Mathematics for economics and business:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
London [u.a.]
McGraw-Hill Higher Education
2008
|
Schlagworte: | |
Online-Zugang: | lizenzfrei Inhaltsverzeichnis |
Beschreibung: | XIII, 316 S. graph. Darst. |
ISBN: | 0077107861 9780077107864 |
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Datensatz im Suchindex
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adam_text | IMAGE 1
MATHEMATICS
FOR ECONOMICS AND BUSINESS
REBECCA TAYLOR AND SIMON HAWKINS
ME GRAUU HILL MCGRAW-HILL HIGHER EDUCATION LONDON BOSTON BURR RIDGE, IL
DUBUQUE, IA MADISON, WL NEW YORK SAN FRANCISCO ST. LOUIS BANGKOK BOGOTA
CARACAS KUALA LUMPUR LISBON MADRID MEXICO CITY MILAN MONTREAL NEW DELHI
SANTIAGO SEOUL SINGAPORE SYDNEY TAIPEI TORONTO
IMAGE 2
-* W, |J.
. - * * »*
DETAILED TABLE OF CONTENTS
PREFACE GUIDED TOUR TECHNOLOGY TO ENHANCE LEARNING AND TEACHING
ACKNOWLEDGEMENTS 1 MATHEMATICAL REVIEW 1.1 INTRODUCTION 1.2 THE
ARITHMETIC OPERATORS 1.3 FRACTIONS 1.4 PERCENTAGES 1.5 POWERS 1.6
LOGARITHMS 1.7 BASIC RULES OF ALGEBRA ANSWERS TO QUICK PROBLEMS 2 LINEAR
EQUATIONS 2.1 INTRODUCTION 2.2 CO-ORDINATES 2.3 LINEAR FORM 2.4 EQUATION
OF A LINE 2.5 INTERSECTION 2.6 APPLICATION OF LINEAR EQUATIONS IN
ECONOMICS ANSWERS TO QUICK PROBLEMS 3 LINEAR EQUATIONS: FURTHER TOPICS
3.1 INTRODUCTION 3.2 SIMULTANEOUS LINEAR EQUATIONS WITH MORE THAN TWO
UNKNOWNS 3.3 MARKET EQUILIBRIUM AND CHANGES IN SUPPLY OR DEMAND 3.4
COST, VOLUME AND PROFIT ANALYSIS 3.5 EFFECTS OF A PER UNIT TAX 3.6
MACROECONOMIC MODELS ANSWERS TO QUICK PROBLEMS 4 LINEAR PROGRAMMING 4.1
INTRODUCTION 4.2 GRAPHING INEQUALITIES 4.3 GRAPHING SIMULTANEOUS LINEAR
INEQUALITIES 4.4 THE OBJECTIVE FUNCTION 4.5 UNBOUNDED FEASIBLE REGIONS
4.6 APPLICATION OF LINEAR PROGRAMMING IN ECONOMICS ANSWERS TO QUICK
PROBLEMS VIII
IX
X
XIII
7 2 2 4
7
72 16 17 22
27 28 28 29
34 38
44 56
59 60
60
66
71 73 ,
76 86
89 90 90
95 98 104
105 113
5 FINANCE AND GROWTH 5.1 INTRODUCTION 5.2 ARITHMETIC PROGRESSIONS 5.3
GEOMETRIC PROGRESSIONS 5.4 PRACTICAL APPLICATIONS: SIMPLE
AND COMPOUND INTEREST 5.5 PRACTICAL APPLICATIONS: INVESTMENT APPRAISAL
5.6 A FURTHER PRACTICAL APPLICATION:
ECONOMIC GROWTH ANSWERS TO QUICK PROBLEMS
6 NON-LINEAR EQUATIONS AND PRINCIPLES OF DIFFERENTIATION 6.1
INTRODUCTION 6.2 FUNCTIONS WITH MORE THAN ONE
INDEPENDENT VARIABLE 6.3 FACTORIZATION 6.4 THE QUADRATIC FORMULA 6.5
ECONOMICS APPLICATION OF
QUADRATIC EQUATIONS 6.6 BASIC PRINCIPLES OF DIFFERENTIATION 6.7 THE
