Mathematics for business and economics with computing:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Petrocelli Books
1979
|
| Ausgabe: | 1. printing |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 388 S. |
| ISBN: | 089433039X |
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| 245 | 1 | 0 | |a Mathematics for business and economics with computing |c Frank Scalzo |
| 250 | |a 1. printing | ||
| 264 | 1 | |a New York [u.a.] |b Petrocelli Books |c 1979 | |
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Datensatz im Suchindex
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| adam_text | Contents
Preface
Acknowledgments
Chapter 1
The Use of Computers and the BASIC Programming Language 1
1.1 Introduction l
1.2 Using a Computer to Solve Problems l
1.3 Flowcharting 2
1.4 Sample Flowcharts 5
Problem Set 1.1 7
1.5 Coding in BASIC 8
Problem Set 1.2 12
Problem Set 1.3 14
Problem Set 1.4 22
1.6 Operating a Computer Terminal 25
Problem Set 1.5 33
1.7 Subscripted Variables 35
1.8 Prepackaged Computer Programs 38
Problem Set 1.6 41
Chapter 2
Selected Algebraic Topics 43
2.1 The Real Number System 43
Problem Set 2.1 47
2.2 Functions, Graphs, and Equations 48
Problem Set 2.2 58
2.3 Computer Applications 60
Problem Set 2.3 62
Chapter 3
Systems of Linear Equations 65
3.1 Introduction 65
3.2 Systems of Linear Equations: Two Equations/Two Variables 65
3.3 A Computer Application 73
Problem Set 3.1 74
3.4 Systems of Linear Equations: Three Equations/Three Variables 75
3.5 A Computer Application 80
Problem Set 3.2 81
3.6 Solving m Linear Equations in m Unknowns by Matrix Methods 83
Problem Set 3.3 85
3.7 BASIC Matrix Commands 91
Problem Set 3.4 94
3.8 Solving Systems of Linear Equations: m Equations//? Unknowns 95
Problem Set 3.5 102
3.9 A Numerical Method for Solving Any m by n System of
Linear Equations 103
3.10 A Prepackaged Program for Solving Any m by n System of
Linear Equations 107
Problem Set 3.6 110
Chapter 4
Introduction to Linear Programming ill
4.1 Systems of Linear Inequalities in
Problem Set 4.1 116
4.2 Introduction to Linear Programming: Finding Maximum Solutions
(Two Variables) Graphical Solutions 116
Problem Set 4.2 120
4.3 Maximum Solutions to Linear Programming Problems (Three
Variables) Inspection of Corners Solutions 121
Problem Set 4.3 126
4.4 Simplex Procedure for Finding Maximum Solutions to Linear
Programming Problems 126
4.5 A Prepackaged Program for Solving Linear Programming Problems
(Maximum Solutions) 129
Problem Set 4.4 134
4.6 Minimizing an Objective Function Using the Prepackaged
Program SIMPLEX1 135
Problem Set 4.5 137
Chapter 5
Exponential and Logarithmic Functions 139
5.1 Introduction 139
5.2 Basic Laws of Exponents 139
5.3 Zero, Negative, and Fractional Exponents 141
Problem Set 5.1 143
5.4 Compound Interest 144
Problem Set 5.2 147
5.5 Growth and Decay Curves 149
Problem Set 5.3 153
5.6 Scientific Notation 153
5.7 Introduction to Logarithms (Logarithmic Functions) 154
5.8 Common Logarithms 156
5.9 Calculations with Common Logarithms 166
Problem Set 5.4 170
5.10 Graphing Logarithmic Functions 172
Problem Set 5.5 172
Chapter 6
Differential Calculus 177
6.1 Introduction 177
6.2 Rates of Change 177
6.3 The Derivative of a Function 182
Problem Set 6.1 187
6.4 Derivative Formulas 187
Problem Set 6.2 194
6.5 Special Differentiation 195
Problem Set 6.3 199
6.6 Applications of Differential Calculus 200
Problem Set 6.4 206
6.7 Time Rates and Percentage Changes 207
Problem Set 6.5 208
Chapter 7
Integral Calculus 209
7.1 Introduction 209
7.2 The Definite Integral 209
Problem Set 7.1 214
7.3 The Fundamental Theorem 217
7.4 Antidifferentiation (Relationship between Integral and
Differential Calculus) 218
Problem Set 7.2 222
7.5 Integration by Substitution 223
7.6 Integration by Parts 227
Problem Set 7.3 230
7.7 Applications of Integral Calculus 230
Problem Set 7.4 234
Chapter 8
Elementary Probability and Descriptive Statistics 235
8.1 Introduction to Sets 235
Problem Set 8.1 242
8.2 Sophisticated Counting 243
Problem Set 8.2 248
8.3 Order versus No Order 249
8.4 Factorial Notation 249
8.5 Permutations 250
Problem Set 8.3 253
8.6 Combinations 254
8.7 The Binomial Theorem 255
Problem Set 8.4 257
8.8 A Prepackaged Counting Program 258
Problem Set 8.5 260
8.9 Sample Space, Sample Point, and Event 260
8.10 Acceptable Assignment of Probabilities 262
8.11 Probability of an Event 263
Problem Set 8.6 265
8.12 Three Probability Theorems 266
