点、难点：介绍课程理论框架：Chapter I Complex number fieldChapter II Analytic FunctionsChapter III Elementary FunctionsChapter IV IntegralsChapter V SeriesChapter VI ResiduesChapter VII Applications of Residues第一章 Complex number field介绍复数的背景知识，复数的代数表示、代数运算、几何表示。
1．Complex numbers2. operations;Grip the operations, representations and the triangle inequality of complex numbers;3．Complex plane, moduli and arguments of complex numbers;授课实施方案：启发式教学法，以讲授为主，讲练结合。
注重知识背景的阐述，适当增加课外知识、实例分析。
讨论、思考题、作业：思考：（1）复数为什么不能比较大小？（2）复数可以用向量表示，则可以认为与向量运算相同？作业：P7 Exercises 1(a)参考资料：1.Cao Huai-Xin, Zhang Jiang-Hua, Chen Zheng-Li, Ren Fang,An Introduction to Complex Analysis,Xi'an:Shaanxi Normal University Press, 2006.2.Conway J. B., Functions of one Comp1ex Variable,Springer-Verlag, New York Inc., 19783. Yu Jia-Rong, Theory of complex variable functions, Beijing:Advanced Education Press, 2000.章节、名称：第一章，第4、5、6节，I Complex number field, 1.4 Conjugate, 1.5 Exponential form, 1.6 Regions in complex plane课时安排：2教学方式：理论讲授教学目的和要求：掌握复数的共轭、乘幂与方根的运算，了解复平面中的区域概念。
数学本科和研究生初等教材
9月1日数学研究生基础课程参考书目*这个计划是按照美国的体系制订的，美国一年级的研究生课程大概相当于我国重点大学数学本科大三、大四的水平第一学年秋季学期春季学期几何与拓扑I 几何与拓扑II1、James R. Munkres, Topology较新的拓扑学的教材适用于本科高年级或研究生一年级2、Basic Topology by Armstrong本科生拓扑学教材3、Kelley, General Topology一般拓扑学的经典教材，不过观点较老4、Willard, General Topology一般拓扑学新的经典教材5、Glen Bredon, Topology and geometry研究生一年级的拓扑、几何教材6、Introduction to Topological Manifolds by John M. Lee研究生一年级的拓扑、几何教材，是一本新书7、From calculus to cohomology by Madsen很好的本科生代数拓扑、微分流形教材代数I 代数II1、Abstract Algebra Dummit最好的本科代数学参考书，标准的研究生一年级代数教材2、Algebra Lang标准的研究生一、二年级代数教材，难度很高，适合作参考书3、Algebra Hungerford标准的研究生一年级代数教材，适合作参考书4、Algebra M,Artin标准的本科生代数教材5、Advanced Modern Algebra by Rotman较新的研究生代数教材，很全面6、Algebra：a graduate course by Isaacs较新的研究生代数教材7、Basic algebra V ol I&II by Jacobson经典的代数学全面参考书，适合研究生参考分析基础复分析I实分析I1、Walter Rudin, Principles of mathematical analysis本科数学分析的标准参考书2、Walter Rudin, Real and complex analysis标准的研究生一年级分析教材3、Lars V. Ahlfors, Complex analysis本科高年级和研究生一年级经典的复分析教材4、Functions of One Complex Variable I，J.B.Conway研究生级别的单变量复分析经典5、Lang, Complex analysis研究生级别的单变量复分析参考书6、Complex Analysis by Elias M. Stein较新的研究生级别的单变量复分析教材7、Lang, Real and Functional analysis研究生级别的分析参考书8、Royden, Real analysis标准的研究生一年级实分析教材9、Folland, Real analysis标准的研究生一年级实分析教材第二学年秋季学期春季学期代数III 代数IV1、Commutative ring theory, by H. Matsumura较新的研究生交换代数标准教材2、Commutative Algebra I&II by Oscar Zariski , Pierre Samuel经典的交换代数参考书3、An introduction to Commutative Algebra by Atiyah标准的交换代数入门教材4、An introduction to homological algebra ,by weibel较新的研究生二年级同调代数教材5、A Course in Homological Algebra by P.J.Hilton,U.Stammbach经典全面的同调代数参考书6、Homological Algebra by Cartan经典的同调代数参考书7、Methods of Homological Algebra by Sergei I. Gelfand, Yuri I. Manin高级、经典的同调代数参考书8、Homology by Saunders Mac Lane经典的同调代数系统介绍9、Commutative Algebra with a view toward Algebraic Geometry by Eisenbud 高级的代数几何、交换代数的参考书，最新的交换代数全面参考代数拓扑I 代数拓扑II1、Algebraic Topology, A. Hatcher最新的研究生代数拓扑标准教材2、Spaniers "Algebraic Topology"经典的代数拓扑参考书3、Differential forms in algebraic topology, by Raoul Bott and Loring W. Tu 研究生代数拓扑标准教材4、Massey, A basic course in Algebraic topology经典的研究生代数拓扑教材5、Fulton , Algebraic topology：a first course很好本科生高年级和研究生一年级的代数拓扑参考书6、Glen Bredon, Topology and geometry标准的研究生代数拓扑教材，有相当篇幅讲述光滑流形7、Algebraic Topology Homology and Homotopy高级、经典的代数拓扑参考书8、A Concise Course in Algebraic Topology by J.P.May研究生代数拓扑的入门教材，覆盖范围较广9、Elements of Homotopy Theory by G.W. Whitehead高级、经典的代数拓扑参考书实分析II 泛函分析1、Royden, Real analysis标准研究生分析教材2、Walter Rudin, Real and complex analysis标准研究生分析教材3、Halmos，"Measure Theory"经典的研究生实分析教材，适合作参考书4、Walter Rudin, Functional analysis标准的研究生泛函分析教材5、Conway,A course of Functional analysis标准的研究生泛函分析教材6、Folland, Real analysis标准研究生实分析教材7、Functional Analysis by Lax高级的研究生泛函分析教材8、Functional Analysis by Yoshida高级的研究生泛函分析参考书9、Measure Theory, Donald L. Cohn经典的测度论参考书微分拓扑李群、李代数1、Hirsch, Differential topology标准的研究生微分拓扑教材，有相当难度2、Lang, Differential and Riemannian manifolds研究生微分流形的参考书，难度较高3、Warner,Foundations of Differentiable manifolds and Lie groups标准的研究生微分流形教材，有相当的篇幅讲述李群4、Representation theory: a first course, by W. Fulton and J. Harris李群及其表示论的标准教材5、Lie groups and algebraic groups, by A. L. Onishchik, E. B. Vinberg李群的参考书6、Lectures on Lie Groups W.Y.Hsiang李群的参考书7、Introduction to Smooth Manifolds by John M. Lee较新的关于光滑流形的标准教材8、Lie Groups, Lie Algebras, and Their Representation by V.S. Varadarajan最重要的李群、李代数参考书9、Humphreys, Introduction to Lie Algebras and Representation Theory , Springer-Verlag, GTM-9标准的李代数入门教材第三学年秋季学期春季学期微分几何I 微分几何II1、Peter Petersen, Riemannian Geometry标准的黎曼几何教材2、Riemannian Manifolds: An Introduction to Curvature by John M. Lee最新的黎曼几何教材3、doCarmo, Riemannian Geometry.标准的黎曼几何教材4、M. Spivak, A Comprehensive Introduction to Differential Geometry I—V全面的微分几何经典，适合作参考书5、Helgason , Differential Geometry,Lie groups,and symmetric spaces标准的微分几何教材6、Lang, Fundamentals of Differential Geometry最新的微分几何教材，很适合作参考书7、kobayashi/nomizu, Foundations of Differential Geometry经典的微分几何参考书8、Boothby,Introduction to Differentiable manifolds and Riemannian Geometry标准的微分几何入门教材，主要讲述微分流形9、Riemannian Geometry I.Chavel经典的黎曼几何参考书10、Dubrovin, Fomenko, Novikov “Modern geometry-methods and applications”V ol 1—3经典的现代几何学参考书代数几何I 代数几何II1、Harris,Algebraic Geometry: a first course代数几何的入门教材2、Algebraic Geometry Robin Hartshorne经典的代数几何教材，难度很高3、Basic Algebraic Geometry 1&2 2nd ed. I.R.Shafarevich.非常好的代数几何入门教材4、Principles of Algebraic Geometry by giffiths/harris全面、经典的代数几何参考书，偏复代数几何5、Commutative Algebra with a view toward Algebraic Geometry by Eisenbud 高级的代数几何、交换代数的参考书，最新的交换代数全面参考6、The Geometry of Schemes by Eisenbud很好的研究生代数几何入门教材7、The Red Book of Varieties and Schemes by Mumford标准的研究生代数几何入门教材8、Algebraic Geometry I : Complex Projective Varieties by David Mumford复代数几何的经典调和分析偏微分方程1、An Introduction to Harmonic Analysis,Third Edition Yitzhak Katznelson调和分析的标准教材，很经典2、Evans, Partial differential equations偏微分方程的经典教材3、Aleksei.A.Dezin，Partial differential equations，Springer-Verlag偏微分方程的参考书4、L. Hormander "Linear Partial Differential Operators, " I&II偏微分方程的经典参考书5、A Course in Abstract Harmonic Analysis by Folland高级的研究生调和分析教材6、Abstract Harmonic Analysis by Ross Hewitt抽象调和分析的经典参考书7、Harmonic Analysis by Elias M. Stein标准的研究生调和分析教材8、Elliptic Partial Differential Equations of Second Order by David Gilbarg偏微分方程的经典参考书9、Partial Differential Equations ，by Jeffrey Rauch标准的研究生偏微分方程教材复分析II 多复分析导论1、Functions of One Complex Variable II，J.B.Conway单复变的经典教材，第二卷较深入2、Lectures on Riemann Surfaces O.Forster黎曼曲面的参考书3、Compact riemann surfaces Jost黎曼曲面的参考书4、Compact riemann surfaces