Essential mathematics for economics and business:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester, West Sussex
Wiley
2009
|
| Ausgabe: | 3. ed., repr. with corr. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 668 S. Ill., graph. Darst. |
| ISBN: | 9780470018569 |
Internformat
MARC
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| 100 | 1 | |a Bradley, Teresa |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Essential mathematics for economics and business |c Teresa Bradley |
| 250 | |a 3. ed., repr. with corr. | ||
| 264 | 1 | |a Chichester, West Sussex |b Wiley |c 2009 | |
| 300 | |a XIV, 668 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Wirtschaftsmathematik |0 (DE-588)4066472-7 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1812603812574134272 |
|---|---|
| adam_text |
Contents
Introduction
xi
CHAPTER
1
Mathematical Preliminaries
1
1.1
Some Mathematical Preliminaries
2
1.2
Arithmetic Operations
2
1.3
Fractions
5
1.4
Solving Equations
8
1.5
Currency Conversions
10
1.6
Simple Inequalities
15
1.7
Calculating Percentages
18
1.8
The Calculator: Evaluation and Transposition of Formulae
21
1.9
Introducing Excel
27
CHAPTER
2
The Straight Line and Applications
37
2.1
The Straight Line
38
2.2
Mathematical Modelling
55
2.3
Applications: Demand, Supply, Cost, Revenue
60
2.4
More Mathematics on the Straight Line
76
2.5
Translations of Linear Functions (on the website)
82
2.6
Elasticity of Demand, Supply and Income
83
2.7
Budget and Cost Constraints (on the website)
91
2.8
Excel for Linear Functions
92
2.9
Summary
97
CHAPTER
3
Simultaneous Equations
101
3.1
Solving Simultaneous Linear Equations
102
3.2
Equilibrium and Break-even 111
3.3
Consumer and Producer Surplus
127
3.4
The National Income Model and the
ÍS-LM
Model
132
3.5
Excel for Simultaneous Linear Equations
137
3.6
Summary
142
Appendix
143
----- [
V¡¡¡
] --------------------------------------------------------------------------------------------------------
Contents
CHAPTER
4
Non-linear Functions and Applications
147
4-1
Quadratic, Cubic and Other Polynomial Functions
148
4-2
Exponential Functions
170
4.3
Logarithmic Functions
184
4-4
Hyperbolic Functions of the Form a/(bx
+
c)
196
4-5
Excel for Non-linear Functions
202
4-6
Summary
204
CHAPTER
5
Financial Mathematics
207
5.1
Arithmetic and Geometric Sequences and Series
208
5.2
Simple Interest, Compound Interest and Annual Percentage Rates
216
5.3
Depreciation
226
5.4
Net Present Value and Internal Rate of Return
228
5.5
Annuities, Debt Repayments, Sinking Funds
234
5.6
The Relationship between Interest Rates and the Price of Bonds
246
5.7
Excel for Financial Mathematics
249
5.8
Summary
252
Appendix
254
CHAPTER
6
Differentiation and Applications
257
6.1
Slope of a Curve and Differentiation
258
6.2
Applications of Differentiation, Marginal Functions, Average Functions
268
6.3
Optimisation for Functions of One Variable
284
6.4
Economic Applications of Maximum and Minimum Points
301
6.5
Curvature and Other Applications
317
6.6
Further Differentiation and Applications
331
6.7
Elasticity and the Derivative
344
6.8
Summary
354
CHAPTER
7
Functions of Several Variables
359
7.1
Partial Differentiation
360
7.2
Applications of Partial Differentiation
378
7.3
Unconstrained Optimisation
398
7.4
Constrained Optimisation and
Lagrange
Multipliers
408
7.5
Summary
420
CHAPTER
8
Integration and Applications
425
8.1
Integration as the Reverse of Differentiation
426
8.2
The Power Rule for Integration
427
8.3
Integration of the Natural Exponential Function
433
8.4
Integration by Algebraic Substitution
434
8.5
The Definite Integral and the Area under a Curve
439
_ [ix] —
Contents
8.6
Consumer and Producer Surplus
446
8.7
First-order Differential Equations and Applications
454
8.8
Differential Equations for Limited and Unlimited Growth
466
8.9
Summary
471
CHAPTER
9
Linear Algebra and Applications
475
9.1
Linear Programming
476
9.2
Matrices
486
9.3
Solution of Equations: Elimination Methods
496
9.4
Determinants
502
9.5
The Inverse Matrix and Input/Output Analysis
516
9.6
Excel for Linear Algebra
529
9.7
Summary
532
CHAPTER
10
Difference Equations
537
10.1
Introduction to Difference Equations
538
10.2
Solution of Difference Equations (First-order)
540
10.3
Applications of Difference Equations (First-order)
552
10.4
Summary
562
Solutions to Progress Exercises
565
Bibliography
651
List of Worked Examples
653
Index
659 |
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| id | DE-604.BV036474225 |
| illustrated | Illustrated |
| indexdate | 2024-10-11T08:01:41Z |
| institution | BVB |
| isbn | 9780470018569 |
| language | English |
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| physical | XIV, 668 S. Ill., graph. Darst. |
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| spelling | Bradley, Teresa Verfasser aut Essential mathematics for economics and business Teresa Bradley 3. ed., repr. with corr. Chichester, West Sussex Wiley 2009 XIV, 668 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 s DE-604 Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020345854&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bradley, Teresa Essential mathematics for economics and business Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| subject_GND | (DE-588)4066472-7 |
| title | Essential mathematics for economics and business |
| title_auth | Essential mathematics for economics and business |
| title_exact_search | Essential mathematics for economics and business |
| title_full | Essential mathematics for economics and business Teresa Bradley |
| title_fullStr | Essential mathematics for economics and business Teresa Bradley |
| title_full_unstemmed | Essential mathematics for economics and business Teresa Bradley |
| title_short | Essential mathematics for economics and business |
| title_sort | essential mathematics for economics and business |
| topic | Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| topic_facet | Wirtschaftsmathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020345854&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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