学经济到底需要多深的数学知识呀

极度支持9楼的观点

经济和金融研究到最后其实就是数学。

高级微观中觉得都是在讲数学，或者说用数学方法来证明一个个已经熟知的定理。了解这种证明有用么?

感觉不是在学经济了，是在学数学。困惑ing～～

谁给具体说说"后来"的研究是怎么用到的数学？

这个要根据学到什么程度

数学是很有用的，不过还得学会运用才重要！

那些经济学家一般都有一个应用数学博士的头衔的呀

看了你的帖子，我发了篇帖子，希望引起大家讨论，多共享信息，分享心得https://bbs.pinggu.org/thread-305047-1-1.html&page=1

以下是引用machisoftgodden在2008-1-22 11:32:00的发言：

这个地址:http://ias.whu.edu.cn/html/2005-9/2005914153407.asp 

谢谢machisoftgodden的回答，我看了您给的链接，都是所学科目的教学计划，很受启发，能给出这些数学教材的参考书目吗？因为能读到经典的教材，对我们初学者是非常重要的。

数学啊，正在复习中，难啊

以下是引用y2ybanbi在2008-4-10 16:36:00的发言：

谢谢machisoftgodden的回答，我看了您给的链接，都是所学科目的教学计划，很受启发，能给出这些数学教材的参考书目吗？因为能读到经典的教材，对我们初学者是非常重要的。

武汉大学高级研究中心书目
(Bibliography of Institute of Advanced Study at Wuhan University)

1. Macroeconomic Theory And Policy       Branson W.H.        中级宏观经济学             30
2. Macroeconomics (fourth edition)        N. Gregory Mankiw           宏观经济学(第四版)    30  
3. Macroeconomics (second edition)        Abel A. & Bernanke B.S.      宏观经济学          30      
4. Advanced Macroeconomics               Romer D.                   高级宏观经济学(第二版) 30
5. Exercises In Advanced Macroeconomics  Romer D.             高级宏观经济学习题           16
6. Macroeconomic Theory                   Sargent T.J.              宏观理论                30
7. Problems In Macroeconomic Theory    Charles H. Whiteman     宏观理论习题              15
8. Dynamic Macroeconomic Theory           Sargent T.J.                 动态宏观理论            18
9. Exercise in Dynamic Macroeconomic Theory      Sargent T.J.      动态宏观理论习题          15
10. Recursive Macroeconomic Theory   Lars Ljungqvist & T.J. Sargent    递归宏观理论       35
11. Intertemporal Macroeconomics          Azariadi C.                      跨时宏观           35
12. Lectures on Macroeconomics              Blanchard O.J. & Fischer S.      宏观经济学讲义    30
13. Handbook Of Macroeconomics(Volume 1A)   editor: J.B. Taylor & M. Woodford宏观经济学手册   35
14. Handbook Of Macroeconomics (Volume 1B )   editor: J.B. Taylor & M. Woodford 宏观经济学手册   30
15. Handbook Of Macroeconomics (Volume 1C)    editor: J.B. Taylor & M. Woodford  宏观经济学手册  30
16.Methods Of Macroeconomic Dynamics      Turnovsky S.J.     动态宏观经济学方法             20
17.Workbook For Methods Of Macroeconomic Dynamics  
   Turnovsky S.J. &Hendrickson M.K.   动态宏观经济学方法习题   28
18.Introduction To Dynamic Macroeconomic Theory  McCandless G.T. &Neil Wallace动态宏观导论  20
19.Foundations Of International Macroeconomics     Obtesfeld M. & Rogoff 国际宏观经济学基础 33
20.Introduction To Linear And Nonlinear Programming      Luenberger D.G.  最优化（上）   无
21.Dynamic Optimization       Kamie* *.*. & *chwartz N.L.                动态优化（中）     30
22.Dynamic Programming (Deterministic And Stochastic Models)  Bertsekas D.P. 动态规化（下） 25
23.Introduction To Stochastic Dynamic Programming     Ross S.       随机动态规化引论      10
24.Recursive Methods In Economic Dynamics     Lucas R.E.      经济动态学中的叠代方法     30
25.Recursive Methods In Economic Dynamic*（**ercise）Lucas R.E. 经济动态学中的叠代方法习题 15
26.Dynamic Choice And Assets Markets      Altug S. & Labadie D.     动态选择和资产市场  15
27.Dynamic Asset Pricing Theory           Darrell Duffie               动态资产定价理论      30
28.Asset Pricing                         John H. Cochrane          资产定价                   30
29.International Macroeconomic Dynamics       Turnovsky S.J.        国际宏观动态学            28
30.Dynamic Economic Analysis               Harris M.             动态经济分析                 27
31.Intermediate Microeconomics (A Modern Approach)   Varian H. 中级微观（现代观点）  30
32.Microeconomic Theory (A Mathematical Approach)  
   Handerson M.J. &Quandt R.E.    微观经济学理论（数学观点）   25
33.Microeconomic Analysis             Varian H.          微观经济学分析                     30
34.Microeconomic Theory   Mas-colell A. Whinston M.D. & Green J.R.         微观经济学理 44
35.Solutions manual For microeconomic Theory   Hara C.Segal I. & Tradelis S. 微观理论习题 38
36.Microeconomics Of Banking     Xavier Freixas & Jean-Charles Rochet    银行微观经济学 25
37.Introduction To The Theory And Practice Of Econometrics      Judge G.G.    计量经济学  30
38.Basic Econometrics        Gujarati D.N.                                   初级计量经济学    50
39.Student Solutions manual To Basic Econometrics  Beck W.C.          初级计量经济学习题   15
40.Econometric Analysis (3’rd edition)        Greene W.H.                 中级计量          50
41.Financial Econometrics (problems, Models, And Methods)  
   Christian Gourieroux  & Joann Jasiak   金融计量经济学     28
42.The Econometrics Of Financial Markets
   Campbell J.Y. Lo, A.W. &Mackinlay A.C.金融市场中的计量经济学       30
43.Theory Of Financial Decision ******          Imgersoll J.E.               金融决策理论     25
44.Foundation For Financial Economics   Huang C.F. & Litzenberger R.H.   金融经济学基础 22
45.Principles Of Financial Economics        S.F. Leroy & Jan Werner    金融经济学原理   18
46.Financial theory And Corporate Policy   Copeland T.E. & Weston J.F. 金融理论与公司政策(上 下) 40
47.Exercise In Finance Theory And Corporate Policy  
   Copeland T.E. & Weston J.F. 金融理论与公司政策习题   无
48.Finance Theory        Jarrow R.A.                              金融理论                     20
49.Lecture Notes On Corporate Finance     Jean Tirole              公司金融（I II）            30
50.Solutions To Exercises (Lecture Notes On Corporate Finance)  Jean Tirole 公司金融习题解答   10

