Essential mathematics for economic analysis:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow [u.a.]
Pearson
2012
|
| Edition: | 4. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XVIII, 745 S. graph. Darst. |
| ISBN: | 9780273760689 |
Staff View
MARC
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| 245 | 1 | 0 | |a Essential mathematics for economic analysis |c Knut Sydsæter and Peter Hammond. With Arne Strøm |
| 250 | |a 4. ed. | ||
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| adam_text | CONTENTS
ľrerace
XI
3.3
Double Sums
59
3.4
A Few Aspects of Logic
61
1
Introductory Topics I: Algebra
1
3.5
Mathematical Proofs
67
1.1
The Real Numbers
1
3.6
Essentials of Set Theory
69
1.2
Integer Powers
4
3.7
Mathematical Induction
75
1.3
Rules of Algebra
10
Review Problems for Chapter
3
77
1.4
Fractions
1.5
Fractional Powers
14
19
4
Functions of One Variable
79
1.6
Inequalities
24
4.1
Introduction
79
1.7
Intervals and Absolute Values
29
4.2
Basic Definitions
80
Review Problems for Chapter
1
32
4.3
Graphs of Functions
86
4.4
Linear Functions
89
2
Introductory Topics II:
4.5
Linear Models
95
Equations
35
4.6
Quadratic Functions
99
2.1
How to Solve Simple Equations
35
4.7
Polynomials
105
2.2
Equations with Parameters
38
4.8
Power Functions
112
2.3
Quadratic Equations
41
4.9
Exponential Functions
114
2.4
Linear Equations in Two Unknowns
46
4.10
Logarithmic Functions
119
2.5
Nonlinear Equations
48
Review Problems for Chapter
4
124
Review Problems for Chapter
2
49
5
Properties of Functions
127
3
introductory Topics III:
5.1
Shifting Graphs
127
Miscellaneous
51
5.2
New Functions from Old
132
3.1
Summation Notation
51
5.3
Inverse Functions
136
3.2
Rules for Sums. Newton s Binomial
5.4
Graphs of Equations
143
Formula
55
5.5
Distance in the Plane. Circles
146
VIII CONTENTS
5.6
General
Functions
150
Review Problems for Chapter
5 153
6
Differentiation
155
6.1
Slopes of Curves
155
6.2
Tangents and Derivatives
157
6.3
Increasing and Decreasing Functions
163
6.4
Rates of Change
165
6.5
A Dash of 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
188
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
214
7.4
Linear Approximations
217
7.5
Polynomial Approximations
221
7.6
Taylor s Formula
225
7.7
Why Economists Use Elasticities
228
7.8
Continuity
233
7.9
More on Limits
237
7.10
Intermediate Value Theorem.
Newton s Method
245
7.11
Infinite Sequences
249
7.12
L Hôpitaľs
Rule
251
Review Problems for Chapter
7 256
8
Single-Variable
Optimization
259
8.1
Introduction
259
8.2
Simple Tests for Extreme Points
262
8.3
Economic Examples
266
8.4
The Extreme Value Theorem
270
8.5
Further Economic Examples
276
8.6
Local Extreme Points
281
8.7
Inflection Points
287
Review Problems for Chapter
8 291
9
Integration
293
9.1
Indefinite Integrals
293
9.2
Area and Definite Integrals
299
9.3
Properties of Definite Integrals
305
9.4
Economic Applications
309
9.5
Integration by Parts
315
9.6
Integration by Substitution
319
9.7
Infinite Intervals of Integration
324
9.8
A Glimpse at Differential Equations
330
9.9
Separable and Linear Differential
Equations
336
Review Problems for Chapter
9 341
10
Topics in Financial
Economics
345
10.1
Interest Periods and Effective Rates
345
10.2
Continuous Compounding
349
10.3
Present Value
351
10.4
Geometric Series
353
10.5
Total Present Value
359
10.6
Mortgage Repayments
364
10.7
Internal Rate of Return
369
10.8
A Glimpse at Difference Equations
371
Review Problems for Chapter
10 374
11
Functions of Many
Variables
377
11.1
Functions of Two Variables
377
11.2
Partial Derivatives with Two Variables
381
11.3
Geometric Representation
387
11.4
Surfaces and Distance
393
11.5
Functions of More Variables
396
11.6
Partial Derivatives with More Variables
400
11.7
Economic Applications
404
11.8
Partial Elasticities
406
Review Problems for Chapter
11 408
12
Tools for Comparative
Statics
411
12.1
A Simple Chain Rule
411
12.2
Chain Rules for Many Variables
416
12.3
Implicit Differentiation along a
Level Curve
420
12.4
More General Cases
424
12.5
Elasticity of
Substitution 428
12.6
Homogeneous Functions of
Two Variables
431
12.7
Homogeneous and Homothetic
Functions
435
12.8
Linear Approximations
440
12.9
Differentials
444
12.10
Systems of Equations
449
12.11
Differentiating Systems of Equations
452
Review Problems for Chapter
12 458
13
Multivariable
Optimization
461
13.1
Two Variables: Necessary Conditions
461
13.2
Two Variables: Sufficient Conditions
466
13.3
Local Extreme Points
470
13.4
Linear Models with Quadratic
Objectives
475
13.5
The Extreme Value Theorem
482
13.6
