Mathematical applications for the management, life, and social sciences:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Belmont, CA
Brooks/Cole
2009
|
| Edition: | 9. ed., internat. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes indexes. |
| Physical Description: | Getr. Zählung Ill., graph. Darst. |
| ISBN: | 0495831727 9780495831723 |
Staff View
MARC
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| 245 | 1 | 0 | |a Mathematical applications for the management, life, and social sciences |c Ronald J. Harshbarger ; James J. Reynolds |
| 246 | 1 | 3 | |a Mathematical applications |
| 250 | |a 9. ed., internat. ed. | ||
| 264 | 1 | |a Belmont, CA |b Brooks/Cole |c 2009 | |
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Record in the Search Index
| _version_ | 1804139102291886080 |
|---|---|
| adam_text | Contents
Preface
XII
o
Algebraic Concepts
1
O.I Sets
2
0.2
The Real Numbers
9
0.3
Integral Exponents
15
0.4
Radicals and Rational Exponents
20
0.5
Operations with Algebraic Expressions
27
0.6
Factoring
37
0.7
Algebraic Fractions
42
Key Terms and Formulas
49
Review Exercises
51
Chapter Test
54
Extended Applications
&
Croup Projects
56
Campaign Management
·
Pricing for Maximum Profit
1
Linear Equations and Functions
58
Warm-up
59
1.1
Solution of Linear Equations and Inequalities in One Variable
60
1.2
Functions
71
1.3
Linear Functions
85
1.4
Craphs and Craphing Utilities
96
Graphical Solutions of Equations
1.5
Solutions of Systems of Linear Equations
107
Three Equations in Three Variables
1.6
Applications of Functions in Business and Economics
119
Total Cost, Total Revenue, and Profit
·
Break-Even Analysis
·
Supply, Demand, and
Market Equilibrium
Key Terms and Formulas
130
Review Exercises
132
Chapter Test
135
Extended Applications
&
Croup Projects
137
Hospital Administration
·
Fundraising
2
Quadratic and Other Special Functions
139
Warm-up
140
2.1
Quadratic Equations
141
Factoring Methods
·
The Quadratic Formula
2.2
Quadratic Functions: Parabolas
151
2.3
Business Applications of Quadratic Functions
161
Supply, Demand, and Market Equilibrium
·
Break-Even Points and Maximization
2.4
Special Functions and Their Graphs
169
Polynomial and Rational Functions
·
Piecewise Defined Functions
2.5
Modeling; Fitting Curves to Data with Graphing Utilities (optional)
183
Key Terms and Formulas
194
Review Exercises
195
Chapter Test
198
Extended Applications
&
Croup Projects
201
An Inconvenient Truth
·
Body-Mass Index
·
Operating Leverage and Business Risk
Matrices
204
Warm-up
205
3.1
Matrices
206
3.2
Multiplication of Matrices
220
3.3
Gauss-Jordan Elimination: Solving Systems of Equations
230
Systems with Unique Solutions
·
Systems with Nonunique Solutions
3.4
Inverse of a Square Matrix; Matrix Equations
246
Matrix Equations
·
Determinants
3.5
Applications of Matrices:
Leontief
Input-Output Models
260
Key Terms and Formulas
273
Review Exercises
273
Chapter Test
276
Extended Applications
&
Group Projects
279
Taxation
·
Company Profits After Bonuses and Taxes
4
Inequalities and Linear Programming
281
Warm-up
282
4.1
Linear Inequalities in Two Variables
283
4.2
Linear Programming: Graphical Methods
292
4.3
The Simplex Method: Maximization
306
Nonunique Solutions: Multiple Solutions and No Solution
4.4
The Simplex Method: Duality and Minimization
326
4.5
The Simplex Method with Mixed Constraints
336
Shadow Prices
Contents
VII
Key
Terms
345
Review
Exercises
346
Chapter Test
350
Extended Applications
&
Croup Projects
352
Transportation
·
Slack Variables and Shadow Prices
5
Exponential and Logarithmic Functions
355
Warm-up
356
5.1
Exponential Functions
357
Modeling with Exponential Functions
5.2
Logarithmic Functions and Their Properties
369
Logarithmic Functions and Graphs
·
Modeling with Logarithmic Functions
·
Properties of Logarithms
·
Change of Base
5.3
Solution of Exponential Equations: Applications of Exponential and Logarithmic