51.Theoretical Foundations Of Corporate Finance      Amaro de Matos 公司金融的理论基础 20 52.Principles of Corporate Finance     Brealey & Myers       公司财务原理（含习题 上下）    60 53.Stochastic Optimization Model In Finance    Ziemba W.T.  金融中的随机最优模型（上下）无 54.Security Markets Stochastic Model           Duffie D.        金融市场                    15 55.Continuous- time Finance                   Merton R.C.   连续时间金融                    30 56.Stochastic Methods In Economics And Finance  Mailiaris A.G. & Brown W.经济和金融中的随机方法 10 57.Financial Engineering      Marshall J.F. & bansal V.K.       金融工程                     无 58.Methods Of Mathematical Finance  Karatzas I. & Shreve S.E.   数理金融方法            24 59.Fractals And Scaling In Finance       Mandelbrot B.B.          金融中的分形与标度         无 60.Mathematics Of Financial Derivatives   Salih N. Neftci  金融衍生工具的数学理论(第三版) 30 61.Firms Contracts And Financial Structure   Oliver Hart   公司合约和金融结构                 20 62.Options, Futures And Other Derivative Securities Hull J.  期权期货及其它衍生证券(第四版) 30   63.Options, Futures And Other Derivative Securities Hull J.  期权期货及其它衍生证券的习题集 15 64.An Introduction To Derivatives                  Chance D.M.        衍生债券初步           30 65.Derivative Securities        Robert Jarrow & Stuart Turnbull      衍生证券                35 66.Investment Under Uncertainty        Dixit A.K. & Pindyck R.S.      不确定性信下的投资     25 67.The Foreign Exchange And Money   Markets Guide               外汇与货币市场指南            30 68.Monetary Theory And Policy      Carl E. Walsh               货币理论与政策               35 69.货币理论论文集                  25 70.Handbooks of Monetary Economics(Volume I)      Edited by Benjamin M. Friedman & Frank H. Hahn  货币经济学手册 （1）35 71.Handbooks of Monetary Economics(Volume II)      Edited by Benjamin M. Friedman & Frank H. Hahn 货币经济学手册 （2） 30 72.Theory Of Public Finance In A Federal State  Dietmar Wellisch  联邦制下的公共财政理  16 73.The Economics Of Money. Banking And Financial Markets  F.S. Mishkin    货币、银行和金融市场经济学      40 74.International Economics (I) (The Pure Theory Of International Trade)    Gandolfo G.国际经济学（I）      20 75.International Economics (II) (International Monetary Theory And Open-Economy Macroeconomics GandolfoG.       国际金融（II）30 76.Fiscal Policies And Growth In The World Economy Frenkel J.A.,Razin A.&C.W.Yuen 国际金融   18 77.The Pure Theory Of International Trade       Kemp M.C.               国际贸易纯理论       20 78.Theory Of International Trade       Dixit A.K.&Norman V.             国际贸易理论         14 79.Management                     S.P.Robbins                           管理学               38 80.Investments                Sharpe W.F.Alexander G.J.&Bailey J.V.       投资学               40 81.Essentials of Investments       Bodie、Kane & Marcus           投资学基础   (第四版)         30 82.Solutions Manual For Use With Essentials of Investments   Bodie、Kane & Marcus 投资学基础习题12 83.Investment Science           Luenberger D.G.                             投资科学            26 84.Introduction To Financial Accounting      Charles T. Horngren Gary L. Sundem & John A. Elliott  会计学 30 85.Economics       Samuelson P.A.&Nordhaus W.D.                          经济学               38 86.Solutions For Economics           Samuelson P.A.&Nordhaus W.D.        经济学习题           15 87.The Economics Of Risk And Time         Christian Gollier          经济学的风险与时间          25 89.Development Macroeconomics         Agenor P.R.&Montiel P.     发展宏观经济学（第二版） 40 90.Development Economics           Debraj Ray                                     发展经济学  40 91.Public Economics           Myles G.D                                       公共经济学  28 92.Fundamentals Of Public Economics        Jean-Jacques Laffont    公共经济学基础 93.Lectures On Public Economics           Alkinson A.B.&Stiglitz J.E.            公共经济学讲义  30 94.Foundations of Social Theory            JAMES S. COLEMAN          社会理论基础（上 下）  45 95.Natural Resource Economics          Conrad & Clark                     自然资源经济学  20 96.Economic Theory And Exhaustible Resources   Dasgupta & Heal  经济理论和可枯谒资源 25 97.The Economics Of Uncertainty And Information     Laffont J.J.                  信息经济学     20 98.The Analysis Of Uncertainty And Information      Shleifer J.&Riley J.G.   信息和不确定性分析25 99.World Economic Primacy :1500 To 1990      Chales P.Kindleberger          世界经济的霸主  15 100.A Concise Economic History Of The World  Cameron R.                   简明世界经济史   22