Narasimhan黎曼曲面的参考书5、Hormander " An introduction to Complex Analysis in Several Variables" 多复变的标准入门教材6、Riemann surfaces , Lang黎曼曲面的参考书7、Riemann Surfaces by Hershel M. Farkas标准的研究生黎曼曲面教材8、Function Theory of Several Complex Variables by Steven G. Krantz高级的研究生多复变参考书9、Complex Analysis: The Geometric Viewpoint by Steven G. Krantz高级的研究生复分析参考书专业方向选修课：1、多复分析2、复几何3、几何分析4、抽象调和分析5、代数几何6、代数数论7、微分几何8、代数群、李代数与量子群9、泛函分析与算子代数10、数学物理11、概率理论12、动力系统与遍历理论13、泛代数*数学基础：1、halmos ,native set theory2、fraenkel ,abstract set theory3、ebbinghaus ,mathematical logic4、enderton ,a mathematical introduction to logic5、landau, foundations of analysis6、maclane ,categories for working mathematican应该在核心课程学习的过程中穿插选修假设本科应有的水平分析Walter Rudin, Principles of mathematical analysisApostol , mathematical analysisM.spivak , calculus on manifoldsMunknes ,analysis on manifoldsKolmogorov/fomin , introductory real analysisArnold ,ordinary differential equations代数：linear algebra by Stephen H. Friedberglinear algebra by hoffmanlinear algebra done right by Axleradvanced linear algebra by Romanalgebra ,artina first course in abstract algebra by rotman几何：do carmo, differential geometry of curves and surfacesDifferential topology by PollackHilbert ,foundations of geometryJames R. Munkres, Topology12:54 | 阅读评论(2) | 固定链接 | Mathematics数学分析的一些课本一、中文的：最难的5套书：1、《数学分析新讲》（1、2、3册），张筑生，北大版2、《数学分析》（1、2、3册），方企勤，高等教育版3、《数学分析教程》（上、下册）常庚哲等，高等教育版4、《数学分析》（上、下册）黄玉民等，科学出版社5、《简明数学分析》王昆扬，高等教育版最抽象的教材：《数学分析》（上、下册），邹应，武汉大学数学基地班教材（个人认为是目前国内观点最高，最抽象的书）二、国外的书好书太多，菲赫金哥茨的《数学分析原理》太老了，他的那套《微积分学教程》3卷（共8本）才是他的成名作，不过也太老了。
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Advanced Mathematics高等数学Advanced Numerical Analysis高等数值分析Algorithmic Language算法语言Analogical Electronics模拟电子电路Artificial Intelligence Programming人工智能程序设计Audit审计学Automatic Control System自动控制系统Automatic Control Theory自动控制理论Auto-Measurement Technique自动检测技术Basis of Software Technique软件技术基础Calculus微积分Catalysis Principles催化原理Chemical Engineering Document Retrieval化工文献检索Circuitry电子线路College English大学英语College English Test(Band4)CET-4College English Test(Band6)CET-6College Physics大学物理Communication Fundamentals通信原理Comparative Economics比较经济学Complex Analysis复变函数论Computational Method计算方法Computer Graphics图形学原理Computer Interface Technology计算机接口技术Contract Law合同法Cost Accounting成本会计Circuit Measurement Technology电路测试技术Database Principles数据库原理Design&Analysis System系统分析与设计Developmental Economics发展经济学Digital Electronics数字电子电路Digital Image Processing数字图像处理Digital Signal Processing数字信号处理Econometrics经济计量学Economical Efficiency Analysis for Chemical Technology化工技术经济分析Economy of Capitalism资本主义经济Electromagnetic Fields&Magnetic Waves电磁场与电磁波Electrical Engineering Practice电工实习Enterprise Accounting企业会计学Equations of Mathematical Physics数理方程Experiment of College Physics物理实验Experiment of Microcomputer微机实验Experiment in Electronic Circuitry电子线路实验Fiber Optical Communication System光纤通讯系统Finance财政学Financial Accounting财务会计Fine Arts美术Functions of a Complex Variable单复变函数Functions of Complex Variables复变函数Functions of Complex Variables&Integral Transformations复变函数与积分变换Fundamentals of Law法律基础Fuzzy Mathematics模糊数学General Physics普通物理Graduation Project(Thesis)毕业设计（论文）Graph theory图论History of Chinese Revolution中国革命史Industrial Economics工业经济学Information Searches情报检索Integral Transformation积分变换Intelligent robot(s);Intelligence robot智能机器人International Business Administration国际企业管理International Clearance国际结算International Finance国际金融International Relation国际关系International Trade国际贸易Introduction to Chinese Tradition中国传统文化Introduction to Modern Science&Technology当代科技概论Introduction to Reliability Technology可靠性技术导论Java Language Programming Java程序设计Lab of General Physics普通物理实验Linear Algebra线性代数Management Accounting管理会计学Management Information System管理信息系统Mechanic Design机械设计Mechanical Graphing机械制图Merchandise Advertisement商品广告学Metalworking Practice金工实习Microcomputer Control Technology微机控制技术Microeconomics&Macroeconomics西方经济学Microwave Technique微波技术Military Theory军事理论Modern Communication System现代通信系统Modern Enterprise System现代企业制度Monetary Banking货币银行学Motor Elements and Power Supply电机电器与供电Moving Communication移动通讯Music音乐Network Technology网络技术Numeric Calculation数值计算Oil Application and Addition Agent油品应用及添加剂Operation&Control of National Economy国民经济运行与调控Operational Research运筹学Optimum Control最优控制Petroleum Chemistry石油化学Petroleum Engineering Technique石油化工工艺学Philosophy哲学Physical Education体育Political Economics政治经济学Primary Circuit（反应堆）一回路Principle of Communication通讯原理Principle of Marxism马克思主义原理Principle of Mechanics机械原理Principle of Microcomputer微机原理Principle of Sensing Device传感器原理Principle of Single Chip Computer单片机原理Principles of Management管理学原理Probability Theory&Stochastic Process概率论与随机过程Procedure Control过程控制Programming with Pascal Language Pascal语言编程Programming with C Language C语言编程Property Evaluation工业资产评估Public Relation公共关系学Pulse&Numerical Circuitry脉冲与数字电路Refinery Heat Transfer Equipment炼厂传热设备Satellite Communications卫星通信Set Theory集合论Signal&Linear System信号与线性系统SPC Exchange Fundamentals程控交换原理Specialty English专业英语Statistics统计学Stock Investment证券投资学Strategic Management for Industrial Enterprises工业企业战略管理Technological Economics技术经济学Television Operation电视原理Theory of Circuitry电路理论Turbulent Flow Simulation and Application湍流模拟及其应用Visual C++Programming Visual C++程序设计Windows NT Operating System Principles Windows NT操作系统原理Word Processing数据处理姓名NAME性别SEX入学时间1ST TERM ENROLLED IN系别DEPARTMENT专业SPECIALITY毕业时间GRADUATION DATE19XX-19YY学年度第一/二学期1st/2nd TERM.19XX-19YY课程名称COURSE TITLE学分CREDIT成绩GRADE高等数学Advanced Mathematics工程数学Engineering Mathematics中国革命史History of Chinese Revolutionary程序设计Programming Design机械制图Mechanical Drawing社会学Sociology体育Physical Education物理实验Physical Experiments电路Circuit物理Physics哲学Philosophy法律基础Basis of Law理论力学Theoretical Mechanics材料力学Material Mechanics电机学Electrical Machinery政治经济学Political Economy自动控制理论Automatic Control Theory模拟电子技术基础Basis of Analogue Electronic Technique 数字电子技术Digital Electrical Technique电磁场Electromagnetic Field微机原理Principle of Microcomputer企业管理Business Management专业英语Specialized English可编程序控制技术Controlling Technique for Programming 毕业实习Graduation Practice毕业设计Graduation ProjectXX课程设计Project of XX大学英语College English高等代数Advanced AlgebraPASCAL语言PASCAL LanguageC语言C Language汇编语言Assembly Language操作系统Operating System微机接口技术Microcomputer Interface Technique数据结构Data Structure计算机网络Computer Network计算机控制技术Computer Cortrol Technique数据库技术Database Technique专家系统Expert System毕业设计Graduation Project高等数学Advanced Mathematics体育Physical Education德育Moralism机械制图Mechanical Drawing工程数学Engineering