SIMPLE DERIVATIVE 6.8 THE SUM RULE AND THE
DIFFERENCE RULE 6.9 THE PRODUCT RULE 6.10 THE QUOTIENT RULE 6.11 THE
CHAIN RULE
ANSWERS TO QUICK PROBLEMS
7 MARGINAL CONCEPTS AND OPTIMIZATION 7.1 INTRODUCTION 7.2 MARGINAL
FUNCTIONS 7.3 DEMAND, TOTAL REVENUE AND
MARGINAL REVENUE 7.4 TOTAL AND MARGINAL COST 7.5 PRODUCTION 7.6
CONSUMPTION AND SAVINGS
7.7 SECOND-ORDER DERIVATIVES 7.8 OPTIMIZATION 7.9 THE USE OF
OPTIMIZATION IN ECONOMICS
ANSWERS TO QUICK PROBLEMS
8 PARTIAL DIFFERENTIATION 8.1 INTRODUCTION 8.2 FUNCTIONS OF TWO
VARIABLES 8.3 PARTIAL DERIVATIVES
777 118 119 123
129
132
140 144
153 154
154 160 163
168 173 173
180 182 185
186 188
191 192 192
193 197 198 202 203 205
210 213
215 216 216 217
VI
IMAGE 3
DETAILED TABLE OF CONTENTS
VU
8.4 SECOND-ORDER PARTIAL DERIVATIVES 8.5 CHANGES TO INDEPENDENT AND
DEPENDENT VARIABLES 8.6 PARTIAL ELASTICITY 8.7 PARTIAL DIFFERENTIATION
AND
MARGINAL FUNCTIONS 8.8 UNCONSTRAINED OPTIMIZATION 8.9 CONSTRAINED
OPTIMIZATION 8.10 LAGRANGE MULTIPLIERS
ANSWERS TO QUICK PROBLEMS
INTEGRATION 9.1 INTRODUCTION INDEFINITE INTEGRATION
INTEGRATING- 9.2 9.3
9.4 INTEGRATING USING EXPONENTIALS (E ) 9.5 INTEGRATING EXPRESSIONS WITH
MULTIPLE TERMS 9.6 APPLICATION OF INDEFINITE
INTEGRATION
9.7 DEFINITE INTEGRALS 9.8 APPLYING DEFINITE INTEGRALS: CONSUMER SURPLUS
9.9 APPLYING DEFINITE INTEGRALS:
PRODUCER SURPLUS
279
227 223
225 231 237 240 244
247 248 249
252
253
254
255 260
265
267
9.10 DEFINITE INTEGRALS USING EXPONENTIALS 267
ANSWERS TO QUICK PROBLEMS 269
10 MATRICES 275
10.1 INTRODUCTION 276
10.2 DEFINITIONS, NOTATION AND OPERATIONS 276
10.3 VECTORS 279
10.4 ADDING AND SUBTRACTING MATRICES 280
10.5 DEALING WITH ZERO MATRICES 282 10.6 SCALAR MULTIPLICATION OF
MATRICES 282
10.7 MULTIPLYING MATRICES 284
10.8 MATRIX INVERSION 287
10.9 APPLICATION OF 2 X 2 MATRICES AND INVERSIONS: SOLVING ECONOMIC
EQUATIONS 290
10.10 INVERSIONS OF 3 X 3 MATRICES 292 10.11 APPLICATION OF 3 X 3
MATRICES AND INVERSIONS: SOLVING ECONOMIC EQUATIONS 293
10.12 CRAMER S RULE 300
ANSWERS TO QUICK PROBLEMS 304
INDEX 309
|
adam_txt |
IMAGE 1
MATHEMATICS
FOR ECONOMICS AND BUSINESS
REBECCA TAYLOR AND SIMON HAWKINS
ME GRAUU HILL MCGRAW-HILL HIGHER EDUCATION LONDON BOSTON BURR RIDGE, IL
DUBUQUE, IA MADISON, WL NEW YORK SAN FRANCISCO ST. LOUIS BANGKOK BOGOTA
CARACAS KUALA LUMPUR LISBON MADRID MEXICO CITY MILAN MONTREAL NEW DELHI
SANTIAGO SEOUL SINGAPORE SYDNEY TAIPEI TORONTO
IMAGE 2
-* W, |J.