101.Mathematics For Economic Analysis     Knut S.&P.J.Hammond   经济分析中的数学理论  40 102.History Of Economic Analysis          Schumpeter J.A.        经济分析史                 50 103.Economic Growth                      Barrow R.J.&Sala-I-Martin X.           经济增长         30 104.Mathematical Theory Of Economic Growth  Burmeister E.&Dobell A.  经济增长的数学理论 25 105.Growth And Development                   A.P.Thirlwall             经济增长与发展        35 106.Endogenous Growth Theory                   P.Aghion&P. Howitt        内生增长理论            35 107. Game Theory (1)                           Owen G.              对策论                       无 108.Game Theory (2)                         Myerson R.B.              对策论                   30 109.Game Theory (3)                         Fudenberg D. & Tirole J.    对策论                   30 110.Game Theory Solutions To Exercises (3)       G. D. Ellison               对策论习题解答      15 111.Game Theory In Economy              Rubinstein A.            经济学中的对策论               35 112.A Course In Game Theory          Martin J. Osborne & Ariel Rubinstein   对策论教程       25 113.Games & Information                   Eric Rasmusen                      信息和对策论    30 114.Game Theory For Applied Economists                            应用经济学中的对策论         23 115.Fixed Point Theorems With Applications To Economics And Game Theory             Kim C. Border 不动点定理在经济学和对策论中的应用        无 116.The Theory Of Industrial Organization                                产业组织理论         28 117.Bargaining And Markets                  MJ. Osborne & Rubinstein            交易与市场    15 118.Incentives And Political Economy        Jean-Jacques Laffont           激励与政治经济学    25 119.A Theory Of Incentives In Procurement And Regulation     JJ. Laffont       激励机制   35 120.The Theory Of Incentives (The Principal-Agent Model)     Jean-Jacques Laffont & David Martimort  激励理论               25 121.The Theory Of Incentive* **ercises To Solutions        激励理论习题解答                   10 122.                                                       激励理论论文集                     40 123.Core And Equilibrium Of A Large Economy        Brand W.H.   大经济中的核和均衡            10 124.Theory Of Valuation      Bhattachanya S. & Constantindes G.M.                价值理论     14 125.Theory Of Value         Debreu G.                                      一般均衡理论    16 126.Foundation Of The Theory Of General Equilibrium     Balasko Y.   一般均衡理论基础   14 127.The Theory Of General Economic Equilibrium (A Differentiable Approach)         Mas—Colell A.   一般经济均衡理论            14 128.General Competitive Analysis      Arrow J. & Hahn H.             一般均衡分析     129.Classical General Equilibrium Theory      Lionel W. Mckenzie     经典一般均衡理论 130.Optima And Equilibria               Aubin J.P.                        优化与均衡      15 131.Existence And Optimality Of Competitive Equilibria         Aliiprantis C.D.,Brown D.J.&Burkinshaw O. 竞争均衡的存在性与最优性  18 132.Competitive Dquilibrium (Theory And Applications)  Bryan Ellickson  竞争均衡：理论与应用  25 133.Economics And Consumer Behavior      Angus Deaton & John Muellbauer    经济和消费行为 28 134.A Theory Of The Consumption Function      Milton Friedman          消费函数理论     15 135.The Rational Consumer                     Robert E.Hall               理性消费者        15 136.Understanding Consumption                 Angus Deaton                       理解消费      20 137.The Theory Of Linear Economic Models      Gale D.                     线性经济模型理论   14 138.Mathematical Economics                   Takayama A.                        数理经济      25 139.Forecasting Economic Time Series    Granger G. & Newbold P.    预测经济时间序列      14 140.Time Series Analysis                     Hamilton J.D.                   时间序列分析    40