Mathematics电工学Electrotechnics计算方法Computing Method微机原理Principle of Microcomputer概率学Probability信息系统分析与设计Information System Analyse and design 编译方法Translate and edit Method专业英语阅读Specialized English Reading普通物理学General Physics数字电子技术Digital Electrical Technique高等代数Elementary Algebra数学分析Mathematical Analysis中共党史History of the Chinese Communist Party算法语言Algorithmic Language体育Physical Education英语English Language力学实验Mechanics-Practical德育Moral EducationPASCAL语言PASCAL Language政治经济学Political Economics电学实验Electrical Experiment数字逻辑Mathematical Logic普通物理General Physics计算方法Computing Method离散数学Discrete Mathematics汇编原理Principles of Assembly概率与统计Probability&Statistics数据结构Data Structure哲学Philosophy微机原理Principles of Microcomputer编译方法Compilation Method系统结构System Structure操作系统原理Principles of Operating System 文献检索Documentation Retrieval数据库概论Introduction to Database网络原理Principles of Network人工智能Artificial Intelligence算法分析Algorithm Analysis毕业论文Graduation Thesis－－－－－－－－－－－－－－－－－－－－－自然辩证法Natural Dialectics英语English Language数理统计Numeral Statistic/Numerical Statistic人工智能及其体系结构Artificial Intelligence&its Architecture高级数理逻辑Advanced Numerical Logic高级程序设计语言的设计与实现Advanced Programming Language's Design& Implementation软件工程基础Foundation of Software Engineering专业英语Specialized English计算机网络Computer Network高级计算机体系结构Advanced Computer ArchitectureIBM汇编及高级语言的接口IBM Assembly&its Interfaces with Advanced Programming Languages分布式计算机系统Distributed Computer System/Distributed System计算机网络实验Computer Network ExperimentAdvanced Computational Fluid Dynamics高等计算流体力学Advanced Mathematics高等数学Advanced Numerical Analysis高等数值分析Algorithmic Language算法语言Analogical Electronics模拟电子电路Artificial Intelligence Programming人工智能程序设计Audit审计学Automatic Control System自动控制系统Automatic Control Theory自动控制理论Auto-Measurement Technique自动检测技术Basis of Software Technique软件技术基础Calculus微积分Catalysis Principles催化原理Chemical Engineering Document Retrieval化工文献检索Circuitry电子线路College English大学英语College English Test(Band4)CET-4College English Test(Band6)CET-6College Physics大学物理Communication Fundamentals通信原理Comparative Economics比较经济学Complex Analysis复变函数论Computational Method计算方法Computer Graphics图形学原理computer organization计算机组成原理computer architecture计算机系统结构Computer Interface Technology计算机接口技术Contract Law合同法Cost Accounting成本会计Circuit Measurement Technology电路测试技术Database Principles数据库原理Design&Analysis System系统分析与设计Developmental Economics发展经济学discrete mathematics离散数学Digital Electronics数字电子电路Digital Image Processing数字图像处理Digital Signal Processing数字信号处理Econometrics经济计量学Economical Efficiency Analysis for Chemical Technology化工技术经济分析Economy of Capitalism资本主义经济Electromagnetic Fields&Magnetic Waves电磁场与电磁波Electrical Engineering Practice电工实习Enterprise Accounting企业会计学Equations of Mathematical Physics数理方程Experiment of College Physics物理实验Experiment of Microcomputer微机实验Experiment in Electronic Circuitry电子线路实验Fiber Optical Communication System光纤通讯系统Finance财政学Financial Accounting财务会计Fine Arts美术Functions of a Complex Variable单复变函数Functions of Complex Variables复变函数Functions of Complex Variables&Integral Transformations复变函数与积分变换Fundamentals of Law法律基础Fuzzy Mathematics模糊数学General Physics普通物理Graduation Project(Thesis)毕业设计（论文）Graph theory图论Heat Transfer Theory传热学History of Chinese Revolution中国革命史Industrial Economics工业经济学Information Searches情报检索Integral Transformation积分变换Intelligent robot(s);Intelligence robot智能机器人International Business Administration国际企业管理International Clearance国际结算International Finance国际金融International Relation国际关系International Trade国际贸易Introduction to Chinese Tradition中国传统文化Introduction to Modern Science&Technology当代科技概论Introduction to Reliability Technology可靠性技术导论Java Language Programming Java程序设计Lab of General Physics普通物理实验Linear Algebra线性代数Management Accounting管理会计学Management Information System管理信息系统Mechanic Design机械设计Mechanical Graphing机械制图Merchandise Advertisement商品广告学Metalworking Practice金工实习Microcomputer Control Technology微机控制技术Microeconomics&Macroeconomics西方经济学Microwave Technique微波技术Military Theory军事理论Modern Communication System现代通信系统Modern Enterprise System现代企业制度Monetary Banking货币银行学Motor Elements and Power Supply电机电器与供电Moving Communication移动通讯Music音乐Network Technology网络技术Numeric Calculation数值计算Oil Application and Addition Agent油品应用及添加剂Operation&Control of National Economy国民经济运行与调控Operational Research运筹学Optimum Control最优控制Petroleum Chemistry石油化学Petroleum Engineering Technique石油化工工艺学Philosophy哲学Physical Education体育Political Economics政治经济学principle of compiling编译原理Primary Circuit（反应堆）一回路Principle of Communication通讯原理Principle of Marxism马克思主义原理Principle of Mechanics机械原理Principle of Microcomputer微机原理Principle of Sensing Device传感器原理Principle of Single Chip Computer单片机原理Principles of Management管理学原理Probability Theory&Stochastic Process概率论与随机过程Procedure Control过程控制Programming with Pascal Language Pascal语言编程Programming with C Language C语言编程Property Evaluation工业资产评估Public Relation公共关系学Pulse&Numerical Circuitry脉冲与数字电路Refinery Heat Transfer Equipment炼厂传热设备Satellite Communications卫星通信Semiconductor Converting Technology半导体变流技术Set Theory集合论Signal&Linear System信号与线性系统Social Research社会调查software engineering软件工程SPC Exchange Fundamentals程控交换原理Specialty English专业英语Statistics统计学Stock Investment证券投资学Strategic Management for Industrial Enterprises工业企业战略管理Technological Economics技术经济学Television Operation电视原理Theory of Circuitry电路理论Turbulent Flow Simulation and Application湍流模拟及其应用Visual C++Programming Visual C++程序设计Windows NT Operating System Principles Windows NT操作系统原理Word Processing数据处理生物物理学Biophysics真空冷冻干燥技术Vacuum Freezing&Drying Technology16位微机16Digit MicrocomputerALGOL语言ALGOL LanguageBASIC语言BASIC LanguageBASIC语言及应用BASIC Language&ApplicationC语言C LanguageCAD概论Introduction to CADCAD/CAM CAD/CAMCOBOL语言COBOL LanguageCOBOL语言程序设计COBOL Language Program DesigningC与UNIX环境C Language&Unix EnvironmentC语言与生物医学信息处理C Language&Biomedical Information Processing dBASEⅢ课程设计C ourse Exercise in dBASEⅢFORTRAN语言FORTRAN LanguageIBM-PC/XT Fundamentals of Microcomputer IBM-PC/XTIBM-PC微机原理Fundamentals of Microcomputer IBM-PCLSI设计基础Basic of LSI DesigningPASCAL大型作业PASCAL Wide Range WorkingPASCAL课程设计Course Exercise in PASCALX射线与电镜X-ray&Electric MicroscopeZ-80汇编语言程序设计Z-80Pragramming in Assembly Languages板壳理论Plate Theory板壳力学Plate Mechanics半波实验Semiwave Experiment半导体变流技术Semiconductor Converting Technology半导体材料Semiconductor Materials半导体测量Measurement of Semiconductors半导体瓷敏元件Semiconductor Porcelain-Sensitive Elements半导体光电子学Semiconductor Optic Electronics半导体化学Semiconductor Chemistry半导体激光器Semiconductor Laser Unit半导体集成电路Semiconductor Integrated Circuitry半导体理论Semiconductive