Problem Set 8.7 269
8.13 Conditional Probability 269
8.14 Bayes Theorem 270
8.15 Proof of Bayes Theorem for Three Events E1,E2,E3 272
Problem Set 8.8 272
8.16 The Binomial Experiment 274
Problem Set 8.9 277
8.17 A Prepackaged Program for the Binomial Experiment 278
Problem Set 8.10 281
8.18 Introduction to Descriptive Statistics 281
8.19 Three Measures of Central Tendency Ungrouped Data 282
8.20 Measures of Deviation Ungrouped Data 286
Problem Set 8.11 291
8.21 A Prepackaged Program for Ungrouped Data 293
Chapter 9
Probability Functions 297
9.1 Discrete Random Variables 297
Problem Set 9.1 301
9.2 The Mean of a Discrete Random Variable 302
9.3 The Mean of a Binomial Random Variable 304
9.4 The Variance and Standard Deviation of a Discrete Random Variable 306
9.5 The Variance and Standard Deviation of a Binomial Random Variable 308
Problem Set 9.2 311
9.6 Continuous Random Variables 311
Problem Set 9.3 313
9.7 Normal Distributions 311
9.8 The Standard Normal Distribution 315
9.9 Using a Table for Computing Areas (Probabilities) under the Standard
Normal (Z) Curve 317
Problem Set 9.4 324
9.10 Using the Standard Normal Curve to Approximate
Binomial Probabilities 325
Problem Set 9.5 331
9.11 Poisson Probability Distribution 332
Appendices 335
A Mathematical Tables 337
B A List of Common Derivative Formulas 345
C A List of Common Integral Formulas 346
D A List of Common BASIC Programming Statements 347
E A List of Common BASIC Commands 348
Answers to Selected Problems 349
Index 383
|
| adam_txt |
Contents
Preface
Acknowledgments
Chapter 1
The Use of Computers and the BASIC Programming Language 1
1.1 Introduction l
1.2 Using a Computer to Solve Problems l
1.3 Flowcharting 2
1.4 Sample Flowcharts 5
Problem Set 1.1 7
1.5 Coding in BASIC 8
Problem Set 1.2 12
Problem Set 1.3 14
Problem Set 1.4 22
1.6 Operating a Computer Terminal 25
Problem Set 1.5 33
1.7 Subscripted Variables 35
1.8 Prepackaged Computer Programs 38
Problem Set 1.6 41
Chapter 2
Selected Algebraic Topics 43
2.1 The Real Number System 43
Problem Set 2.1 47
2.2 Functions, Graphs, and Equations 48
Problem Set 2.2 58
2.3 Computer Applications 60
Problem Set 2.3 62
Chapter 3
Systems of Linear Equations 65
3.1 Introduction 65
3.2 Systems of Linear Equations: Two Equations/Two Variables 65
3.3 A Computer Application 73
Problem Set 3.1 74
3.4 Systems of Linear Equations: Three Equations/Three Variables 75
3.5 A Computer Application 80
Problem Set 3.2 81
3.6 Solving m Linear Equations in m Unknowns by Matrix Methods 83
Problem Set 3.3 85
3.7 BASIC Matrix Commands 91
Problem Set 3.4 94
3.8 Solving Systems of Linear Equations: m Equations//? Unknowns 95
Problem Set 3.5 102
3.9 A Numerical Method for Solving Any m by n System of
Linear Equations 103
3.10 A Prepackaged Program for Solving Any m by n System of
Linear Equations 107
Problem Set 3.6 110
Chapter 4
Introduction to Linear Programming ill
4.1 Systems of Linear Inequalities in
Problem Set 4.1 116
4.2 Introduction to Linear Programming: Finding Maximum Solutions
(Two Variables) Graphical Solutions 116
Problem Set 4.2 120
4.3 Maximum Solutions to Linear Programming Problems (Three
Variables) Inspection of Corners Solutions 121
Problem Set 4.3 126
4.4 Simplex Procedure for Finding Maximum Solutions to Linear
Programming Problems 126
4.5 A Prepackaged Program for Solving Linear Programming Problems
(Maximum Solutions) 129
Problem Set 4.4 134
4.6 Minimizing an Objective Function Using the Prepackaged
Program SIMPLEX1 135
Problem Set 4.5 137
Chapter 5
Exponential and Logarithmic Functions 139
5.1 Introduction 139
5.2 Basic Laws of Exponents 139
5.3 Zero, Negative, and Fractional Exponents 141
Problem Set 5.1 143
5.4 Compound Interest 144
Problem Set 5.2 147
5.5 Growth and Decay Curves 149
Problem Set 5.3 153
5.6 Scientific Notation 153
5.7 Introduction to Logarithms (Logarithmic Functions) 154
5.8 Common Logarithms 156
5.9 Calculations with Common Logarithms 166
Problem Set 5.4 170
5.10 Graphing Logarithmic Functions 172
Problem Set 5.5 172
Chapter 6
Differential Calculus 177
6.1 Introduction 177
6.2 Rates of Change 177
6.3 The Derivative of a Function 182
Problem Set 6.1 187
6.4 Derivative Formulas 187
Problem Set 6.2 194
6.5 Special Differentiation 195
Problem Set 6.3 199
6.6 Applications of Differential Calculus 200
Problem Set 6.4 206
6.7 Time Rates and Percentage Changes 207
Problem Set 6.5 208
Chapter 7
Integral Calculus 209
7.1 Introduction 209
