Essential mathematics for economic analysis:
Saved in:
| Other Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow ; London ; New York [und 19 weitere]
Pearson
[2016]
|
| Edition: | 5th edition |
| Series: | Always learning
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | xvi, 807 Seiten Diagramme |
| ISBN: | 9781292074610 1292074612 |
Staff View
MARC
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| 245 | 1 | 0 | |a Essential mathematics for economic analysis |c Knut Sydsæter, Peter Hammond, Arne Strøm and Andrés Carvajal |
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CONTENTS
Preface xi
Publisher's
Acknowledgement xvii
1 Essentials of Logic and
Set Theory 1
l.i Essentials of Set Theory 1
1.2 Some Aspects of Logic 7
1.3 Mathematical Proofs 12
1.4 Mathematical Induction 14
Review Exercises 16
2 Algebra 19
2.1 The Real Numbers 19
2.2 Integer Powers 22
2.3 Rules of Algebra 28
2.4 Fractions 33
2.5 Fractional Powers 38
2.6 Inequalities 43
2.7 Intervals and Absolute Values 49
2.8 Summation 52
2.9 Rules for Sums 56
2.10 Newton’s Binomial Formula 59
2.i: 1 Double Sums 61
Review Exercises 62
3 Solving Equations 67
3.1 Solving Equations 67
3.2 Equations and Their Parameters 70
3.3 Quadratic Equations 73
3.4 Nonlinear Equations 78
3.5 Using Implication Arrows 80
3.6 Two Linear Equations in Two
Unknowns 82
Review Exercises 86
4 Functions of One Variable 89
4.1 Introduction 89
4.2 Basic Definitions 90
4.3 Graphs of Functions 96
4.4 Linear Functions 99
4.5 Linear Models 106
4.6 Quadratic Functions 109
4.7 Polynomials 116
4.8 Power Functions 123
4.9 Exponential Functions 126
4.10 Logarithmic Functions 131
Review Exercises 136
5 Properties of Functions 141
5.1 Shifting Graphs 141
5.2 New Functions from Old 146
viii CONTENTS
5.3 Inverse Functions 150
5.4 Graphs of Equations 156
5.5 Distance in the Plane 160
5.6 General Functions 163
Review Exercises 166
6 Differentiation 169
6.1 Slopes of Curves 169
6.2 Tangents and Derivatives 171
6.3 Increasing and Decreasing Functions 176
6.4 Rates of Change 179
6.5 A Dash of Limits 182
6.6 Simple Rules for Diiferentiation 188
6.7 Sums, Products, and Quotients 192
6.8 The Chain Rule 198
6.9 Higher-Order Derivatives 203
6.10 Exponential Functions 208
6.11 Logarithmic Functions 212
Review Exercises 218
7 Derivatives in Use 221
7.1 Implicit Diiferentiation 221
7.2 Economic Examples 228
7.3 Differentiating the Inverse 232
7.4 Linear Approximations 235
7.5 Polynomial Approximations 239
7.6 Taylor’s Formula 243
7.7 Elasticities 246
7.8 Continuity 251
7.9 More on Limits 257
7.10 The Intermediate Value Theorem and
Newton’s Method 266
7.11 Infinite Sequences 270
7.12 L’Hopital’s Rule 273
Review Exercises 278
8 Single-Variable
Optimization 283
8.1 Extreme Points 283
8.2 Simple Tests for Extreme Points 287
8.3 Economic Examples 290
8.4 The Extreme Value Theorem 294
8.5 Further Economic Examples 300
8.6 Local Extreme Points 305
8.7 Inflection Points, Concavity, and
Convexity 311
Review Exercises 316
9 Integration 319
9.1 Indefinite Integrals 319
9.2 Area and Definite Integrals 325
9.3 Properties of Definite Integrals 332
9.4 Economic Applications 336
9.5 Integration by Parts 343
9.6 Integration by Substitution 347
9.7 Infinite Intervals of Integration 352
9.8 A Glimpse at Differential Equations 359
9.9 Separable and Linear Differential
Equations 365
Review Exercises 371
10 Topics in Financial
Mathematics 375
10.1 Interest Periods and Effective Rates 375
10.2 Continuous Compounding 379
