Essential mathematics for economic analysis:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow ; Munich [u.a.]
FT Prentice Hall
2008
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 721 S. graph. Darst. |
| ISBN: | 9780273713241 9781408200995 |
Staff View
MARC
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| 250 | |a 3. ed. | ||
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Record in the Search Index
| _version_ | 1804138570912366592 |
|---|---|
| adam_text | Preface ix
1 Introductory Topics I: Algebra 1
1.1 The Real Numbers 1
1.2 Integer Powers 4
1.3 Rules of Algebra 10
1.4 Fractions 15
1.5 Fractional Powers 19
1.6 Inequalities 24
1.7 Intervals and Absolute Values 29
Review Problems for Chapter 1 32
2 Introductory Topics II:
Equations 35
2.1 How to Solve Simple Equations 35
2.2 Equations with Parameters 38
2.3 Quadratic Equations 41
2.4 Linear Equations in Two Unknowns 46
2.5 Nonlinear Equations 48
Review Problems for Chapter 2 49
3 Introductory Topics III:
Miscellaneous 51
3.1 Summation Notation 51
3.2 Rules for Sums. Newton s Binomial
Formula 55
3.3 Double Sums 59
3.4 A FewAspects of Logic 61
3.5 Mathematical Proofs 67
3.6 Essentials of Set Theory 69
3.7 Mathematical Induction 74
Review Problems for Chapter 3 76
4 Functions of One Variable 79
4.1 Introduction 79
4.2 Basic Definitions 80
4.3 Graphs of Functions 86
4.4 Linear Functions 89
4.5 Linear Models 96
4.6 Quadratic Functions 99
4.7 Polynomials 105
4.8 Power Functions 112
4.9 Exponential Functions 114
4.10 Logarithmic Functions 120
Review Problems for Chapter 4 124
5 Properties of Functions 127
5.1 Shifting Graphs 127
5.2 New Functions from Old 132
5.3 Inverse Functions 136
5.4 Graphs of Equations 143
5.5 Distance in the Plane. Circles 146
5.6 General Functions 150
Review Problems for Chapter 5 153
6 Differentiation 155
6.1 Slopes of Curves 155
6.2 The Derivative. Tangents 157
6.3 Increasing and Decreasing Functions 163
6.4 Rates of Change 165
6.5 ADashof Limits 169
6.6 Simple Rules for Differentiation 174
6.7 Sums, Products, and Quotients 178
6.8 Chain Rule 184
6.9 Higher-Order Derivatives 189
6.10 Exponential Functions 194
6.11 Logarithmic Functions 197
Review Problems for Chapter 6 203
7 Derivatives in Use 205
7.1 Implicit Differentiation 205
7.2 Economic Examples 210
7.3 Differentiating the Inverse 213
7.4 Linear Approximations 216
7.5 Polynomial Approximations 221
7.6 Taylor s Formula 224
7.7 Why Economists Use Elasticities 228
7.8 Continuity 232
7.9 More on Limits 236
7.10 Intermediate Value Theorem.
Newton s Method 244
7.11 Infinite Sequences 248
7.12 L Höpital sRule 250
Review Problems for Chapter 7 254
8 Single-Variable
Optimization 257
8.1 Introduction 257
8.2 Simple Tests for Extreme Points 260
8.3 Economic Examples 264
8.4 The Extreme Value Theorem 268
8.5 Further Economic Examples 274
8.6 Local Extreme Points 279
8.7 Inflection Points 285
Review Problems for Chapter 8 289
9 Integration 291
9.1 Indefinite Integrals 291
9.2 Area and Definite Integrals 297
9.3 Properties of Definite Integrals 303
9.4 Economic Applications 306
9.5 Integration by Parts 313
9.6 Integration by Substitution 316
9.7 Infinite Intervals of Integration 319
9.8 A Glimpse at Differential Equations 326
9.9 Separable and Linear Differential
Equations 331
Review Problems for Chapter 9 336
10 Interest Rates and
Present Values 339
10.1 Interest Periods and Effective Rates 339
10.2 Continuous Compounding 343
10.3 Present Value 345
10.4 Geometrie Series 347
10.5 Total Present Value 352
10.6 Mortgage Repayments 357
10.7 Internal Rate of Return 362
10.8 A Glimpse at Difference Equations 363
Review Problems for Chapter 10 367
11 Functions of Many
Variables 369
11.1 Functions of Two Variables 369
11.2 Partial Derivatives with Two Variables 373
11.3 Geometrie Representation 379
11.4 Surfaces and Distance 386
11.5 Functions of More Variables 389
11.6 Partial Derivatives with More Variables 392
11.7 Economic Applications 396
11.8 Partial Elasticities 398
Review Problems for Chapter 11 400
12 Tools for Comparative
Statics 403
12.1 A Simple Chain Rule 403
12.2 Chain Rules for Many Variables 408
12.3 Implicit Differentiation along
a Level Curve 412
12.4 More General Cases 416
12.5 Elasticity of Substitution 420
12.6 Homogeneous Functions of
Two Variables 423
12.7 General Homogeneous and Homothetic
Functions 427
12.8 Linear Approximations 432
12.9 Differentials 436
12.10 Systems of Equations 441
12.11 Differentiating Systems of Equations 444
Review Problems for Chapter 12 450
13 Multivariable
Optimization 453
13.1 Two Variables: Necessary Conditions 453
13.2 Two Variables: Sufficient Conditions 458
13.3 Local Extreme Points 462
13.4 Linear Models with Quadratic
Objectives 467
13.5 The Extreme Value Theorem 474
13.6 Three or More Variables 479
13.7 Comparative Statics and
the Envelope Theorem 482
Review Problems for Chapter 13 486
14 Constrained Optimization 489
14.1 The Lagrange Multiplier Method 489
14.2 Interpreting the Lagrange Multiplier 496