141.A Course In Probability Theory             Chung K.L.                           概率论    20 142.Probability And Statistics                Degroot M.H.                       概率和统计 28 143.Introduction To Probability Theory  Hoel P.G.Port S. C. & Store C.J.   概率论导论     12 144.Brownian Motion And Stochastic Calculus   Karatzas I. & Shreve S.E.       布朗运动     无 145.Stochastic Processes                       Ross S. M.                          随机过程     28 146.A First Course In Stochastic Processes      Karlin S. & Taylor H.M.       随机过程导论    28 147.Stochastic Optimal Control               Bertsekas D.P. & Shreve S.E.      随机最优控制    无 148.Deterministic And Stochastic Optimal Control  Fleming W.H. & Rishel R.  确定性和随机最优化  10 149.Ordinary Differential Equation             Arnold V.I.                       常微分方程      18 150.Elementary Differential Equations            Boyce W.E. & Diprima R.C.    初级微分方程   22 151.An Introduction To Chaotic Dynamical Systems     Devaney R.L.                 动力系统      16 152.Dynamics And Bifurcations                  Hale J.K. & Kocak H.  动力系统和分支理论        28 153.Differential Equations, Dynamical Systems And Linear Algebra       Hirsch M.W. & Smale S.  微分方程、动力系统和线性代数   16 154.Linear Algebra—An Introductory Approach         Curtis C.W.              线性代数初步     20 155.Undergraduate Algebra                                                       代数学       35 156.Topics In Algebra (Second Edition)             I.N.Herstein                 代数论题      25 157.Fixed Income Mathematics                       Fabozzi F.J.            固定收入的数学    28 158.Applied Nonlinear Analysis                      Aubin J.P.             应用非线性分析     16 159.Complex Analysis And Application                   Cr.V.& Brown J.W.    复变量与应用      12 160.Complex Analysis                                                             复分析    25 161.Differential Topology                           Guillemin V. & Pollack A.       微分拓扑    10 162.Topology (A First Course)                         Munkres J.R.                   拓扑学     20 162.Topological Spaces                                 Berge C.                     拓扑空间    15 163.Real Analysis                                      Royden H.L.                   实分析     25 164.Real Analysis                                Aliprantis C.D.&Burkinshaw O.    实分析原理    15 165.Problems In Real Analysis        Aliprantis C.D.&Burkinshaw O. 实分析原理习题               15 166.Real Analysis And Probability                  Robert B.Ash                  实分析与概率论 22 167.Theory Of Point Estimation                          E.L.Lehmann             点估计理论      25 168.Testing Statistical Hypotheses                 E.L.Lehmann                      假设检验     25 169.Principles Of Mathematical Analysis         W.Rudin                      数学分析原理      28 170.Functional Analysis                         W.Rudin                          泛函分析      25 171.The Analects And Mencius                                                 论语、孟子    15 172.Records Of The Grand Historian (Han Dynasty I)   By Sima Qian Translated By Burton Wats 史记(I)25 173.Records Of The Grand Historian (Han Dynasty II)   By Sima Qian Translated By Burton Watson史记(II)25 174.Records Of The Grand Historian (Qin Dynasty )   By Sima Qian  Translated By Burton Watson   史记(秦朝部分) 20 175.The Shi King (The Old “Poetry Classic” Of The Chinese)   A Close Metrical Translation, With Annotations By William Jennings, M.A.   诗经 176.The Complete Works Of Chuang Tzu           Translated By Burton Watson        庄子 177.Western Civilization     Perry M.Chase M.Jacob J.R.Jacob M.&VonLaue T.H. 西方文化 40 178.History Of The World                        J.M.Roberts                    世界史（I II）48 179.Great Political Thinkers        Ebenstein W.&Ebenstein A.O.   著名政治思想家（上下）    48 180.A History Of The Ancient World (Vol The Orient And Green)     Rostovtzeff M. 古代世界史——东方和希腊                                                 27