Theory半导体器件Semiconductor Devices半导体器件工艺原理Technological Fundamentals of Semiconductor Device半导体物理Semiconductor Physics半导体专业Semiconduction Specialty半导体专业实验Specialty Experiment of Semiconductor薄膜光学Film Optics报告文学专题Special Subject On Reportage报刊编辑学Newspaper&Magazine Editing报纸编辑学Newspaper Editing泵与风机Pumps and Fans泵与水机Pumps&Water Turbines毕业设计Graduation Thesis编译方法Methods of Compiling编译技术Technique of Compiling编译原理Fundamentals of Compiling变电站的微机检测与控制Computer Testing&Control in TransformerSubstation变分法与张量Calculus of Variations&Tensor变分学Calculus of Variations变质量系统热力学与新型回转压Variable Quality System Thermal Mechanics &Neo-Ro表面活性物质Surface Reactive Materials并行算法Parallel Algorithmic波谱学Wave Spectrum材料的力学性能测试Measurement of Material Mechanical Performance 材料力学Mechanics of Materials财务成本管理Financial Cost Management财政学Public Finance财政与金融Finance&Banking财政与信贷Finance&Credit操作系统Disk Operating System操作系统课程设计Course Design in Disk Operating System操作系统原理Fundamentals of Disk Operating System策波测量技术Technique of Whip Wave Measurement测量原理与仪器设计Measurement Fundamentals&Meter Design测试技术Testing Technology测试与信号变换处理Testing&Signal Transformation Processing产业经济学Industrial Economy产业组织学Industrial Organization Technoooligy场论Field Theory常微分方程Ordinary Differentical Equations超导磁体及应用Superconductive Magnet&Application超导及应用Superconductive&Application超精微细加工Super-Precision&Minuteness Processing城市规划原理Fundamentals of City Planning城市社会学Urban Sociology成组技术Grouping Technique齿轮啮合原理Principles of Gear Connection冲击测量及误差Punching Measurement&Error冲压工艺Sheet Metal Forming Technology抽象代数Abstract Algebra传动概论Introduction to Transmission传感器与检测技术Sensors&Testing Technology传感器原理Fundamentals of Sensors传感器原理及应用Fundamentals of Sensors&Application传热学Heat Transfer传坳概论Introduction to Pass Col船舶操纵Ship Controling船舶电力系统Ship Electrical Power System船舶电力系统课程设计Course Exercise in Ship Electrical Power System 船舶电气传动自动化Ship Electrified Transmission Automation船舶电站Ship Power Station船舶动力装置Ship Power Equipment船舶概论Introduction to Ships船舶焊接与材料Welding&Materials on Ship船舶机械控制技术Mechanic Control Technology for Ships船舶机械拖动Ship Mechamic Towage船舶建筑美学Artistic Designing of Ships船舶结构力学Structual Mechamics for Ships船舶结构与制图Ship Structure&Graphing船舶静力学Ship Statics船舶强度与结构设计Designing Ship Intensity&Structure船舶设计原理Principles of Ship Designing船舶推进Ship Propeling船耙“?Ship Swaying船舶阻力Ship Resistance船体建造工艺Ship-Building Technology船体结构Ship Structure船体结构图Ship Structure Graphing船体振动学Ship Vibration创造心理学Creativity Psychology磁测量技术Magnetic Measurement Technology磁传感器Magnetic Sensor磁存储设备设计原理Fundamental Design of Magnetic Memory Equipment 磁记录技术Magnetographic Technology磁记录物理Magnetographic Physics磁路设计与场计算Magnetic Path Designing&Magnetic Field Calculati 磁盘控制器Magnetic Disk Controler磁性材料Magnetic Materials磁性测量Magnetic Measurement磁性物理Magnetophysics磁原理及应用Principles of Catalyzation&Application大电流测量Super-Current Measurement大电源测量Super-Power Measurement大机组协调控制Coordination&Control of Generator Networks大跨度房屋结构Large-Span House structure大型锅炉概况Introduction to Large-Volume Boilers大型火电机组控制Control of Large Thermal Power Generator Networks大学德语College German大学俄语College Russian大学法语College French大学日语College Japanese大学英语College English大学语文College Chinese大众传播学Mass Media代用运放电路Simulated Transmittal Circuit单片机原理Fundamentals of Mono-Chip Computers单片机原理及应用Fundamentals of Mono-Chip Computers&Applications 弹性力学Theory of Elastic Mechanics当代国际关系Contemporary International Relationship当代国外社会思维评价Evaluation of Contemporary Foreign Social Thought当代文学Contemporary Literature当代文学专题Topics on Contemporary Literature当代西方哲学Contemporary Western Philosophy当代戏剧与电影Contemporary Drama&Films党史History of the Party导波光学Wave Guiding Optics等离子体工程Plasma Engineering低频电子线路Low Frequency Electric Circuit低温传热学Cryo Conduction低温固体物理Cryo Solid Physics低温技术原理与装置Fundamentals of Cryo Technology&Equipment低温技术中的微机原理Priciples of Microcomputer in Cryo Technology 低温绝热Cryo Heat Insulation低温气体制冷机Cryo Gas Refrigerator低温热管Cryo Heat Tube低温设备Cryo Equipment低温生物冻干技术Biological Cryo Freezing Drying Technology低温实验技术Cryo Experimentation Technology低温物理导论Cryo Physic Concepts低温物理概论Cryo Physic Concepts低温物理概念Cryo Physic Concepts低温仪表及测试Cryo Meters&Measurement低温原理Cryo Fundamentals低温中的微机应用Application of Microcomputer in Cryo Technology 低温装置Cryo Equipment低噪声电子电路Low-Noise Electric Circuit低噪声电子设计Low-Noise Electronic Designing低噪声放大与弱检Low-Noise Increasing&Decreasing低噪声与弱信号检测Detection of Low Noise&Weak Signals地理Geography。
复变函数教案7.3.2（五篇）
复变函数教案7.3.2（五篇）第一篇：复变函数教案7.3.2第七章共形映射教学课题：第三节黎曼存在定理教学目的：1、充分理解黎曼存在定理极其重要意义；2、充分了解边界对应定理；3、了解线性变换的不动点；4、掌握线性变换的保形性、保圆性、保交比性、保对称点性。
教学重点：线性变换的保形性、保圆性、保交比性、保对称点性教学难点：线性变换的保交比性、保对称点性教学方法：启发式、讨论式教学手段：多媒体与板书相结合教材分析：由于线性变换的保形性、保圆性、保交比性和保对称点性，它在处理边界为圆弧或直线的区域的变换中，起着重要的作用。
教学过程：8、实例：在解决某些实际问题以及数学理论问题时，我们往往要把有关解析函数的定义域保形映射成较简单的区域，以便进行研究及计算，我们下面给出几个实例。
例1、求作一个单叶函数，把半圆盘|z|<1，Imz>0保形映射成上半平面。
解：因为圆及实轴在-1及+1直交，所以作分式线性函数z+1，w'=z-1把-1及+1分别映射成w'平面上的0及∞两点，于是把|z|=1及Imz=0映射成w'平面上在原点互相直交上面的两条直线。
由于分式线性函数中的系数是实数，所以z平面上的实轴映射成w'平面上的实轴；又由于z=0映射成w'=-1，半圆的直径AC映射成w'平面上的负半实轴。
yDABCxCB(-1)OA(0)CD(-1)A(0)B(1)OD(-i)Cz-平面w'-平面w-平面i+1显然圆|z|=1映射成w'平面上的虚轴；又由于z=i映射成w'==-i，i-1半圆ADC映射成w'平面上的下半虚轴。
根据在保形映射下区域及其边界之间的对应关系，已给半圆盘映射到w'平面上的的区域，应当在周界ABC的左方，因此它是第三象限π最后作映射<argw'<π2。
w=w'2，当w'在第三象限中变化时，argw'在2π及3π之间变化。
常用课程的英文翻译
常用课程的英文翻译高等数学 Advanced Mathematics工程数学 Engineering Mathematics中国革命史 History of Chinese Revolutionary程序设计 Programming Design机械制图 Mechanical Drawing社会学 Sociology体育 Physical Education物理实验 Physical Experiments电路 Circuit物理 Physics哲学 Philosophy法律基础 Basis of Law理论力学 Theoretical Mechanics材料力学 Material Mechanics电机学 Electrical Machinery政治经济学 Political Economy自动控制理论 Automatic Control Theory模拟电子技术基础 Basis of Analogue Electronic Technique数字电子技术 Digital Electrical Technique电磁场 Electromagnetic Field微机原理 Principle of Microcomputer企业管理 Business Management专业英语 Specialized English可编程序控制技术 Controlling Technique for Programming金工实习 Metal Working Practice毕业实习 Graduation Practice毕业设计 Graduation ProjectXX课程设计 Project of XX电力系统稳态分析 Steady-State Analysis of Power System电力系统暂态分析 Transient-State Analysis of Power System电力系统继电保护原理 Principle of Electrical System's Relay Prot ection电力系统元件保护原理 Protection Principle of Power System 's El ement电力系统内部过电压 Past Voltage within Power system大学英语 College English高等代数 Advanced AlgebraPASCAL语言 PASCAL LanguageC语言 C Language汇编语言 Assembly Language操作系统 Operating System微机接口技术 Microcomputer Interface Technique数据结构 Data Structure计算机网络 Computer Network计算机控制技术 Computer Cortrol Technique数据库技术 Database Technique专家系统 Expert System毕业设计 Graduation Project高等数学 Advanced Mathematics体育 Physical Education德育 Moralism机械制图 Mechanical Drawing工程数学 Engineering Mathematics电工学 Electrotechnics计算方法 Computing Method微机原理 Principle of Microcomputer概率学 Probability信息系统分析与设计 Information System Analyse and design 编译方法 Translate and edit Method专业英语阅读 Specialized English Reading普通物理学 General Physics数字电子技术 Digital Electrical Technique高等代数 Elementary Algebra数学分析 Mathematical Analysis中共党史 History of the Chinese Communist Party算法语言 Algorithmic Language体育 Physical Education英语 English Language力学实验 Mechanics-Practical德育 Moral EducationPASCAL语言 PASCAL Language政治经济学 Political Economics电学实验 Electrical Experiment数字逻辑 Mathematical Logic普通物理 General Physics计算方法 Computing Method离散数学 Discrete Mathematics汇编原理 Principles of Assembly概率与统计 Probability & Statistics数据结构 Data Structure哲学 Philosophy微机原理 Principles of Microcomputer编译方法 Compilation Method系统结构 System Structure操作系统原理 Principles of Operating System文献检索 document．