Mathematics and quantitative methods for business and economics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cincinnati
South-Western Publ.
1976
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 594 S. |
Staff View
MARC
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| 245 | 1 | 0 | |a Mathematics and quantitative methods for business and economics |
| 264 | 1 | |a Cincinnati |b South-Western Publ. |c 1976 | |
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Record in the Search Index
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| adam_text | Contents
Parti BASIC ALGEBRA
Chapter 1 SETS 1
1.1 The Concept of Sets 1
1.2 Representations of Sets and Elements 2
1.3 Universal Sets and Subsets 3
1.4 Basic Operations with Sets 6
1.5 Other Operations with Sets 10
* 1.6 Laws of Set Operations 13
Chapter 2 FUNDAMENTAL ALGEBRAIC OPERATIONS 18
2.1 Classification of Numbers 18
2.2 Properties of Real Numbers 20
2.3 Signed Numbers and Grouping 22
2.4 Operations of Algebraic Expressions 25
2.5 Factoring 32
2.6 Fractions 36
Chapter 3 LINEAR EQUATIONS 44
3.1 Equations 44
3.2 Systems of Linear Equations 48
3.3 Fractional Equations 53
3.4 Ratio, Proportion, and Percent 54
3.5 Graphs and Equations 58
3.6 Functions 62
Chapter 4 RADICALS AND QUADRATIC EQUATIONS 65
4.1 Radicals 65
4.2 Finding Square Roots 70
4.3 Equations with Radicals 72
4.4 Quadratic Equations 74
vi Contents
Chapter 5 EQUATIONS OF DEGREE HIGHER THAN TWO 81
5.1 Synthetic Division 81
5.2 Remainder Theorem 83
5.3 Factor Theorem 84
5.4 Solving Equations 86
Part 2 MATRIX AND LINEAR PROGRAMMING
Chapter 6 VECTORS AND MATRICES 93
6.1 Common Types of Vectors 93
6.2 Basic Operations of Vectors 95
6.3 The Geometry of Vectors 98
6.4 Vectors and Systems of Linear Equations 101
6.5 Common Types of Matrices 106
6.6 Basic Operations of Matrices 108
Chapter 7 SOLVING EQUATIONS BY MATRIX ALGEBRA 114
7.1 Finding the Value of a Determinant 114
7.2 Properties of Determinants and Their Use 122
7.3 The Inverse of a Square Matrix 127
7.4 Solving Linear Equations by Matrix Algebra 139
Chapter 8 LINEAR PROGRAMMING 148
8.1 Inequalities 148
8.2 Linear Programming The Graphic Method
for Maximization Problems 151
8.3 Linear Programming—The Graphic Method
for Minimization Problems 156
Chapter 9 SIMPLEX METHOD FOR MAXIMIZATION 164
* 9.1 Basic Logic of the Simplex Method 164
9.2 Simplex Tables for Maximization Problems
(Cj Zj Method) 174
9.3 A Degenerate Case 183
* 9.4 Alternative Simplex Table Method 187
Chapter 10 SIMPLEX METHOD FOR MINIMIZATION 191
10.1 Simplex Tables for Minimization Problems 191
10.2 Converting a Minimization Problem to a
Maximization Problem 203
*10.3 Alternative Simplex Table Method 205
10.4 Summary of Simplex Method Procedure 208
Contents VH
Part 3 MATHEMATICS FOR MANAGERIAL DECISIONS
Chapter 11 PROBABILITY AND APPLICATIONS 211
11.1 Counting Procedures 211
11.2 Introduction to Probability 217
11.3 Computing Probability of Two or More Events 219
11.4 Repeated Trials and Binomial Distribution 224
*11.5 The Normal Distribution 234
Chapter 12 BAYES THEOREM AND APPLICATIONS 243
12.1 Introduction to Bayes Theorem 243
12.2 Applications in Business Problems 250
12.3 Computing the Mean and the Standard
Deviation of the Prior and Posterior
Probability Distributions 254
*12.4 Computation Based on the Normal Curve
Table 257
Chapter 13 EXPECTED VALUES AND DECISION RULES 265
13.1 The Payoff Table and Conditional Profits 265
13.2 Finding Expected Profits 266
13.3 Expected Value of Perfect Information 268
13.4 Finding Conditional and Expected Losses 269
*13.5 Decisions Based on Utility Values 274
*13.6 Decision Rules 281
Chapter 14 MATHEMATICS OF FINANCE 284
14.1 Simple Interest 284
14.2 Compound Interest 286
14.3 Ordinary Annuity 299
14.4 Annuity Due 309