181.Western Europe In The Middle Ages       Tierney B.                           西欧中世纪    25 182.The Protestant Ethic And The Spirit Of Capitalism   Webber M.  新教伦理与资本主义精神   26 183.The Wealth And Poverty Of Nations       Landes D.S.                         国富与国贫      40 184.The Great Ideals (Vol I—Vol4)        Adler M.J.                           伟大的思想      112 185.A History Of Chinese Of Political Thought  Hsiao Kung-Chuan       中国政治思想史     40 186.A History Of The World (In The Twentieth Century)  Grenville J.A.S  二十世纪世界史（上下） 48 187.A History Of The Ancient World          Starr C.G.                        古代世界史       24 188.Ancient Green (A Political Social And Cultural History)    Pomeroy S.B.etc.古代希腊、政治社会和文化史 28 189.A History Of Chinese Civilization         Germet J.etc.                中国文明史     40 190.A History Of The Modern World     R.R.Palmer &Joel Colton     近代世界史（I II） 60 191.A People And A Nation (A History Of The United States)                         美国历史      35 192.The Oxford History Of Britain      Edited by Kenneth O.Morgan  英国历史（上 下）     26 193.The Second World War                    Martin Gilbert                   第二次世界大战     25 194.HISTOIREDE DE LA FRANCE                                              法国历史       35 195.DU CONTRAT SOCIAL                 JEAN-JACQUES ROUSSEAU           社会契约论     10 196.The European Reformations         Carter Lindberg                      欧洲宗教改革     28 197.Wheelock’ s Latin                      F.M.Wheelock Revised By R.A.Lafleur    拉丁语    30 198.Workbook For Wheelock’ s Latin     P.T.Comeau&R.A.Lafleur               拉丁语习题       20 199.Reading Greek (三套本)                          希腊语（课本、语法、词汇与练习）         58 200.Introduction To Attic Greek          Donald J. Mastronarde                  古典希腊语      25 201.Greek (An Intensive Course)            H. Hansen & G. M. Quinn            希腊语（精读）    40 202.Greek For Beginners                By L.A. Wilding, M.A.                   希腊语入门       25 203.A History Of Western Philosophy             Russell B                 西方哲学史（上下）    40 204.History Of Political Philosophy (3rd)      Strauss L.& Cropsey J.   政治哲学史（上下）    40 205.A History Of Philosophy                Thrlly F.                             哲学史     28 206.Centrality And Commonality           Tu Wei-Ming                       论儒学的宗教性     12 207.Basic Writings                       Martin Heidegger                         基本著作     14 208.Wegmarken                                Martin Heidegger                   路标 （德）    18 209.Unterwegs Zur Sprache                 Martin Heidegger                通往语言途中（德） 12 210.On The Way To Language             Martin Heidegger                通往语言途中（英） 12