tion Retrieval数据库概论 Introduction to Database网络原理 Principles of Network人工智能 Artificial Intelligence算法分析 Algorithm Analysis毕业论文 Graduation Thesis－－－－－－－－－－－－－－－－－－－－－自然辩证法 Natural Dialectics英语 English Language数理统计 Numeral Statistic/Numerical Statistic人工智能及其体系结构 Artificial Intelligence & its Architecture高级数理逻辑 Advanced Numerical Logic高级程序设计语言的设计与实现 Advanced Programming Language 's Design &Implementation软件工程基础 Foundation of Software Engineering专业英语 Specialized English计算机网络 Computer Network高级计算机体系结构 Advanced Computer ArchitectureIBM汇编及高级语言的接口 IBM Assembly & its Interfaces with A dvancedProgramming Languages分布式计算机系统 Distributed Computer System / Distributed Sy stem计算机网络实验 Computer Network ExperimentAdvanced Computational Fluid Dynamics 高等计算流体力学Advanced Mathematics 高等数学Advanced Numerical Analysis 高等数值分析Algorithmic Language 算法语言Analogical Electronics 模拟电子电路Artificial Intelligence Programming 人工智能程序设计Audit 审计学Automatic Control System 自动控制系统Automatic Control Theory 自动控制理论Auto-Measurement Technique 自动检测技术Basis of Software Technique 软件技术基础Calculus 微积分Catalysis Principles 催化原理Chemical Engineering document．nbspRetrieval 化工文献检索Circuitry 电子线路College English 大学英语College English Test (Band 4) CET-4College English Test (Band 6) CET-6College Physics 大学物理Communication Fundamentals 通信原理Comparative Economics 比较经济学Complex Analysis 复变函数论Computational Method 计算方法Computer Graphics 图形学原理computer organization 计算机组成原理computer architecture 计算机系统结构Computer Interface Technology 计算机接口技术Contract Law 合同法Cost Accounting 成本会计Circuit Measurement Technology 电路测试技术Database Principles 数据库原理Design & Analysis System 系统分析与设计Developmental Economics 发展经济学discrete mathematics 离散数学Digital Electronics 数字电子电路Digital Image Processing 数字图像处理Digital Signal Processing 数字信号处理Econometrics 经济计量学Economical Efficiency Analysis for Chemical Technology 化工技术经济分析Economy of Capitalism 资本主义经济Electromagnetic Fields & Magnetic Waves 电磁场与电磁波Electrical Engineering Practice 电工实习Enterprise Accounting 企业会计学Equations of Mathematical Physics 数理方程Experiment of College Physics 物理实验Experiment of Microcomputer 微机实验Experiment in Electronic Circuitry 电子线路实验Fiber Optical Communication System 光纤通讯系统Finance 财政学Financial Accounting 财务会计Fine Arts 美术Functions of a Complex Variable 单复变函数Functions of Complex Variables 复变函数Functions of Complex Variables & Integral Transformations 复变函数与积分变换Fundamentals of Law 法律基础Fuzzy Mathematics 模糊数学General Physics 普通物理Graduation Project(Thesis) 毕业设计（论文）Graph theory 图论Heat Transfer Theory 传热学History of Chinese Revolution 中国革命史Industrial Economics 工业经济学Information Searches 情报检索Integral Transformation 积分变换Intelligent robot(s); Intelligence robot 智能机器人International Business Administration 国际企业管理International Clearance 国际结算International Finance 国际金融International Relation 国际关系International Trade 国际贸易Introduction to Chinese Tradition 中国传统文化Introduction to Modern Science & Technology 当代科技概论Introduction to Reliability Technology 可靠性技术导论Java Language Programming Java 程序设计Lab of General Physics 普通物理实验Linear Algebra 线性代数Management Accounting 管理会计学Management Information System 管理信息系统Mechanic Design 机械设计Mechanical Graphing 机械制图Merchandise Advertisement 商品广告学Metalworking Practice 金工实习Microcomputer Control Technology 微机控制技术Microeconomics & Macroeconomics 西方经济学Microwave Technique 微波技术Military Theory 军事理论Modern Communication System 现代通信系统Modern Enterprise System 现代企业制度Monetary Banking 货币银行学Motor Elements and Power Supply 电机电器与供电Moving Communication 移动通讯Music 音乐Network Technology 网络技术Numeric Calculation 数值计算Oil Application and Addition Agent 油品应用及添加剂Operation & Control of National Economy 国民经济运行与调控Operational Research 运筹学Optimum Control 最优控制Petroleum Chemistry 石油化学Petroleum Engineering Technique 石油化工工艺学Philosophy 哲学Physical Education 体育Political Economics 政治经济学principle of compiling 编译原理Primary Circuit （反应堆）一回路Principle of Communication 通讯原理Principle of Marxism 马克思主义原理Principle of Mechanics 机械原理Principle of Microcomputer 微机原理Principle of Sensing Device 传感器原理Principle of Single Chip Computer 单片机原理Principles of Management 管理学原理Probability Theory & Stochastic Process 概率论与随机过程Procedure Control 过程控制Programming with Pascal Language Pascal语言编程Programming with C Language C语言编程Property Evaluation 工业资产评估Public Relation 公共关系学Pulse & Numerical Circuitry 脉冲与数字电路Refinery Heat Transfer Equipment 炼厂传热设备Satellite Communications 卫星通信Semiconductor Converting Technology 半导体变流技术Set Theory 集合论Signal & Linear System 信号与线性系统Social Research 社会调查software engineering 软件工程SPC Exchange Fundamentals 程控交换原理Specialty English 专业英语Statistics 统计学Stock Investment 证券投资学Strategic Management for Industrial Enterprises 工业企业战略管理Technological Economics 技术经济学Television Operation 电视原理Theory of Circuitry 电路理论Turbulent Flow Simulation and Application 湍流模拟及其应用Visual C++ Programming Visual C++程序设计Windows NT Operating System Principles Windows NT操作系统原理Word Processing 数据处理生物物理学 Biophysics真空冷冻干燥技术 Vacuum Freezing & Drying Technology16位微机 16 Digit MicrocomputerALGOL语言 ALGOL LanguageBASIC 语言 BASIC LanguageBASIC 语言及应用 BASIC Language & ApplicationC 语言 C LanguageCAD 概论 Introduction to CADCAD/CAM CAD/CAMCOBOL语言 COBOL LanguageCOBOL语言程序设计 COBOL Language Program DesigningC与UNIX环境 C Language & Unix EnvironmentC语言与生物医学信息处理 C Language & Biomedical Informatio n ProcessingdBASE Ⅲ课程设计 C ourse Exercise in dBASE ⅢFORTRAN语言 FORTRAN LanguageIBM-PC/XT Fundamentals of Microcomputer IBM-PC/XTIBM-PC微机原理 Fundamentals of Microcomputer IBM-PCLSI设计基础 Basic of LSI DesigningPASCAL大型作业 PASCAL Wide Range WorkingPASCAL课程设计 Course Exercise in PASCALX射线与电镜 X-ray & Electric MicroscopeZ-80汇编语言程序设计 Z-80 Pragramming in Assembly Languag es板壳理论 Plate Theory板壳力学 Plate Mechanics半波实验 