. - * * »*
DETAILED TABLE OF CONTENTS
PREFACE GUIDED TOUR TECHNOLOGY TO ENHANCE LEARNING AND TEACHING
ACKNOWLEDGEMENTS 1 MATHEMATICAL REVIEW 1.1 INTRODUCTION 1.2 THE
ARITHMETIC OPERATORS 1.3 FRACTIONS 1.4 PERCENTAGES 1.5 POWERS 1.6
LOGARITHMS 1.7 BASIC RULES OF ALGEBRA ANSWERS TO QUICK PROBLEMS 2 LINEAR
EQUATIONS 2.1 INTRODUCTION 2.2 CO-ORDINATES 2.3 LINEAR FORM 2.4 EQUATION
OF A LINE 2.5 INTERSECTION 2.6 APPLICATION OF LINEAR EQUATIONS IN
ECONOMICS ANSWERS TO QUICK PROBLEMS 3 LINEAR EQUATIONS: FURTHER TOPICS
3.1 INTRODUCTION 3.2 SIMULTANEOUS LINEAR EQUATIONS WITH MORE THAN TWO
UNKNOWNS 3.3 MARKET EQUILIBRIUM AND CHANGES IN SUPPLY OR DEMAND 3.4
COST, VOLUME AND PROFIT ANALYSIS 3.5 EFFECTS OF A PER UNIT TAX 3.6
MACROECONOMIC MODELS ANSWERS TO QUICK PROBLEMS 4 LINEAR PROGRAMMING 4.1
INTRODUCTION 4.2 GRAPHING INEQUALITIES 4.3 GRAPHING SIMULTANEOUS LINEAR
INEQUALITIES 4.4 THE OBJECTIVE FUNCTION 4.5 UNBOUNDED FEASIBLE REGIONS
4.6 APPLICATION OF LINEAR PROGRAMMING IN ECONOMICS ANSWERS TO QUICK
PROBLEMS VIII
IX
X
XIII
7 2 2 4
7
72 16 17 22
27 28 28 29
34 38
44 56
59 60
60
66
71 73 ,
76 86
89 90 90
95 98 104
105 113
5 FINANCE AND GROWTH 5.1 INTRODUCTION 5.2 ARITHMETIC PROGRESSIONS 5.3
GEOMETRIC PROGRESSIONS 5.4 PRACTICAL APPLICATIONS: SIMPLE
AND COMPOUND INTEREST 5.5 PRACTICAL APPLICATIONS: INVESTMENT APPRAISAL
5.6 A FURTHER PRACTICAL APPLICATION:
ECONOMIC GROWTH ANSWERS TO QUICK PROBLEMS
6 NON-LINEAR EQUATIONS AND PRINCIPLES OF DIFFERENTIATION 6.1
INTRODUCTION 6.2 FUNCTIONS WITH MORE THAN ONE
INDEPENDENT VARIABLE 6.3 FACTORIZATION 6.4 THE QUADRATIC FORMULA 6.5
ECONOMICS APPLICATION OF
QUADRATIC EQUATIONS 6.6 BASIC PRINCIPLES OF DIFFERENTIATION 6.7 THE
SIMPLE DERIVATIVE 6.8 THE SUM RULE AND THE
DIFFERENCE RULE 6.9 THE PRODUCT RULE 6.10 THE QUOTIENT RULE 6.11 THE
CHAIN RULE
ANSWERS TO QUICK PROBLEMS
7 MARGINAL CONCEPTS AND OPTIMIZATION 7.1 INTRODUCTION 7.2 MARGINAL
FUNCTIONS 7.3 DEMAND, TOTAL REVENUE AND
MARGINAL REVENUE 7.4 TOTAL AND MARGINAL COST 7.5 PRODUCTION 7.6
CONSUMPTION AND SAVINGS
7.7 SECOND-ORDER DERIVATIVES 7.8 OPTIMIZATION 7.9 THE USE OF
OPTIMIZATION IN ECONOMICS
ANSWERS TO QUICK PROBLEMS
8 PARTIAL DIFFERENTIATION 8.1 INTRODUCTION 8.2 FUNCTIONS OF TWO
VARIABLES 8.3 PARTIAL DERIVATIVES
777 118 119 123
129
132
140 144
153 154
154 160 163
168 173 173
180 182 185
186 188
191 192 192
193 197 198 202 203 205
210 213
215 216 216 217
VI
IMAGE 3
DETAILED TABLE OF CONTENTS
VU
8.4 SECOND-ORDER PARTIAL DERIVATIVES 8.5 CHANGES TO INDEPENDENT AND
DEPENDENT VARIABLES 8.6 PARTIAL ELASTICITY 8.7 PARTIAL DIFFERENTIATION
AND
MARGINAL FUNCTIONS 8.8 UNCONSTRAINED OPTIMIZATION 8.9 CONSTRAINED
OPTIMIZATION 8.10 LAGRANGE MULTIPLIERS
ANSWERS TO QUICK PROBLEMS
INTEGRATION 9.1 INTRODUCTION INDEFINITE INTEGRATION
INTEGRATING- 9.2 9.3
9.4 INTEGRATING USING EXPONENTIALS (E") 9.5 INTEGRATING EXPRESSIONS WITH
MULTIPLE TERMS 9.6 APPLICATION OF INDEFINITE
