求书：求英文版的《数理经济学的基本方法》蒋中一 Preface
Part 1	Introduction
1	The Nature of Mathematical Economics					3
1.1	Mathematical versus Nonmathematical Economics					3
1.2	Mathematical Economics versus Econometrics					5
2	Economic Models					7
2.1	Ingredients of a Mathematical Model					7
2.2	The Real-Number System					10
2.3	The Concept of Sets					11
2.4	Relations and Functions					17
2.5	Types of Function					23
2.6	Functions of Two or More Independent Variables					29
2.7	Levels of Generality					31
Part 2	Static (or Equilibrium) Analysis
3	Equilibrium Analysis in Economics					35
3.1	The Meaning of Equilibrium					35
3.2	Partial Market Equilibrium--A Linear Model					36
3.3	Partial Market Equilibrium--A Nonlinear Model					40
3.4	General Market Equilibrium					46
3.5	Equilibrium in National-Income Analysis					52
4	Linear Models and Matrix Algebra					54
4.1	Matrices and Vectors					55
4.2	Matrix Operations					58
4.3	Notes on Vector Operations					67
4.4	Commutative, Associative, and Distributive Laws					76
4.5	Identity Matrices and Null Matrices					79
4.6	Transposes and Inverses					82
5	Linear Models and Matrix Algebra (Continued)					88
5.1	Conditions for Nonsingularity of a Matrix					88
5.2	Test of Nonsingularity by Use of Determinant					92
5.3	Basic Properties of Determinants					98
5.4	Finding the Inverse Matrix					103
5.5	Cramer's Rule					107
5.6	Application to Market and National-Income Models					112
5.7	Leontief Input-Output Models					115
5.8	Limitations of Static Analysis					124
Part 3	Comparative-Static Analysis
6	Comparative Statics and the Concept of Derivative					127
6.1	The Nature of Comparative Statics					127
6.2	Rate of Change and the Derivative					128
6.3	The Derivative and the Slope of a Curve					131
6.4	The Concept of Limit					132
6.5	Digression on Inequalities and Absolute Values					141
6.6	Limit Theorems					145
6.7	Continuity and Differentiability of a Function					147
7	Rules of Differentiation and Their Use in Comparative Statics					155
7.1	Rules of Differentiation for a Function of One Variable					155
7.2	Rules of Differentiation Involving Two or More Functions of the Same Variable					159
7.3	Rules of Differentiation Involving Functions of Different Variables					169
7.4	Partial Differentiation					174
7.5	Applications to Comparative-Static Analysis					178
7.6	Note on Jacobian Determinants					184
8	Comparative-Static Analysis of General-Function Models					187
8.1	Differentials					188
8.2	Total Differentials					194
8.3	Rules of Differentials					196
8.4	Total Derivatives					198
8.5	Derivatives of Implicit Functions					204
8.6	Comparative Statics of General-Function Models					215
8.7	Limitations of Comparative Statics					226
Part 4	Optimization Problems
9	Optimization: A Special Variety of Equilibrium Analysis					231
9.1	Optimum Values and Extreme Values					232
9.2	Relative Maximum and Minimum: First-Derivative Test					233
9.3	Second and Higher Derivatives					239
9.4	Second-Derivative Test					245
9.5	Digression on Maclaurin and Taylor Series					254
9.6	Nth-Derivative Test for Relative Extremum of a Function of One Variable					263
10	Exponential and Logarithmic Functions					268
10.1	The Nature of Exponential Functions					269
10.2	Natural Exponential Functions and the Problem of Growth					274
10.3	Logarithms					282
10.4	Logarithmic Functions					287
10.5	Derivatives of Exponential and Logarithmic Functions					292
10.6	Optimal Timing					298
10.7	Further Applications of Exponential and Logarithmic Derivatives					302
11	The Case of More than One Choice Variable					307
11.1	The Differential Version of Optimization Conditions					308
11.2	Extreme Values of a Function of Two Variables					310
11.3	Quadratic Forms--An Excursion					319
11.4	Objective Functions with More than Two Variables					332
11.5	Second-Order Conditions in Relation to Concavity and Convexity					337
11.6	Economic Applications					353