Semiwave Experiment半导体变流技术 Semiconductor Converting Technology半导体材料 Semiconductor Materials半导体测量 Measurement of Semiconductors半导体瓷敏元件 Semiconductor Porcelain-Sensitive Elements半导体光电子学 Semiconductor Optic Electronics半导体化学 Semiconductor Chemistry半导体激光器 Semiconductor Laser Unit半导体集成电路 Semiconductor Integrated Circuitry半导体理论 Semiconductive Theory半导体器件 Semiconductor Devices半导体器件工艺原理 Technological Fundamentals of Semiconduc tor Device半导体物理 Semiconductor Physics半导体专业 Semiconduction Specialty半导体专业实验 Specialty Experiment of Semiconductor薄膜光学 Film Optics报告文学专题 Special Subject On Reportage报刊编辑学 Newspaper & Magazine Editing报纸编辑学 Newspaper Editing泵与风机 Pumps and Fans泵与水机 Pumps & Water Turbines毕业设计 Graduation Thesis编译方法 Methods of Compiling编译技术 Technique of Compiling编译原理 Fundamentals of Compiling变电站的微机检测与控制 Computer Testing & Control in Transfor merSubstation变分法与张量 Calculus of Variations & Tensor变分学 Calculus of Variations变质量系统热力学与新型回转压 Variable Quality System Therma l Mechanics &Neo-Ro表面活性物质 Surface Reactive Materials并行算法 Parallel Algorithmic波谱学 Wave Spectrum材料的力学性能测试 Measurement of Material Mechanical Perfor mance材料力学 Mechanics of Materials财务成本管理 Financial Cost Management财政学 Public Finance财政与金融 Finance & Banking财政与信贷 Finance & Credit操作系统 Disk Operating System操作系统课程设计 Course Design in Disk Operating System操作系统原理 Fundamentals of Disk Operating System策波测量技术 Technique of Whip Wave Measurement测量原理与仪器设计 Measurement Fundamentals & Meter Desig n测试技术 Testing Technology测试与信号变换处理 Testing & Signal Transformation Processing 产业经济学 Industrial Economy产业组织学 Industrial Organization Technoooligy场论 Field Theory常微分方程 Ordinary Differentical Equations超导磁体及应用 Superconductive Magnet & Application超导及应用 Superconductive & Application超精微细加工 Super-Precision & Minuteness Processing城市规划原理 Fundamentals of City Planning城市社会学 Urban Sociology成组技术 Grouping Technique齿轮啮合原理 Principles of Gear Connection冲击测量及误差 Punching Measurement & Error冲压工艺 Sheet Metal Forming Technology抽象代数 Abstract Algebra传动概论 Introduction to Transmission传感器与检测技术 Sensors & Testing Technology传感器原理 Fundamentals of Sensors传感器原理及应用 Fundamentals of Sensors & Application传热学 Heat Transfer传坳概论 Introduction to Pass Col船舶操纵 Ship Controling船舶电力系统 Ship Electrical Power System船舶电力系统课程设计 Course Exercise in Ship Electrical Power S ystem船舶电气传动自动化 Ship Electrified Transmission Automation 船舶电站 Ship Power Station船舶动力装置 Ship Power Equipment船舶概论 Introduction to Ships船舶焊接与材料 Welding & Materials on Ship船舶机械控制技术 Mechanic Control Technology for Ships船舶机械拖动 Ship Mechamic Towage船舶建筑美学 Artistic Designing of Ships船舶结构力学 Structual Mechamics for Ships船舶结构与制图 Ship Structure & Graphing船舶静力学 Ship Statics船舶强度与结构设计 Designing Ship Intensity & Structure船舶设计原理 Principles of Ship Designing船舶推进 Ship Propeling船舶摇摆 Ship Swaying船舶阻力 Ship Resistance船体建造工艺 Ship-Building Technology船体结构 Ship Structure船体结构图 Ship Structure Graphing船体振动学 Ship Vibration创造心理学 Creativity Psychology磁测量技术 Magnetic Measurement Technology磁传感器 Magnetic Sensor磁存储设备设计原理 Fundamental Design of Magnetic Memory E quipment磁记录技术 Magnetographic Technology磁记录物理 Magnetographic Physics磁路设计与场计算 Magnetic Path Designing & Magnetic Field Cal culati磁盘控制器 Magnetic Disk Controler磁性材料 Magnetic Materials磁性测量 Magnetic Measurement磁性物理 Magnetophysics磁原理及应用 Principles of Catalyzation & Application大电流测量 Super-Current Measurement大电源测量 Super-Power Measurement大机组协调控制 Coordination & Control of Generator Networks 大跨度房屋结构 Large-Span House structure大型锅炉概况 Introduction to Large-Volume Boilers大型火电机组控制 Control of Large Thermal Power Generator Ne tworks大学德语 College German大学俄语 College Russian大学法语 College French大学日语 College Japanese大学英语 College English大学语文 College Chinese大众传播学 Mass Media代用运放电路 Simulated Transmittal Circuit单片机原理 Fundamentals of Mono-Chip Computers单片机原理及应用 Fundamentals of Mono-Chip Computers & App lications弹性力学 Theory of Elastic Mechanics当代国际关系 Contemporary International Relationship当代国外社会思维评价 Evaluation of Contemporary Foreign Socia l Thought当代文学 Contemporary Literature当代文学专题 Topics on Contemporary Literature当代西方哲学 Contemporary Western Philosophy当代戏剧与电影 Contemporary Drama & Films党史 History of the Party导波光学 Wave Guiding Optics等离子体工程 Plasma Engineering低频电子线路 Low Frequency Electric Circuit低温传热学 Cryo Conduction低温固体物理 Cryo Solid Physics低温技术原理与装置 Fundamentals of Cryo Technology & Equipm ent低温技术中的微机原理 Priciples of Microcomputer in Cryo Techno logy低温绝热 Cryo Heat Insulation低温气体制冷机 Cryo Gas Refrigerator低温热管 Cryo Heat Tube低温设备 Cryo Equipment低温生物冻干技术 Biological Cryo Freezing Drying Technology低温实验技术 Cryo Experimentation Technology低温物理导论 Cryo Physic Concepts低温物理概论 Cryo Physic Concepts低温物理概念 Cryo Physic Concepts低温仪表及测试 Cryo Meters & Measurement低温原理 Cryo Fundamentals低温中的微机应用 Application of Microcomputer in Cryo Technol ogy低温装置 Cryo Equipment低噪声电子电路 Low-Noise Electric Circuit低噪声电子设计 Low-Noise Electronic Designing低噪声放大与弱检 Low-Noise Increasing & Decreasing低噪声与弱信号检测 Detection of Low Noise & Weak Signals地理 Geography第二次世界大战史 History of World War II电测量技术 Electric Measurement Technology电厂计算机控制系统 Computer Control System in Power Plants 电磁测量实验技术 Electromagnetic Measurement Experiment & Technology电磁场计算机 Electromagnetic Field Computers电磁场理论 Theory of Electromagnetic Fields电磁场数值计算 Numerical Calculation of Electromagnetic Fields电磁场与电磁波 Electromagnetic Fields & Magnetic Waves电磁场与微波技术 Electromagnetic Fields & Micro-Wave Technol ogy电磁场中的数值方法 Numerical Methods in Electromagnetic Field s电磁场中的数值计算 Numerical Calculation in Electromagnetic Fi elds电磁学 Electromagnetics电动力学 Electrodynamics电镀 Plating电分析化学 Electro-Analytical Chemistry电工测试技术基础 Testing Technology of Electrical Engineering 电工产品学 Electrotechnical Products电工电子技术基础 Electrical Technology & Electrical Engineering电工电子学 Electronics in Electrical Engineering电工基础 Fundamental Theory of Electrical Engineering电工基础理论 Fundamental Theory of Electrical Engineering电工基础实验 Basic Experiment in Electrical Engineering电工技术 Electrotechnics电工技术基础 Fundamentals of Electrotechnics电工实习 Electrical Engineering Practice电工实验技术基础 Experiment Technology of Electrical Engineeri ng电工学 Electrical Engineering电工与电机控制 Electrical Engineering & Motor Control电弧电接触 Electrical Arc Contact电弧焊及电渣焊 Electric Arc Welding & Electroslag Welding电化学测试技术 Electrochemical Measurement Technology电化学工程 Electrochemical Engineering电化学工艺学 Electrochemical Technology电机测试技术 Motor Measuring Technology电机电磁场的分析与计算 Analysis & Calculation of Electrical Moto r &Electromagnetic Fields电机电器与供电 Motor Elements and Power Supply电机课程设计 Course Exercise in Electric Engine电机绕组理论 Theory of Motor Winding电机绕组理论及应用 Theory & Application