211.Einfuhrung In Die Metaphysik         Martin Heidegger                形而上学导论（德）  10
212.An Introduction To Metaphysics       Martin Heidegger                形而上学导论（英）  10
213.Holzwege                           Martin Heidegger                    林中路 （德）    14
214.What Is Philosophy                    Martin Heidegger                       什么是哲学    6
215.Ktiyik Der Urteilskraft        Immanuel          Kant              判断力的批判 （德）   20
216.  非理性的人     12
217. Marx&Engels           1844年经济学——哲学手稿             10
218.  The Gay Science         Nietzsche                                         快乐的科学   14
219.  Untimely Meditation  Nietzsche                                        不合时宜的沉思   12
220.  Human, All Too Human                Nietzsche                           人类的一切    15
221.  Beyond Good And Evil                   Nietzsche                         超越善与恶    11
222.  Philosophical Investigation     Ludwing Wittgenstein&G.E.M.Anscombe      哲学研究     18
223.  From Plato To Nietzsche                                      从柏拉图到尼采（上下）   40
224.  Writing Of The Young Marx On Philosophy And Society  
      Edited And Translated By Loyd D.Easton &Kurt H.Guddat 青年马克思的哲学和社会学著作 18
225.  Immanuel Kant Kritik Der Reinen Vernunft            康德纯粹理性的批判（上下）（德）30
226.  A Source Book In Chinese Philosophy             Wing-Tsit Chan          中国哲学     25
227.  A History Of Chinese Philosophy            Fung Yu-Lan              中国哲学史（上下）    47
228.  A Short History Of Chinese Philosophy       Fung Yu-Lan                中国哲学小史     25
229.  Systematic Theology(I II III)                  Paul Tillich                  系统神学    38
230.  A History Of Modern Psychology 3e          Duane Schulta                  现代心理学史    26
231.  Basic Writings In The History Of Psychology       R.I.Watson      心理学史基本著作     26
232.  Logical Positivism                          A.J.Ayer                 逻辑史证主义      25
233.  A Comparative History Of World Philosophy   Ben-Ami Scharfstein  比较世界哲学史   35
234.  Philosophy And The Mirror Of Nature                Rorty           哲学与自然之镜     25
235.  A History Of Western Philosophy                                     西方哲学史
236.  The Twentieth Century To Wittgenstein And Sartre    W.T.Jones      二十世纪哲学     25
237.  Introducing Philosophy                 Robertc Solomon                哲学导论      35
238.  Basic Writing Of Nietzsche                                            尼采的基本著作   25
239.  The Portable Nietzsche                                                      尼采选读   25
240.  The Works Of Aristotle —— Volume VIII     Metaphysics亚里士多德 《形而上学》   20
241.  The Structure Of Scientific Revolutions         Thomas S. Kuhn         科学革命结构    18
242.  The Fatal Conceit The Errors Of Socialism     F.A.Hayek                社会主义的错误   18
243.  Problems In Aesthetics                                          美学问题（论文资料）  10
244.  Philosophical Ethics(An Introduction To Moral Philosophy) Tom L. Beauchamp 哲学伦理学  25

这个帖子的回复质量好高啊~~~~~~

留名了......