Functions
382
Solving Exponential Equations Using Logarithmic Properties
·
Growth and Decay
·
Economic and Management Applications
·
Gompertz Curves and Logistic Functions
Key Terms and Formulas
395
Review Exercises
396
Chapter Test
398
Extended Applications
&
Croup Projects
400
Starbucks Stores
·
Agricultural Business Management
Mathematics of Finance
402
Warm-up
403
6.1
Simple Interest; Sequences
404
Simple Interest
·
Sequences
·
Arithmetic Sequences
6.2
Compound Interest; Geometric Sequences
412
Compound Interest
·
Geometric Sequences
6.3
Future Value of Annuities
427
Ordinary Annuities
·
Annuities Due
6.4
Present Values of Annuities
437
Ordinary Annuities
·
Annuities Due
·
Deferred Annuities
6.5
Loans and Amortization
449
Unpaid Balance of a Loan
Key Terms and Formulas
457
Review Exercises
458
Chapter Test
461
Extended Applications
&
Croup Projects
463
Mail Solicitation Home Equity Loan: Is This a Good Deal?
·
Profit Reinvestment
Purchasing a Home
VIII
· Contents
Introduction to Probability
465
Warm-up
466
7.1
Probability; Odds
467
7.2
Unions and Intersections of Events: One-Trial Experiments
478
7.3
Conditional Probability: The Product Rule
486
7.4
Probability Trees and
Bayes
Formula
497
Probability Trees
·
Bayes
Formula
7.5
Counting: Permutations and Combinations
505
7.6
Permutations, Combinations, and Probability
512
7.7
Markov Chains
517
Key Terms and Formulas
526
Review Exercises
527
Chapter Test
530
Extended Applications
&
Croup Projects
532
Phone Numbers
·
Competition in the Telecommunications Industry
Further Topics in Probability; Data Description
534
Warm-up
535
8.1
Binomial Probability Experiments
536
8.2
Data Description
540
8.3
Discrete Probability Distributions; The Binomial Distribution
553
Discrete Probability Distributions
·
Measures of Dispersion
·
The Binomial
Distribution
8.4
Normal Probability Distribution
564
8.5
The Normal Curve Approximation to the Binomial Distribution
572
Key Terms and Formulas
577
Review Exercises
578
Chapter Test
580
Extended Applications
&
Croup Projects
582
Lotteries
·
Statistics in Medical Research; Hypothesis Testing
Derivatives
584
Warm-up
585
9.1
Limits
586
9.2
Continuous Functions; Limits at Infinity
602
Summary
9.3
Average and Instantaneous Rates of Change: The Derivative
615
9.4
Derivative Formulas
631
9.5
The Product Rule and the Quotient Rule
644
9.6
The Chain Rule and the Power Rule
653
9.7
Using Derivative Formulas
661
Contents
IX
9.8
Higher-Order
Derivatives 666
9.9 Applications
of
Derivatives in Business
and Economics
673
Key
Terms and Formulas
683
Review
Exercises
684
Chapter Test
688
Extended
Applications &
Croup Projects
690
Marginal Return to Sales
·
Tangent Lines and Optimization in Business
and Economics
10
Applications of Derivatives
693
Warm-up
694
10.1
Relative Maxima and Minima: Curve Sketching
695
10.2
Concavity: Points of Inflection
711
Second-Derivative Test
10.3
Optimization in Business and Economics
724
Maximizing Revenue
·
Minimizing Average Cost
10.4
Applications of Maxima and Minima
737
10.5
Rational Functions: More Curve Sketching
745
Asymptotes
·
More Curve Sketching
Key Terms and Formulas
757
Review Exercises
758
Chapter Test
762
Extended Applications
&
Croup Projects
764
Production Management
·
Room Pricing in the Off-Season
Maximizing Profit
11
Derivatives Continued
766
Warm-up
767
11.1
Derivatives of Logarithmic Functions
768
11.2
Derivatives of Exponential Functions
777
11.3
Implicit Differentiation
785
11.4
Related Rates
795
11.5
Applications in Business and Economics
802
Elasticity of Demand
·
Taxation in a Competitive Market
Key Terms and Formulas
810
Review Exercises
811
Chapter Test
813
Extended Applications
&
Croup Projects
814
Inflation
·
Knowledge Workers
Contents
12 Indefinite Integrals 816
Warm-up 817
12.1 The Indefinite Integral 818
12.2 The Power
Rule
826
12.3 Integrals