10.3 Present Value 381
10.4 Geometric Series 383
10.5 Total Present Value 390
10.6 Mortgage Repayments 395
10.7 Internal Rate of Return 399
10.8 A Glimpse at Difference Equations 401
Review Exercises 404
11 Functions of Many
Variables 407
11.1 Functions of Two Variables 407
11.2 Partial Derivatives with Two Variables 411
11.3 Geometric Representation 417
11.4 Surfaces and Distance 424
11.5 Functions of More Variables 427
11.6 Partial Derivatives with More
Variables 431
11.7 Economic Applications 435
11.8 Partial Elasticities 437
Review Exercises 439
CONTENTS ¡X
12 Tools for Comparative
Statics 443
12.1 A Simple Chain Rule 443
12.2 Chain Rules for Many Variables 448
12.3 Implicit Differentiation along a Level
Curve 452
12.4 More General Cases 457
12.5 Elasticity of Substitution 460
12.6 Homogeneous Functions of Two
Variables 463
12.7 Homogeneous and Homothetic
Functions 468
12.8 Linear Approximations 474
12.9 Differentials 477
12.10 Systems of Equations 482
12.11 Differentiating Systems of Equations 486
Review Exercises 492
13 Multivariable
Optimization 495
13.1 Two Choice Variables: Necessary
Conditions 495
13.2 Two Choice Variables: Sufficient
Conditions 500
13.3 Local Extreme Points 504
13.4 Linear Models with Quadratic
Objectives 509
13.5 The Extreme Value Theorem 516
13.6 The General Case 521
13.7 Comparative Statics and the Envelope
Theorem 525
Review Exercises 529
14 Constrained
Optimization 533
14.1 The Lagrange Multiplier Method 533
14.2 Interpreting the Lagrange Multiplier 540
14.3 Multiple Solution Candidates 543
14.4 Why the Lagrange Method Works 545
14.5 Sufficient Conditions 549
14.6 Additional Variables and Constraints 552
14.7 Comparative Statics 558
14.8 Nonlinear Programming: A Simple
Case 563
14.9 Multiple Inequality Constraints 569
14.10 Nonnegativity Constraints 574
Review Exercises 578
15 Matrrx and
Vector Algebra 581
15.1 Systems of Linear Equations 581
15.2 Matrices and Matrix Operations 584
15.3 Matrix Multiplication 588
15.4 Rules for Matrix Multiplication 592
15.5 The Transpose 599
15.6 Gaussian Elimination 602
15.7 Vectors 608
15.8 Geometric Interpretation of Vectors 611
15.9 Lines and Planes 617
Review Exercises 620
16 Determinants and
Inverse Matrices 623
16.1 Determinants of Order 2 623
16.2 Determinants of Order 3 627
16.3 Determinants in General 632
16.4 Basic Rules for Determinants 636
16.5 Expansion by Cofactors 640
16.6 The Inverse of a Matrix 644
16.7 A General Formula for the Inverse 650
16.8 Cramer’s Rule 653
16.9 The Leontief Model 657
Review Exercises 661
17 Linear Programming 665
17.1 A Graphical Approach 666
17.2 Introduction to Duality Theory 672
17.3 The Duality Theorem 675
17.4 A General Economic Interpretation 679
17.5 Complementary Slackness 681
Review Exercises 686
Appendix 689
Solutions to the Exercises 693
Index
801
X CONTENTS
Supporting resources
Visit www.pearsoned.co.uk/sydsaeter to find valuable online resources
For students
• A new Student’s Manual provides more detailed solutions to the problems marked (SM)
in the book
For instructors
• The fully updated Instructor’s Manual provides instructors with a collection of problems
that can be used for tutorials and exams
For more information, please contact your local Pearson Education sales representative
or visit www.pearsoned.co.uk/sydsaeter |
| any_adam_object | 1 |
| author2 | Sydsæter, Knut 1937-2012 Hammond, Peter J. 1945- Strom, Arne Carvajal, Andrés |