of Motor Winding电机设计 Design of Electrical Motor电机瞬变过程 Electrical Motor Change Processes电机学 Electrical Motor电机学及控制电机 Electrical Machinery Control & Technology电机与拖动 Electrical Machinery & Towage电机原理 Principle of Electric Engine电机原理与拖动 Principles of Electrical Machinery & Towage电机专题 Lectures on Electric Engine电接触与电弧 Electrical Contact & Electrical Arc电介质物理 Dielectric Physics电镜 Electronic Speculum电力电子电路 Power Electronic Circuit电力电子电器 Power Electronic Equipment电力电子器件 Power Electronic Devices电力电子学 Power Electronics电力工程 Electrical Power Engineering电力生产技术 Technology of Electrical Power Generation电力生产优化管理 Optimal Management of Electrical Power Gen eration电力拖动基础 Fundamentals for Electrical Towage电力拖动控制系统 Electrical Towage Control Systems电力系统 Power Systems电力系统电源最优化规划 Optimal Planning of Power Source in a P ower System电力系统短路 Power System Shortcuts电力系统分析 Power System Analysis电力系统规划 Power System Planning电力系统过电压 Hyper-Voltage of Power Systems电力系统继电保护原理 Power System Relay Protection电力系统经济分析 Economical Analysis of Power Systems电力系统经济运行 Economical Operation of Power Systems电力系统可靠性 Power System Reliability电力系统可靠性分析 Power System Reliability Analysis电力系统无功补偿及应用 Non-Work Compensation in Power Syst ems & Applicati电力系统谐波 Harmonious Waves in Power Systems电力系统优化技术 Optimal Technology of Power Systems电力系统优化设计 Optimal Designing of Power Systems电力系统远动 Operation of Electric Systems电力系统远动技术 Operation Technique of Electric Systems电力系统运行 Operation of Electric Systems电力系统自动化 Automation of Electric Systems电力系统自动装置 Power System Automation Equipment电路测试技术 Circuit Measurement Technology电路测试技术基础 Fundamentals of Circuit Measurement Techno logy电路测试技术及实验 Circuit Measurement Technology & Experim ents电路分析基础 Basis of Circuit Analysis电路分析基础实验 Basic Experiment on Circuit Analysis电路分析实验 Experiment on Circuit Analysis电路和电子技术 Circuit and Electronic Technique电路理论 Theory of Circuit电路理论基础 Fundamental Theory of Circuit电路理论实验 Experiments in Theory of Circuct电路设计与测试技术 Circuit Designing & Measurement Technolo gy电器学 Electrical Appliances电器与控制 Electrical Appliances & Control电气控制技术 Electrical Control Technology电视接收技术 Television Reception Technology电视节目 Television Porgrams电视节目制作 Television Porgram Designing电视新技术 New Television Technology电视原理 Principles of Television电网调度自动化 Automation of Electric Network Management电影艺术 Art of Film Making电站微机检测控制 Computerized Measurement & Control of Pow er Statio电子材料与元件测试技术 Measuring Technology of Electronic Mat erial andElement电子材料元件 Electronic Material and Element电子材料元件测量 Electronic Material and Element Measurement电子测量与实验技术 Technology of Electronic Measurement & Ex periment电子测试 Electronic Testing电子测试技术 Electronic Testing Technology电子测试技术与实验 Electronic Testing Technology & Experiment电子机械运动控制技术 Technology of Electronic Mechanic Movem ent Control电子技术 Technology of Electronics电子技术腐蚀测试中的应用 Application of Electronic Technology i n ErosionMeasurement电子技术基础 Basic Electronic Technology电子技术基础与实验 Basic Electronic Technology & Experiment 电子技术课程设计 Course Exercise in Electronic Technology电子技术实验 Experiment in Electronic Technology电子理论实验 Experiment in Electronic Theory电子显微分析 Electronic Micro-Analysis电子显微镜 Electronic Microscope电子线路 Electronic Circuit电子线路设计与测试技术 Electronic Circuit Design & Measuremen t Technology电子线路实验 Experiment in Electronic Circuit电子照相技术 Electronic Photographing Technology雕塑艺术欣赏 Appreciation of Sculptural Art调节装置 Regulation Equipment动态规划 Dynamic Programming动态无损检测 Dynamic Non-Destruction Measurement动态信号分析与仪器 Dynamic Signal Analysis & Apparatus锻压工艺 Forging Technology锻压机械液压传动 Hydraulic Transmission in Forging Machinery 锻压加热设备 Forging Heating Equipment锻压设备专题 Lectures on Forging Press Equipments锻压系统动力学 Dynamics of Forging System锻造工艺 Forging Technology断裂力学 Fracture Mechanics对外贸易概论 Introduction to International Trade多层网络方法 Multi-Layer Network Technology多目标优化方法 Multipurpose Optimal Method多项距阵 Multi-Nominal Matrix多元统计分析 Multi-Variate Statistical Analysis发电厂 Power Plant发电厂电气部分 Electric Elements of Power Plants法律基础 Fundamentals of Law法学概论 An Introduction to Science of Law法学基础 Fundamentals of Science of Law翻译 Translation翻译理论与技巧 Theory & Skills of Translation泛函分析 Functional Analysis房屋建筑学 Architectural Design & Construction非电量测量 Non-Electricity Measurement非金属材料 Non-Metal Materials非线性采样系统 Non-Linear Sampling System非线性光学 Non-Linear Optics非线性规划 Non-Linear Programming非线性振荡 Non-Linear Ocsillation非线性振动 Non-Linear Vibration沸腾燃烧 Boiling Combustion分析化学 Analytical Chemistry分析化学实验 Analytical Chemistry Experiment分析力学 Analytical Mechanics风机调节 Fan Regulation风机调节.使用.运转 Regulation,Application & Operation of Fans 风机三元流动理论与设计 Tri-Variate Movement Theory & Design of Fans风能利用 Wind Power Utilization腐蚀电化学实验 Experiment in Erosive Electrochemistry复变函数 Complex Variables Functions复变函数与积分变换 Functions of Complex Variables & Integral Transformation复合材料力学 Compound Material Mechanics傅里叶光学 Fourier Optics概率论 Probability Theory概率论与数理统计 Probability Theory & Mathematical Statistics 概率论与随机过程 Probability Theory & Stochastic Process钢笔画 Pen Drawing钢的热处理 Heat-Treatment of Steel钢结构 Steel Structure钢筋混凝土 Reinforced Concrete钢筋混凝土及砖石结构 Reinforced Concrete & Brick Structure钢砼结构 Reinforced Concrete Structure高层建筑基础设计 Designing bases of High Rising Buildings高层建筑结构设计 Designing Structures of High Rising Buildings高等材料力学 Advanced Material Mechanics高等代数 Advanced Algebra高等教育管理 Higher Education Management高等教育史 History of Higher Education高等教育学 Higher Education高等数学 Advanced Mathematics高电压技术 High-Voltage Technology高电压测试技术 High-Voltage Test Technology高分子材料 High Polymer Material高分子材料及加工 High Polymer Material & Porcessing高分子化学 High Polymer Chemistry高分子化学实验 High Polymer Chemistry Experiment高分子物理 High Polymer Physics高分子物理实验 High Polymer Physics Experiment高级英语听说 Advanced English Listening & Speaking高能密束焊 High Energy-Dense Beam Welding高频电路 High-Frenquency Circuit高频电子技术 High-Frenquency Electronic Technology高频电子线路 High-Frenquency Electronic Circuit高压测量技术 High-Voltage Measurement Technology高压测试技术 High-Voltage Testing Technology高压电场的数值计算 Numerical Calculation in High-Voltage Elect ronic Field高压电器 High-Voltage Electrical Appliances高压绝缘 High-Voltage Insulation高压实验 High-Voltage Experimentation高压试验技术 High-Voltage Experimentation Technology工程材料的力学性能测试 Mechanic Testing of Engineering Materi als工程材料及热处理 Engineering Material and Heat Treatment工程材料学 Engineering Materials工程测量 Engineering Surveying工程测试技术 Engineering Testing Technique工程测试实验 Experiment on Engineering Testing工程测试信息 Information of Engineering Testing工程动力学 Engineering Dynamics工程概论 Introduction to Engineering工程概预算 Project Budget工程经济学 Engineering Economics工程静力学 Engineering Statics工程力学 Engineering Mechanics工程热力学 Engineering Thermodynamics工程项目评估 Engineering Project Evaluation工程优化方法 Engineering Optimizational Method工程运动学 Engineering Kinematics工程造价管理 Engineering Cost Management工程制图 Graphing of Engineering工业分析 Industrial Analysis工业锅炉 Industrial Boiler工业会计学 Industrial Accounting工业机器人 Industrial Robot工业技术基础 Basic Industrial Technology工业建筑设计原理 Principles of Industrial Building Design工业经济理论 Industrial Economic Theory工业经济学 Industrial Economics工业企业财务管理 Industrial Enterprise Financial Management 工业企业财务会计 Accounting in Industrial Enterprises工业企业管理 Industrial Enterprise Management工业企业经营管理 Industrial Enterprise Adminstrative Managem ent工业社会学 Industrial Sociology工业心理学 Industrial Psychology工业窑炉 Industrial Stoves工艺过程自动化 Technics Process Automation公差 Common Difference公差技术测量 Technical Measurement with Common Difference 公差与配合 Common Difference & Cooperation公共关系学 Public Relations公文写作 document．