*14.5 Deferred Annuity 313
14.6 Summary of Formulas 315
Part 4 CALCULUS AND RELATED TOPICS
Chapter 15 SEQUENCES AND SERIES 319
15.1 Arithmetic Progression (AP) 320
15.2 Geometric Progression (GP) 323
15.3 Sequences 327
15.4 Limits of an Infinite Sequence 331
viii Contents
Chapter 16 LOGARITHMS 339
16.1 Logarithms to the Base 10 (Common
Logarithms) 339
16.2 Logarithmic Computation 346
*16.3 Logarithms to Bases Other Than 10 351
*16.4 Solving Equations by Logarithms 353
*16.5 Logarithmic and Semilogarithmic Graphs 354
Chapter 17 DIFFERENTIAL CALCULUS: INTRODUCTION 361
17.1 The Slope of a Straight Line 361
17.2 The Slope of a Curve 363
17.3 The Derivative 367
17.4 Rules for Finding Derivatives of Common
Algebraic Functions 369
17.5 Summary of the Rules for Differentiation 376
Chapter 18 DIFFERENTIATION FOR SPECIAL FUNCTIONS 378
18.1 The Chain Rule for Composite Functions 378
18.2 Power Functions 380
18.3 Exponential and Logarithmic Functions 382
18.4 Inverse Functions 387
18.5 Implicit Functions 389
18.6 Higher Order Derivatives 391
18.7 Summary of the Rules for Differentiation 392
Chapter 19 APPLICATIONS OF DERIVATIVES 397
19.1 Finding Maximum and Minimum Points 397
19.2 Maxima and Minima Applications to
Statement Problems 409
19.3 Partial Derivatives 416
A. Finding Partial Derivatives 416
*B. Application—The Method of Least
Squares 417
Chapter 20 INTEGRAL CALCULUS 423
20.1 Indefinite Integration 423
20.2 Definite Integration 426
*20.3 Special Methods of Integration 433
20.4 Applications of Integral Calculus 441
Appendix 455
Table 1 Squares, Square Roots, and Reciprocals 456
Table 2 Common Logarithms of Numbers 1,000 to 11,009 465
Contents ix
Table 3 Natural Logarithms of Numbers 1.00 to 10.00 485
Table 4 Values of e3 and eH for Selected Values of j 487
Table 5 Binomial Probability Distribution—Values of
nCx ¦ Px • Qn~x 489
Table 6 Areas Under the Normal Curve Values of A(z) 496
Answers to Odd Numbered Problems 497
Index 589
|
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| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| indexdate | 2024-07-09T16:35:26Z |
| institution | BVB |
| language | English |
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| spelling | Shao, Stephen P. Verfasser aut Mathematics and quantitative methods for business and economics Cincinnati South-Western Publ. 1976 IX, 594 S. txt rdacontent n rdamedia nc rdacarrier Mathématiques Mathématiques financières Mathematik Mathematics Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003649191&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shao, Stephen P. Mathematics and quantitative methods for business and economics Mathématiques Mathématiques financières Mathematik Mathematics Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| subject_GND | (DE-588)4066472-7 |
| title | Mathematics and quantitative methods for business and economics |
| title_auth | Mathematics and quantitative methods for business and economics |
| title_exact_search | Mathematics and quantitative methods for business and economics |
| title_full | Mathematics and quantitative methods for business and economics |
| title_fullStr | Mathematics and quantitative methods for business and economics |
| title_full_unstemmed | Mathematics and quantitative methods for business and economics |
| title_short | Mathematics and quantitative methods for business and economics |
| title_sort | mathematics and quantitative methods for business and economics |
| topic | Mathématiques Mathématiques financières Mathematik Mathematics Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| topic_facet | Mathématiques Mathématiques financières Mathematik Mathematics Wirtschaftsmathematik |
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