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| callnumber-first | H - Social Science |
| callnumber-label | HB135 |
| callnumber-raw | HB135 HB135 .S886 2016 |
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| dewey-tens | 330 - Economics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 5th edition |
| format | Book |
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| genre | (DE-588)4151278-9 Einführung gnd-content (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Einführung Lehrbuch |
| id | DE-604.BV043798013 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-20T07:05:42Z |
| institution | BVB |
| isbn | 9781292074610 1292074612 |
| language | English |
| lccn | 2016015992 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029209424 |
| oclc_num | 958007513 |
| open_access_boolean | |
| owner | DE-473 DE-BY-UBG DE-521 DE-1043 DE-860 DE-1050 DE-19 DE-BY-UBM DE-83 DE-862 DE-BY-FWS DE-2070s DE-573 DE-706 DE-703 DE-739 DE-92 |
| owner_facet | DE-473 DE-BY-UBG DE-521 DE-1043 DE-860 DE-1050 DE-19 DE-BY-UBM DE-83 DE-862 DE-BY-FWS DE-2070s DE-573 DE-706 DE-703 DE-739 DE-92 |
| physical | xvi, 807 Seiten Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Pearson |
| record_format | marc |
| series2 | Always learning |
| spellingShingle | Essential mathematics for economic analysis BUSINESS & ECONOMICS / Economics / General BUSINESS & ECONOMICS / Reference Wirtschaft Economics, Mathematical Wirtschaftsmathematik (DE-588)4066472-7 gnd E-Tutorial (DE-588)1052163807 gnd Algebra (DE-588)4001156-2 gnd Integralrechnung (DE-588)4027232-1 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Mathematik (DE-588)4037944-9 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4066472-7 (DE-588)1052163807 (DE-588)4001156-2 (DE-588)4027232-1 (DE-588)4066528-8 (DE-588)4037944-9 (DE-588)4056995-0 (DE-588)4151278-9 (DE-588)4123623-3 |
| title | Essential mathematics for 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, Peter Hammond, Arne Strøm and Andrés Carvajal |
| title_fullStr | Essential mathematics for economic analysis Knut Sydsæter, Peter Hammond, Arne Strøm and Andrés Carvajal |
| title_full_unstemmed | Essential mathematics for economic analysis Knut Sydsæter, Peter Hammond, Arne Strøm and Andrés Carvajal |
| title_short | Essential mathematics for economic analysis |
| title_sort | essential mathematics for economic analysis |
| topic | BUSINESS & ECONOMICS / Economics / General BUSINESS & ECONOMICS / Reference Wirtschaft Economics, Mathematical Wirtschaftsmathematik (DE-588)4066472-7 gnd E-Tutorial (DE-588)1052163807 gnd Algebra (DE-588)4001156-2 gnd Integralrechnung (DE-588)4027232-1 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Mathematik (DE-588)4037944-9 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | BUSINESS & ECONOMICS / Economics / General BUSINESS & ECONOMICS / Reference Wirtschaft Economics, Mathematical Wirtschaftsmathematik E-Tutorial Algebra Integralrechnung Wirtschaftswissenschaften Mathematik Statistik Einführung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029209424&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sydsæterknut essentialmathematicsforeconomicanalysis AT hammondpeterj essentialmathematicsforeconomicanalysis AT stromarne essentialmathematicsforeconomicanalysis AT carvajalandres essentialmathematicsforeconomicanalysis |
Indexes
THWS Schweinfurt Zentralbibliothek Lesesaal
| Call Number: |
2000 QH 110 S982 E7(5) |
|---|---|
| Copy 1 | ausleihbar Available Place a Hold |