INTEGRATION
9.7 DEFINITE INTEGRALS 9.8 APPLYING DEFINITE INTEGRALS: CONSUMER SURPLUS
9.9 APPLYING DEFINITE INTEGRALS:
PRODUCER SURPLUS
279
227 223
225 231 237 240 244
247 248 249
252
253
254
255 260
265
267
9.10 DEFINITE INTEGRALS USING EXPONENTIALS 267
ANSWERS TO QUICK PROBLEMS 269
10 MATRICES 275
10.1 INTRODUCTION 276
10.2 DEFINITIONS, NOTATION AND OPERATIONS 276
10.3 VECTORS 279
10.4 ADDING AND SUBTRACTING MATRICES 280
10.5 DEALING WITH'ZERO MATRICES' 282 10.6 SCALAR MULTIPLICATION OF
MATRICES 282
10.7 MULTIPLYING MATRICES 284
10.8 MATRIX INVERSION 287
10.9 APPLICATION OF 2 X 2 MATRICES AND INVERSIONS: SOLVING ECONOMIC
EQUATIONS 290
10.10 INVERSIONS OF 3 X 3 MATRICES 292 10.11 APPLICATION OF 3 X 3
MATRICES AND INVERSIONS: SOLVING ECONOMIC EQUATIONS 293
10.12 CRAMER'S RULE 300
ANSWERS TO QUICK PROBLEMS 304
INDEX 309 |
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language | English |
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spelling | Taylor, Rebecca Verfasser aut Mathematics for economics and business Rebecca Taylor and Simon Hawkins London [u.a.] McGraw-Hill Higher Education 2008 XIII, 316 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wirtschaft Business mathematics Economics Methodology Economics, Mathematical Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Wirtschaftsmathematik (DE-588)4066472-7 s b DE-604 Hawkins, Simon Verfasser aut http://www.gbv.de/dms/zbw/497635003.pdf lizenzfrei Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016667823&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Taylor, Rebecca Hawkins, Simon Mathematics for economics and business Wirtschaft Business mathematics Economics Methodology Economics, Mathematical Wirtschaftsmathematik (DE-588)4066472-7 gnd |
subject_GND | (DE-588)4066472-7 (DE-588)4123623-3 |
title | Mathematics for economics and business |
title_auth | Mathematics for economics and business |
title_exact_search | Mathematics for economics and business |
title_exact_search_txtP | Mathematics for economics and business |
title_full | Mathematics for economics and business Rebecca Taylor and Simon Hawkins |
title_fullStr | Mathematics for economics and business Rebecca Taylor and Simon Hawkins |
title_full_unstemmed | Mathematics for economics and business Rebecca Taylor and Simon Hawkins |
title_short | Mathematics for economics and business |
title_sort | mathematics for economics and business |
topic | Wirtschaft Business mathematics Economics Methodology Economics, Mathematical Wirtschaftsmathematik (DE-588)4066472-7 gnd |
topic_facet | Wirtschaft Business mathematics Economics Methodology Economics, Mathematical Wirtschaftsmathematik Lehrbuch |
url | http://www.gbv.de/dms/zbw/497635003.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016667823&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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