> 상세정보

# 상세정보

## Mathematics in economics : models and methods

자료유형
단행본
개인저자
Ostaszewski, Adam. Binmore, K. G. , 1940-
서명 / 저자사항
Mathematics in economics : models and methods / Adam Ostaszewski.
발행사항
Oxford, UK ;   Cambridge, Mass. :   Blackwell ,   1993.
형태사항
xix, 508 p. : ill. ; 25 cm.
ISBN
0631180559 (acid-free paper) 0631180567 (pbk. : acid-free paper) 9780631180562 (pbk.)
일반주기
"Based on lecture notes by K.G. Binmore and A. Ostaszewski."
Includes index.
일반주제명
Economics -- Mathematical models.
 000 00991camuu2200289 a 4500 001 000045557008 005 20091030105803 008 920914s1993 enka 001 0 eng 010 ▼a 92032454 020 ▼a 0631180559 (acid-free paper) 020 ▼a 0631180567 (pbk. : acid-free paper) 020 ▼a 9780631180562 (pbk.) 035 ▼a (KERIS)REF000013789381 040 ▼a DLC ▼c DLC ▼d DLC ▼d 211009 050 0 0 ▼a HB135 ▼b .O867 1993 082 0 0 ▼a 330/.01/5118 ▼2 22 090 ▼a 330.015118 ▼b O85m 100 1 ▼a Ostaszewski, Adam. 245 1 0 ▼a Mathematics in economics : ▼b models and methods / ▼c Adam Ostaszewski. 260 ▼a Oxford, UK ; ▼a Cambridge, Mass. : ▼b Blackwell , ▼c 1993. 300 ▼a xix, 508 p. : ▼b ill. ; ▼c 25 cm. 500 ▼a "Based on lecture notes by K.G. Binmore and A. Ostaszewski." 500 ▼a Includes index. 650 0 ▼a Economics ▼x Mathematical models. 700 1 ▼a Binmore, K. G. , ▼d 1940- 945 ▼a KINS