Involving Exponential and Logarithmic Functions
836
12.4
Applications of the Indefinite Integral in Business and Economics
845
Total Cost and Profit
·
National Consumption and Savings
12.5
Differential Equations
854
Separable Differential Equations
·
Applications of Differential Equations
Key Terms and Formulas
864
Review Exercises
865
Chapter Test
867
Extended Applications
&
Group Projects
868
Employee Production Rate
·
Supply and Demand
13
Definite Integrals: Techniques of Integration
870
Warm-up
871
13.1
Area Under a Curve
872
13.2
The Definite Integral: The Fundamental Theorem of Calculus
883
13.3
Area Between Two Curves
894
13.4
Applications of Definite Integrals in Business and Economics
904
Continuous Income Streams
·
Consumers Surplus
·
Producers Surplus
13.5
Using Tables of Integrals
915
13.6
Integration by Parts
921
13.7
Improper Integrals and Their Applications
927
13.8
Numerical Integration Methods: Trapezoidal Rule and Simpson s Rule
936
Key Terms and Formulas
945
Review Exercises
947
Chapter Test
949
Extended Applications
&
Croup Projects
951
Retirement Planning
·
Purchasing Electrical Power
Contents ·
ΧΙ
14
Functions of Two or More Variables
953
Warm-up
954
14.1
Functions of Two or More Variables
955
14.2
Partial Differentiation
962
First-Order Partial Derivatives
·
Higher-Order Partial Derivatives
14.3
Applications of Functions of Two Variables in Business and Economics
972
Joint Cost and Marginal Cost
·
Production Functions
·
Demand Functions
14.4
Maxima and Minima
979
Linear Regression
14.5
Maxima and Minima of Functions Subject to Constraints:
Lagrange
Multipliers
990
Key Terms and Formulas
998
Review Exercises
999
Chapter Test
1001
Extended Applications
&
Group Projects
1002
Advertising
·
Competitive Pricing
Appendix API
Table I: Future Value of an Ordinary Annuity of
$1
(ѕц) АР-1
Table II: Present Value of an Ordinary Annuity of
$1
(пщ) АР-3
Table HI: Areas Under the Standard Normal Curve AP-5
Answers A-1
Index
1-1
|
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| spelling | Harshbarger, Ronald J. Verfasser aut Mathematical applications for the management, life, and social sciences Ronald J. Harshbarger ; James J. Reynolds Mathematical applications 9. ed., internat. ed. Belmont, CA Brooks/Cole 2009 Getr. Zählung Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes indexes. Mathematik Mathematics Textbooks Business mathematics Textbooks Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Wirtschaftsmathematik (DE-588)4066472-7 s DE-604 Reynolds, James J. Sonstige oth Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017544908&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| subject_GND | (DE-588)4066472-7 (DE-588)4123623-3 |
| title | Mathematical applications for the management, life, and social sciences |
| title_alt | Mathematical applications |
| title_auth | Mathematical applications for the management, life, and social sciences |
| title_exact_search | Mathematical applications for the management, life, and social sciences |
| title_full | Mathematical applications for the management, life, and social sciences Ronald J. Harshbarger ; James J. Reynolds |
| title_fullStr | Mathematical applications for the management, life, and social sciences Ronald J. Harshbarger ; James J. Reynolds |
| title_full_unstemmed | Mathematical applications for the management, life, and social sciences Ronald J. Harshbarger ; James J. Reynolds |
| title_short | Mathematical applications for the management, life, and social sciences |
| title_sort | mathematical applications for the management life and social sciences |
| topic | Mathematik Mathematics Textbooks Business mathematics Textbooks Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| topic_facet | Mathematik Mathematics Textbooks Business mathematics Textbooks Wirtschaftsmathematik Lehrbuch |
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