Finite mathematics and calculus with applications to business:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Wiley
1974
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 446 S. |
| ISBN: | 0471404306 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
1 Functions and Graphs 1
1. Definitions 1
2. Rectangular Coordinates 3
3. Graphs 5
4. Linear Functions 9
5. Quadratic Functions 14
6. Some Additional Functions 16
7. Inverse Functions 18
2 Systems of Linear Equations 29
1. Two Equations in Two Unknowns 1
2. Linear Functions of Several Variables 35
3. Three Equations in Three Unknowns 36
4. Unequal Number of Equations and Unknowns 42
3 Matrices 53
1. Properties of Matrices 54
2. Equations in Matrix Form 59
3. Pivotal Reduction in Matrix Form 61
4. The Inverse of a Square Matrix 67
5. Leontief Input Output Model 74
4 Linear Programming 93
1. Linear Inequalities in Two Variables 93
2. Linear Programming in Two Dimensions 99
3. The Simplex Method in Two Dimensions 103
4. The Algebra of the Simplex Method 108
vii
viii Contents
5 Probability 126
1. The Geometry of Probability 128
2. Probability of an Event 133
3. Addition Rule 135
4. Multiplication Rule 137
5. Bayes Formula 148
6. Counting Techniques —Trees 152
7. Counting Techniques — Combinations 156
6 Additional Topics in Probability 173
1. Random Variables 173
2. Expected Value 176
3. An Application of Expected Value 178
4. Bernoulli Trials 181
5. Markov Chains 185
6. Gambler s Ruin 192
7. A Learning Model 195
7 Game Theory 210
1. Introduction 210
2. Optimization 212
3. Randomized Strategies 213
4. Nondetermined Games 215
5. Calculation of Optimal Strategies 217
6. An Illustration 227
8 The Derivative 236
1. The Slope of a Curve 236
2. The Derivative 239
3. Limits 241
4. The Derivative off(x) = x 244
5. The Derivative of Sums, Products, and Quotients 246
6. Notation 252
7. The Chain Rule 253
8. Implicit Differentiation 257
9 Applications of the Derivative 269
1. Curve Sketching 269
2. Finding Maxima and Minima 277
3. Rate Problems 286
Contents ix
10 Exponential and Logarithmic Functions 307
1. Definition of e 307
2. The Exponential Function and the Logarithmic Function 308
3. The Derivative of the Logarithmic Function 311
4. The Derivative of the Exponential Function 315
5. Applications 317
11 Integration 335
1. The Definite Integral 335
2. Properties of Integrals 342
3. Anti differentiation 345
4. Applications 352
5. Integration by Substitution 358
6. Integration by Parts 362
12 Functions of Several Variables 374
1. Partial Derivatives 375
2. Maxima and Minima 379
3. Second Derivative Test 383
4. Applications 385
5. Lagrange Multipliers 388
Appendix 398
Answers to Odd Numbered Exercises 400
Index 443
|
| any_adam_object | 1 |
| author | Hoel, Paul G. 1905-2000 |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV003193585 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:55:58Z |
| institution | BVB |
| isbn | 0471404306 |
| language | English |
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| physical | IX, 446 S. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Wiley |
| record_format | marc |
| spelling | Hoel, Paul G. 1905-2000 Verfasser (DE-588)1071498649 aut Finite mathematics and calculus with applications to business New York Wiley 1974 IX, 446 S. txt rdacontent n rdamedia nc rdacarrier Mathématiques Mathematik Mathematics HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002005552&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hoel, Paul G. 1905-2000 Finite mathematics and calculus with applications to business Mathématiques Mathematik Mathematics |
| title | Finite mathematics and calculus with applications to business |
| title_auth | Finite mathematics and calculus with applications to business |
| title_exact_search | Finite mathematics and calculus with applications to business |
| title_full | Finite mathematics and calculus with applications to business |
| title_fullStr | Finite mathematics and calculus with applications to business |
| title_full_unstemmed | Finite mathematics and calculus with applications to business |
| title_short | Finite mathematics and calculus with applications to business |
| title_sort | finite mathematics and calculus with applications to business |
| topic | Mathématiques Mathematik Mathematics |
| topic_facet | Mathématiques Mathematik Mathematics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002005552&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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