### 소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 청구기호 330.015118 O85m 등록번호 121186141 도서상태 대출가능 반납예정일 예약 서비스

### 컨텐츠정보

#### 목차


CONTENTS
Acknowledgements = xiii
Note on Conventions = xv
Foreword by K G. Binmore = xvii
Part Ⅰ Elementary Algebra = 1
1 Sets and Numbers = 3
1.1 Sets = 3
1.2 Venn diagram = 4
1.3 Inequalities = 6
1.4 Roots = 9
1.5 Exercises = 12
2 Matrices and Vectors = 17
2.1 Matrices = 17
2.2 Vectors = 22
2.3 Lines and planes = 25
2.4 Exercises = 30
3 Modelling Consumer Choice = 40
3.1 Commodity bundles = 40
3.2 Price vectors = 40
3.3 Budget set = 41
3.4 Rationing, taxation and subsidies = 43
3.5 Preferences = 45
3.6 Optimal choice = 51
3.7 Sales versus income tax = 52
3.8 Marginal rate of substitution = 52
3.9 Factors of production = 56
3.10 Exercises = 60
4 Discrete Variables = 67
4.1 Discrete and continuous variables = 67
4.2 Summation = 69
4.3 Induction = 71
4.4 Inter-temporal choice = 72
4.5 Discounting = 74
4.6 Bonds = 75
4.7 Binomial theorem = 76
4.8 Polynomials = 79
4.9 Population growth = 82
4.10 Cobweb model = 86
4.11 Linear homogeneous difference equations = 88
4.12 Multiplier-accelerator models = 90
4.13 Summing differences = 91
4.14 Exercises = 94
5 Functions = 103
5.1 Dependent and independent variables = 103
5.2 Production functions = 104
5.3 Returns to scale = 105
5.4 Utility functions = 107
5.5 Real variables = 109
5.6 Demand functions = 114
5.7 Market demand = 117
5.8 Cost functions = 119
5.9 Supply functions = 122
5.10 Market supply = 126
5.11 Vector variables = 127
5.12 Operations on functions = 129
5.13 Implicit functions = 132
5.14 Discrete variables = 132
5.15 Operators = 133
5.16 Probability measures = 133
5.17 Independent events = 135
5.18 Random variables = 137
5.19 Expectation = 139
5.20 Risky consumer choice = 141
5.21 Risk aversion = 145
5.22 Exercises = 146
6 Equilibrium = 160
6.1 Supply and demand = 160
6.2 Comparative statics = 162
6.3 General equilibrium = 166
6.4 Linear market equilibrium models = 168
6.5 Homogeneous linear equations = 170
6.6 Rank = 174
6.7 Non-homogeneous linear equations = 177
6.8 Non-homogeneous difference equations = 181
6.9 Finding the inverse of a matrix = 185
6.10 Input-output analysis = 189
6.11 Determinants - a tool for solving equations = 193
6.12 Exercises = 201
7 Eigenvalues and Eigen-vectors = 209
7.1 Example : super-power arms race = 209
7.2 Eigenvalues = 211
7.3 Arms race revisited = 213
7.4 Diagonalization = 214
7.5 Boom-bust : a Markov process = 216
7.6 Symmetric matrices = 219
7.8 Positive definite forms = 225
7.9 Matrices of size n x n = 229
7.10 Exercises = 233
7.11 Further exercises = 234
Part Ⅱ Elementary Calculus = 247
8 Limits and their Uses = 251
8.1 Large-scale average cost = 251
8.2 Marginal costs - profitability = 253
8.3 Definition of a limit = 255
8.4 Exercises = 258
9 Continuity and its Uses = 260
9.1 The continuity condition = 260
9.2 Discontinuous cost function = 261
9.3 Discontinuous stock function = 261
9.4 Right-sided and left-sided limits = 262
9.5 Importance of continuity in economic models = 263
9.6 Calculation of limits = 265
9.7 Exercises = 268
10 Uses of the Derivative = 271
10.1 Instantaneous market indicators = 271
10.2 Linearization : a tool for simplifying models = 277
10.3 Why the marginal propensity to consume lies between zero and unity = 279
10.4 Marginal revenue versus average revenue; the mean value theorem = 280
10.5 Increasing functions - facts and myths = 282
10.6 Average revenue, marginal revenue - inverse functions = 284
10.7 Exercises = 288
10.8 Further exercises = 291
11 Continuous Compounding and Exponential Growth = 297
11.1 Interest compounded with a high frequency = 297
11.2 Connection with differentiation = 299
11.3 Cashing in an appreciating asset = 301
11.4 Summing a flow of expenditure = 304
11.5 Consumer surplus = 305
11.6 Logarithms and how to double your money = 311
11.7 Exercises = 317
12 Partial Differentiation = 332
12.1 Total versus partial change : analysis of two input costs = 332
12.2 Geometric meaning of the partial derivatives = 334
12.3 Comparative statics : national income revisited = 335
12.4 The chain rule : marginal product revisited = 336
12.5 Implicit differentiation = 340
12.6 Implicit differentiation : economic applications = 343
12.7 Euler's theorem for homogeneous functions = 344
12.8 Exercises = 346
13.1 Tangent budget lines = 351
13.2 Price vectors and normals = 354
13.3 Normals to iso-quant curves : the gradient = 357
13.4 An application : the Edge-worth box = 361
13.5 Tangent planes to surfaces = 364
13.6 A directional marginal utility = 369
13.7 Direction of fastest growth = 373
13.8 Breaking the convention : differentials = 375
13.9 Exercises = 378
14 Taylor's Theorem - an Approximation Tool = 384
14.1 'Double your money' - approximation and relative smallness = 384
14.2 Estimating error via the derivatives = 385
14.3 Taylor's theorem : second-order error = 388
14.4 Taylor's theorem : higher order terms and (I + x)$$\^t$$ = 390
14.5 The constant elasticity of substitution production function in the limit as $$\rho$$ approaches zero = 393
14.6 Concavity of f(x) from f"(x)$$\leq$$0 = 394
14.7 Classification of stationary points : revision = 395
14.8 Modelling a cost curve with a cubic = 399
14.9 An exotic application : monopolistic barter = 401
14.10 Exercises = 406
14.11 Further exercises = 409
15 Optimization in Two Variables = 416
15.1 Interior optimum : stationarity = 416
15.2 Classifying quadratic surfaces = 418
15.3 Quadratic approximation of a surface locally = 423
15.4 Classifying stationary points : local concavity = 427
15.5 Global concavity = 434
15.6 Boundary optimum : Lagrange multipliers = 439
15.7 Worked examples = 441
15.8 Lagrange multiplier as the marginal utility of money = 445
15.9 More than two variables = 446
15.10 Constrained optimization : a second-order condition = 450
15.11 Exercises = 451
15.12 Further exercises = 453
16 Economic Dynamics : Differential Equations = 461
16.1 Domar's growth model = 461
16.2 Off-equilibrium : a paradox = 463
16.3 Price adjustment in the market = 464
16.4 Solow's growth model = 465
16.5 Rdsumd on differential equations 469
16.6 Some more tricks for order 1 = 475
16.7 A market with price trend anticipation = 478
16.8 Second-order differential equations with constant coefficients = 479
16.9 The market with price trend anticipation (continued) = 482
16.10 Finding particular solutions = 484
16.11 Higher orders = 487
16.12 A final example : the Phillips relation = 488
16.13 Exercises = 492
16.14 Further exercises = 494
Index of Symbols = 503
Index = 504



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