14.3 Several Solution Candidates 499
14.4 Why the Lagrange Multiplier Method
Works 501
14.5 Sufficient Conditions 505
14.6 More Variables and More Constraints 508
14.7 Comparative Statics 514
14.8 Nonlinear Programming: A Simple Case 517
14.9 More on Nonlinear Programming 523
Review Problems for Chapter 14 530
15 Matrix and Vector
Algebra 533
15.1 Systems of Linear Equations 533
15.2 Matrices and Matrix Operations 537
15.3 Matrix Multiplication 540
15.4 Rules for Matrix Multiplication 545
15.5 The Transpose 551
15.6 Gaussian Elimination 554
15.7 Vectors 559
15.8 Geometrie Interpretation of Vectors 562
15.9 Lines and Planes 567
Review Problems for Chapter 15 571
16 Determinantsand
Inverse Matrices 573
16.1 Determinants of Order 2 573
16.2 Determinants of Order 3 576
16.3 Determinants of Order n 580
16.4 Basic Rules for Determinants 583
16.5 Expansion by Cofactors 588
16.6 The Inverse of a Matrix 591
16.7 A General Formula for the Inverse 597
16.8 Cramer sRule 600
16.9 The Leontief Model 603
Review Problems for Chapter 16 607
17 Linear Programming 609
17.1 A Graphical Approach 609
17.2 Introduction to Duality Theory 615
17.3 The Duality Theorem 619
17.4 A General Economic Interpretation 622
17.5 Complementary Slackness 624
Review Problems for Chapter 17 629
Appendix: Geometry 631
The Greek Alphabet 633
Answers to the Problems 635
Index 715
|
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| author | Sydsæter, Knut 1937-2012 Hammond, Peter J. 1945- |
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| author_role | aut aut |
| author_sort | Sydsæter, Knut 1937-2012 |
| author_variant | k s ks p j h pj pjh |
| building | Verbundindex |
| bvnumber | BV035279355 |
| callnumber-first | H - Social Science |
| callnumber-label | HB135 |
| callnumber-raw | HB135 |
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| dewey-ones | 330 - Economics |
| dewey-raw | 330.0151 |
| dewey-search | 330.0151 |
| dewey-sort | 3330.0151 |
| dewey-tens | 330 - Economics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 3. ed. |
| format | Book |
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| indexdate | 2024-07-09T21:30:18Z |
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| isbn | 9780273713241 9781408200995 |
| language | English |
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| spelling | Sydsæter, Knut 1937-2012 Verfasser (DE-588)129255114 aut Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond Economic analysis 3. ed. Harlow ; Munich [u.a.] FT Prentice Hall 2008 XIV, 721 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Economics, Mathematical E-Tutorial (DE-588)1052163807 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Wirtschaftswissenschaften (DE-588)4066528-8 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Integralrechnung (DE-588)4027232-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content (DE-588)4123623-3 Lehrbuch gnd-content Mathematik (DE-588)4037944-9 s E-Tutorial (DE-588)1052163807 s Wirtschaftswissenschaften (DE-588)4066528-8 s Integralrechnung (DE-588)4027232-1 s Statistik (DE-588)4056995-0 s Wirtschaftsmathematik (DE-588)4066472-7 s Algebra (DE-588)4001156-2 s 1\p DE-604 Hammond, Peter J. 1945- Verfasser (DE-588)129255122 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017084588&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sydsæter, Knut 1937-2012 Hammond, Peter J. 1945- Essential mathematics for economic analysis Economics, Mathematical E-Tutorial (DE-588)1052163807 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Statistik (DE-588)4056995-0 gnd Algebra (DE-588)4001156-2 gnd Integralrechnung (DE-588)4027232-1 gnd Mathematik (DE-588)4037944-9 gnd |
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| title | Essential mathematics for economic analysis |
| title_alt | Economic analysis |
| title_auth | Essential mathematics for economic analysis |
| title_exact_search | Essential mathematics for economic analysis |
| title_full | Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond |
| title_fullStr | Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond |
| title_full_unstemmed | Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond |
| title_short | Essential mathematics for economic analysis |
| title_sort | essential mathematics for economic analysis |
| topic | Economics, Mathematical E-Tutorial (DE-588)1052163807 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Statistik (DE-588)4056995-0 gnd Algebra (DE-588)4001156-2 gnd Integralrechnung (DE-588)4027232-1 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Economics, Mathematical E-Tutorial Wirtschaftsmathematik Wirtschaftswissenschaften Statistik Algebra Integralrechnung Mathematik Einführung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017084588&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sydsæterknut essentialmathematicsforeconomicanalysis AT hammondpeterj essentialmathematicsforeconomicanalysis AT sydsæterknut economicanalysis AT hammondpeterj economicanalysis |