Three or More Variables
487
13.7
Comparative Statics and the
Envelope Theorem
491
Review Problems for Chapter
13 495
14
Constrained Optimization
497
14.1
The
Lagrange
Multiplier Method
497
14.2
Interpreting the
Lagrange
Multiplier
504
14.3
Several Solution Candidates
507
14.4
Why the
Lagrange
Method Works
509
14.5
Sufficient Conditions
513
14.6
Additional Variables and Constraints
516
14.7
Comparative Statics
522
14.8
Nonlinear Programming:
A Simple Case
526
14.9
Multiple Inequality Constraints
532
14.10
Nonnegativity Constraints
537
Review Problems for Chapter
14 541
15
Matrix and Vector
Algebra
545
15.1
Systems of Linear Equations
545
15.2
Matrices and Matrix Operations
548
15.3
Matrix Multiplication
551
15.4
Rules for Matrix Multiplication
556
CONTENTS
IX
15.5
The Transpose
562
15.6
Gaussian Elimination
565
15.7
Vectors
570
15.8
Geometric Interpretation of Vectors
573
15.9
Lines and Planes
578
Review Problems for Chapter
15
582
16
Determinants and
Inverse Matrices
585
16.1
Determinants of Order
2 585
16.2
Determinants of Order
3 589
16.3
Determinants of Order
η
593
16.4
Basic Rules for Determinants
596
16.5
Expansion by Cofactors
601
16.6
The Inverse of a Matrix
604
16.7
A General Formula for the Inverse
610
16.8
Cramer s Rule
613
16.9
The
Leontief
Model
616
Review Problems for Chapter
16 621
17
Linear Programming
623
17.1
A Graphical Approach
623
17.2
Introduction to Duality Theory
629
17.3
The Duality Theorem
633
17.4
A General Economic Interpretation
636
17.5
Complementary Slackness
638
Review Problems for Chapter
17 643
Appendix: Geometry
645
The Greek Alphabet
647
Answers to the Problems f>49
Index
739
|
| any_adam_object | 1 |
| author | Sydsæter, Knut 1937-2012 Hammond, Peter J. 1945- Strom, Arne |
| author_GND | (DE-588)129255114 (DE-588)129255122 |
| author_facet | Sydsæter, Knut 1937-2012 Hammond, Peter J. 1945- Strom, Arne |
| author_role | aut aut aut |
| author_sort | Sydsæter, Knut 1937-2012 |
| author_variant | k s ks p j h pj pjh a s as |
| building | Verbundindex |
| bvnumber | BV040356297 |
| classification_rvk | QH 100 QH 110 SK 980 |
| ctrlnum | (OCoLC)820463600 (DE-599)BVBBV040356297 |
| dewey-full | 330.015122 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 330 - Economics |
| dewey-raw | 330.015122 |
| dewey-search | 330.015122 |
| dewey-sort | 3330.015122 |
| dewey-tens | 330 - Economics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 4. ed. |
| format | Book |
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| id | DE-604.BV040356297 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T06:37:48Z |
| institution | BVB |
| isbn | 9780273760689 |
| language | English |
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| physical | XVIII, 745 S. graph. Darst. |
| publishDate | 2012 |
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| publisher | Pearson |
| record_format | marc |
| spellingShingle | Sydsæter, Knut 1937-2012 Hammond, Peter J. 1945- Strom, Arne Essential mathematics for economic analysis Economics, Mathematical E-Tutorial (DE-588)1052163807 gnd Mathematik (DE-588)4037944-9 gnd Integralrechnung (DE-588)4027232-1 gnd Algebra (DE-588)4001156-2 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Statistik (DE-588)4056995-0 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd |
| subject_GND | (DE-588)1052163807 (DE-588)4037944-9 (DE-588)4027232-1 (DE-588)4001156-2 (DE-588)4066472-7 (DE-588)4056995-0 (DE-588)4066528-8 (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 and Peter Hammond. With Arne Strøm |
| title_fullStr | Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond. With Arne Strøm |
| title_full_unstemmed | Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond. With Arne Strøm |
| title_short | Essential mathematics for economic analysis |
| title_sort | essential mathematics for economic analysis |
| topic | Economics, Mathematical E-Tutorial (DE-588)1052163807 gnd Mathematik (DE-588)4037944-9 gnd Integralrechnung (DE-588)4027232-1 gnd Algebra (DE-588)4001156-2 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Statistik (DE-588)4056995-0 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd |
| topic_facet | Economics, Mathematical E-Tutorial Mathematik Integralrechnung Algebra Wirtschaftsmathematik Statistik Wirtschaftswissenschaften Einführung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025210247&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 |
Indexes
THWS Schweinfurt Zentralbibliothek Lesesaal
| Call Number: |
2000 QH 110 S982 E7(4) |
|---|---|
| Copy 1 | ausleihbar Available Place a Hold |