11.7	Comparative-Static Aspects of Optimization					364
12	Optimization with Equality Constraints					369
12.1	Effects of a Constraint					370
12.2	Finding the Stationary Values					372
12.3	Second-Order Conditions					379
12.4	Quasiconcavity and Quasiconvexity					387
12.5	Utility Maximization and Consumer Demand					400
12.6	Homogeneous Functions					410
12.7	Least-Cost Combination of Inputs					418
12.8	Some Concluding Remarks					431
Part 5	Dynamic Analysis
13	Economic Dynamics and Integral Calculus					435
13.1	Dynamics and Integration					436
13.2	Indefinite Integrals					437
13.3	Definite Integrals					447
13.4	Improper Integrals					454
13.5	Some Economic Applications of Integrals					458
13.6	Domar Growth Model					465
14	Continuous Time: First-Order Differential Equations					470
14.1	First-Order Linear Differential Equations with Constant Coefficient and Constant Term					470
14.2	Dynamics of Market Price					475
14.3	Variable Coefficient and Variable Term					480
14.4	Exact Differential Equations					483
14.5	Nonlinear Differential Equations of the First Order and First Degree					489
14.6	The Qualitative-Graphic Approach					493
14.7	Solow Growth Model					496
15	Higher-Order Differential Equations					502
15.1	Second-Order Linear Differential Equations with Constant Coefficients and Constant Term					503
15.2	Complex Numbers and Circular Functions					511
15.3	Analysis of the Complex-Root Case					523
15.4	A Market Model with Price Expectations					529
15.5	The Interaction of Inflation and Unemployment					535
15.6	Differential Equations with a Variable Term					541
15.7	Higher-Order Linear Differential Equations					544
16	Discrete Time: First-Order Difference Equations					549
16.1	Discrete Time, Differences, and Difference Equations					550
16.2	Solving a First-Order Difference Equation					551
16.3	The Dynamic Stability of Equilibrium					557
16.4	The Cobweb Model					561
16.5	A Market Model with Inventory					566
16.6	Nonlinear Difference Equations--The Qualitative-Graphic Approach					569
17	Higher-Order Difference Equations					576
17.1	Second-Order Linear Difference Equations with Constant Coefficients and Constant Term					577
17.2	Samuelson Multiplier-Acceleration Interaction Model					585
17.3	Inflation and Unemployment in Discrete Time					591
17.4	Generalizations to Variable-Term and Higher-Order Equations					596
18	Simultaneous Differential Equations and Difference Equations					605
18.1	The Genesis of Dynamic Systems					605
18.2	Solving Simultaneous Dynamic Equations					608
18.3	Dynamic Input-Output Models					616
18.4	The Inflation-Unemployment Model Once More					623
18.5	Two-Variable Phase Diagrams					628
18.6	Linearization of a Nonlinear Differential-Equation System					638
18.7	Limitations of Dynamic Analysis					646
Part 6	Mathematical Programming
19	Linear Programming					651
19.1	Simple Examples of Linear Programming					652
19.2	General Formulation of Linear Programs					661
19.3	Convex Sets and Linear Programming					665
19.4	Simplex Method: Finding the Extreme Points					671
19.5	Simplex Method: Finding the Optimal Extreme Point					676
19.6	Further Notes on the Simplex Method					682
20	Linear Programming (Continued)					688
20.1	Duality					688
20.2	Economic Interpretation of a Dual					696
20.3	Activity Analysis: Micro Level					700
20.4	Activity Analysis: Macro Level					709
21	Nonlinear Programming					716
21.1	The Nature of Nonlinear Programming					716
21.2	Kuhn-Tucker Conditions					722
21.3	The Constraint Qualification					731
21.4	Kuhn-Tucker Sufficiency Theorem: Concave Programming					738
21.5	Arrow-Enthoven Sufficiency Theorem: Quasiconcave Programming					744
21.6	Economic Applications					747
21.7	Limitations of Mathematical Programming					754
	The Greek Alphabet					756
	Mathematical Symbols					757
	A Short Reading List					760
	Answers to Selected Exercise Problems					763
	Index					781