nbspWriting古代汉语 Ancient Chinese古典文学作品选读 Selected Readings in Classical Literature固体激光 Solid State Laser固体激光器件 Solid Laser Elements固体激光与电源 Solid State Laser & Power Unit固体物理 Solid State Physics管理概论 Introduction to Management管理经济学 Management Economics管理数学 Management Mathematics管理系统模拟 Management System Simulation管理心理学 Management Psychology管理信息系统 Management Information Systems光波导理论 Light Wave Guide Theory光电技术 Photoelectric Technology光电信号处理 Photoelectric Signal Processing光电信号与系统分析 Photoelectric Signal & Systematic Analysis 光辐射探测技术 Ray Radiation Detection Technology光谱 Spectrum光谱分析 Spectral Analysis光谱学 Spectroscopy光纤传感 Fibre Optical Sensors光纤传感器 Fibre Optical Sensors光纤传感器基础 Fundamentals of Fibre Optical Sensors光纤传感器及应用 Fibre Optical Sensors & Applications光纤光学课程设计 Course Design of Fibre Optical光纤技术实验 Experiments in Fibre Optical Technology光纤通信基础 Basis of Fibre Optical Communication光学 Optics光学测量 Optical Measurement光学分析法 Optical Analysis Method光学计量仪器设计 Optical Instrument Gauge Designing光学检测 Optical Detection光学设计 Optical Design光学信息导论 Introduction of Optical Infomation光学仪器设计 Optical Instrument Designing光学仪器与计量仪器设计 Optical Instrument & Gauge Instrumen t Designing光学仪器装配与校正 Optical Instrument Installation & Adjustme nt广播编辑学 Broadcast Editing广播新闻 Broadcast Journalism广播新闻采写 Broadcast Journalism Collection & Composition广告学 Advertisement锅炉燃烧理论 Theory of Boiler Combustion锅炉热交换传热强化 Boiler Heat Exchange,Condction & Intensific ation锅炉原理 Principles of Boiler国际金融 International Finance国际经济法 International Economic Law国际贸易 International Trade国际贸易地理 International Trade Geography国际贸易实务 International Trade Affairs国际市场学 International Marketing国际市场营销 International Marketing国民经济计划 National Economical Planning国外社会学理论 Overseas Theories of Sociology过程(控制)调节装置 Process(Control) Adjustment Device过程调节系统 Process Adjustment System过程控制 Process Control过程控制系统 Process Control System海洋测量 Ocean Surveying海洋工程概论 Introduction to Ocean Engineering函数分析 Functional Analysis焊接方法 Welding Method焊接方法及设备 Welding Method & Equipment焊接检验 Welding Testing焊接结构 Welding Structure焊接金相 Welding Fractography焊接金相分析 Welding Fractography Analysis焊接冶金 Welding Metallurgy焊接原理 Fundamentals of Welding焊接原理及工艺 Fundamentals of Welding & Technology焊接自动化 Automation of Welding汉语 Chinese汉语与写作 Chinese & Composition汉语语法研究 Research on Chinese Grammar汉字信息处理技术 Technology of Chinese Information Processin g毫微秒脉冲技术 Millimicrosecond Pusle Technique核动力技术 Nuclear Power Technology合唱与指挥 Chorus & Conduction合金钢 Alloy Steel宏观经济学 Macro-Economics宏微观经济学 Macro Micro Economics红外CCD Infrared CCD红外电荷耦合器 Infrared Electric Charge Coupler红外探测器 Infrared Detectors红外物理 Infrared Physics红外物理与技术 Infrared Physics & Technology红外系统 Infrared System红外系统电信号处理 Processing Electric Signals from Infrared Sy stems厚薄膜集成电路 Thick & Thin Film Integrated Circuit弧焊电源 Arc Welding Power弧焊原理 Arc Welding Principles互换性技术测量基础 Basic Technology of Exchangeability Measur ement互换性技术测量 Technology of Exchangeability Measurement互换性与技术测量 Elementary Technology of Exchangeability Me asurement。
复变函数教案(双语)
复变函数论课程教学实施方案章节、名称：第一章，第1、2、3节，I Complex number field, 1.1 Sums and products, 1.2 Operation, 1.3 Modulus and arguments 课时安排：2教学方式：理论讲授教学目的和要求：重温熟悉复数的概念，熟练掌握复数的四则运算及共轭运算，了解复平面，理解复数的几何表示及其应用。
教学内容及重点、难点：介绍课程理论框架：Chapter I Complex number fieldChapter II Analytic FunctionsChapter III Elementary FunctionsChapter IV IntegralsChapter V SeriesChapter VI ResiduesChapter VII Applications of Residues第一章 Complex number field介绍复数的背景知识，复数的代数表示、代数运算、几何表示。
1．Complex numbers2. operations;Grip the operations, representations and the triangle inequality of complex numbers;3．Complex plane, moduli and arguments of complex numbers;授课实施方案：启发式教学法，以讲授为主，讲练结合。
注重知识背景的阐述，适当增加课外知识、实例分析。
讨论、思考题、作业：思考：（1）复数为什么不能比较大小？（2）复数可以用向量表示，则可以认为与向量运算相同？作业：P7 Exercises 1(a)参考资料：1.Cao Huai-Xin, Zhang Jiang-Hua, Chen Zheng-Li, Ren Fang,An Introduction to Complex Analysis,Xi'an:Shaanxi Normal University Press, 2006.2.Conway J. B., Functions of one Comp1ex Variable,Springer-Verlag, New York Inc., 19783. Yu Jia-Rong, Theory of complex variable functions, Beijing:Advanced Education Press, 2000.章节、名称：第一章，第4、5、6节，I Complex number field, 1.4 Conjugate, 1.5 Exponential form, 1.6 Regions in complex plane课时安排：2教学方式：理论讲授教学目的和要求：掌握复数的共轭、乘幂与方根的运算，了解复平面中的区域概念。
结构方程模型公式解释
结构方程模型公式解释英文回答：Structural equation modeling (SEM) is a statistical technique that allows researchers to test and confirm theories about the relationships between observed andlatent variables. It combines elements of both confirmatory factor analysis (CFA) and path analysis, and it is used to examine the relationships between multiple variables and their underlying constructs.SEM involves the simultaneous estimation of a measurement model and a structural model. The measurement model specifies the relationships between the observed variables and the latent variables, while the structural model specifies the relationships between the latent variables.The SEM formula is:Y = Λη + ε。
where:Y is the vector of observed variables.Λ is the matrix of factor loadings.η is the vector of latent variables.ε is the vector of error terms.The factor loadings represent the strength of the relationship between each observed variable and its corresponding latent variable. The error terms representthe unexplained variance in each observed variable.SEM is a powerful tool that can be used to test complex theories about the relationships between variables. It is a valuable technique for researchers in a wide range of disciplines, including psychology, education, and marketing.中文回答：结构方程模型（SEM）是一种统计技术，允许研究人员检验和确认有关观察变量和潜在变量之间关系的理论。