7.2 The Definite Integral 209
Problem Set 7.1 214
7.3 The Fundamental Theorem 217
7.4 Antidifferentiation (Relationship between Integral and
Differential Calculus) 218
Problem Set 7.2 222
7.5 Integration by Substitution 223
7.6 Integration by Parts 227
Problem Set 7.3 230
7.7 Applications of Integral Calculus 230
Problem Set 7.4 234
Chapter 8
Elementary Probability and Descriptive Statistics 235
8.1 Introduction to Sets 235
Problem Set 8.1 242
8.2 Sophisticated Counting 243
Problem Set 8.2 248
8.3 Order versus No Order 249
8.4 Factorial Notation 249
8.5 Permutations 250
Problem Set 8.3 253
8.6 Combinations 254
8.7 The Binomial Theorem 255
Problem Set 8.4 257
8.8 A Prepackaged Counting Program 258
Problem Set 8.5 260
8.9 Sample Space, Sample Point, and Event 260
8.10 Acceptable Assignment of Probabilities 262
8.11 Probability of an Event 263
Problem Set 8.6 265
8.12 Three Probability Theorems 266
Problem Set 8.7 269
8.13 Conditional Probability 269
8.14 Bayes'Theorem 270
8.15 Proof of Bayes' Theorem for Three Events E1,E2,E3 272
Problem Set 8.8 272
8.16 The Binomial Experiment 274
Problem Set 8.9 277
8.17 A Prepackaged Program for the Binomial Experiment 278
Problem Set 8.10 281
8.18 Introduction to Descriptive Statistics 281
8.19 Three Measures of Central Tendency Ungrouped Data 282
8.20 Measures of Deviation Ungrouped Data 286
Problem Set 8.11 291
8.21 A Prepackaged Program for Ungrouped Data 293
Chapter 9
Probability Functions 297
9.1 Discrete Random Variables 297
Problem Set 9.1 301
9.2 The Mean of a Discrete Random Variable 302
9.3 The Mean of a Binomial Random Variable 304
9.4 The Variance and Standard Deviation of a Discrete Random Variable 306
9.5 The Variance and Standard Deviation of a Binomial Random Variable 308
Problem Set 9.2 311
9.6 Continuous Random Variables 311
Problem Set 9.3 313
9.7 Normal Distributions 311
9.8 The Standard Normal Distribution 315
9.9 Using a Table for Computing Areas (Probabilities) under the Standard
Normal (Z) Curve 317
Problem Set 9.4 324
9.10 Using the Standard Normal Curve to Approximate
Binomial Probabilities 325
Problem Set 9.5 331
9.11 Poisson Probability Distribution 332
Appendices 335
A Mathematical Tables 337
B A List of Common Derivative Formulas 345
C A List of Common Integral Formulas 346
D A List of Common BASIC Programming Statements 347
E A List of Common BASIC Commands 348
Answers to Selected Problems 349
Index 383 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:10:26Z |
| indexdate | 2024-07-09T20:48:51Z |
| institution | BVB |
| isbn | 089433039X |
| language | English |
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| spelling | Scalzo, Frank Verfasser aut Mathematics for business and economics with computing Frank Scalzo 1. printing New York [u.a.] Petrocelli Books 1979 388 S. txt rdacontent n rdamedia nc rdacarrier Mathematik Business mathematics Mathematics Mathematik (DE-588)4037944-9 gnd rswk-swf Wirtschaftswissenschaften (DE-588)4066528-8 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 Wirtschaftsmathematik (DE-588)4066472-7 s Wirtschaftswissenschaften (DE-588)4066528-8 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015203752&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Scalzo, Frank Mathematics for business and economics with computing Mathematik Business mathematics Mathematics Mathematik (DE-588)4037944-9 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4066528-8 (DE-588)4066472-7 |
| title | Mathematics for business and economics with computing |
| title_auth | Mathematics for business and economics with computing |
| title_exact_search | Mathematics for business and economics with computing |
| title_exact_search_txtP | Mathematics for business and economics with computing |
| title_full | Mathematics for business and economics with computing Frank Scalzo |
| title_fullStr | Mathematics for business and economics with computing Frank Scalzo |
| title_full_unstemmed | Mathematics for business and economics with computing Frank Scalzo |
| title_short | Mathematics for business and economics with computing |
| title_sort | mathematics for business and economics with computing |
| topic | Mathematik Business mathematics Mathematics Mathematik (DE-588)4037944-9 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| topic_facet | Mathematik Business mathematics Mathematics Wirtschaftswissenschaften Wirtschaftsmathematik |
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