Schaum's outline of theory and problems of calculus for business, economics, and the social sciences:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
McGraw-Hill
1990
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| Series: | Schaum's outline series
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 266 S. graph. Darst. |
| ISBN: | 0070176736 |
Staff View
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| 246 | 1 | 3 | |a Calculus for business, economics, and the social sciences |
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Record in the Search Index
| _version_ | 1804127515242921984 |
|---|---|
| adam_text | Contents
Chapter I REVIEW 1
1.1 Real Numbers 1
1.2 Absolute Value and Signs 1
1.3 Exponents 2
1.4 Polynomials 3
1.5 Factoring 4
1.6 Fractions 5
1.7 Radicals 5
1.8 Logarithms 6
Chapter 2 EQUATIONS AND GRAPHS 23
2.1 Equations 23
2.2 Cartesian Coordinate System 24
2.3 Graphing Linear Equations 25
2.4 The Slope of a Straight Line 26
2.5 Solving Linear Equations Simultaneously 27
2.6 Solving Quadratic Equations 28
2.7 Practical Applications 29
Chapter 3 FUNCTIONS 52
3.1 Concepts and Definitions 52
3.2 Functions and Graphs 52
3.3 The Algebra of Functions 54
3.4 Applications of Linear Functions 54
3.5 Facilitating Nonlinear Graphs 55
3.6 Applications of Nonlinear Functions 56
Chapter 4 THE DERIVATIVE 80
4.1 Limits 80
4.2 Continuity 81
4.3 The Slope of a Curvilinear Function 82
4.4 Rates of Change 83
4.5 The Derivative 84
4.6 Differentiability and Continuity 85
4.7 Applications for Business, Economics, and the Social Sciences 86
Chapter 5 DIFFERENTIATION 103
5.1. Derivative Notation 103
5.2 Rules of Differentiation 103
5.3 Derivation of the Rules of Differentiation 106
5.4 Higher Order Derivatives 107
5.5 Higher Order Derivative Notation 107
5.6 Implicit Differentiation 107
5.7 Applications for Business, Economics, and the Social Sciences 108
CONTENTS
Chapter 6 USES OF THE DERIVATIVE 129
6.1 Increasing and Decreasing Functions 129
6.2 Concavity 129
6.3 Extreme Points 130
6.4 Inflection Points 131
6.5 Curve Sketching 132
6.6 Optimization 134
6.7 Constrained Optimization 134
6.8 Practical Applications 135
Chapter 7 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 156
7.1 Exponential Functions 156
7.2 Logarithmic Functions 156
7.3 Properties of Logarithms and Exponents 158
7.4 Natural Exponential and Logarithmic Functions 158
7.5 Solving Exponential and Logarithmic Functions 158
7.6 Derivatives of Natural Exponential and Logarithmic Functions 159
7.7 Logarithmic Differentiation 160
7.8 Practical Applications of Exponential Functions 161
7.9 Practical Applications of Logarithmic Functions 162
Chapter 8 INTEGRATION 183
8.1 Antidifferentiation 183
8.2 Rules for Indefinite Integrals 183
8.3 Area Under a Curve 185
8.4 The Definite Integral 185
8.5 The Fundamental Theorem of Calculus 185
8.6 Properties of Definite Integrals and Area Between Curves 186
8.7 Estimating Definite Integrals with Riemann Sums 187
8.8 Average Value of a Function and Volume of a Solid of Revolution 189
8.9 Practical Applications 189
Chapter 9 MULTIVARIABLE CALCULUS 206
9.1 Functions of Several Variables 206
9.2 Partial Derivatives 206
9.3 Rules of Partial Differentiation 207
9.4 Second Order Partial Derivatives 209
9.5 Optimization of Multivariable Functions 210
9.6 Constrained Optimization and Lagrange Multipliers 212
9.7 Total Differentials 212
9.8 Practical Applications 213
Chapter 10 MORE OF INTEGRATION AND MULTIVARIABLE CALCULUS 234
10.1 Integration by Substitution 234
10.2 Integration by Parts 235
10.3 Improper Integrals 236
10.4 L Hopital s Rule 237
10.5 Double Integrals 237
10.6 Approximating Definite Integrals 239
10.7 Differential Equations 240
10.8 Separation of Variables 241
10.9 Practical Applications 241
INDEX 263
|
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.02/02 |
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| dewey-tens | 510 - Mathematics |
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| id | DE-604.BV012836250 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:34:34Z |
| institution | BVB |
| isbn | 0070176736 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008734249 |
| oclc_num | 636920625 |
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| owner | DE-573 DE-2070s |
| owner_facet | DE-573 DE-2070s |
| physical | 266 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | Schaum's outline series |
| spelling | Dowling, Edward T. Verfasser aut Schaum's outline of theory and problems of calculus for business, economics, and the social sciences Edward T. Dowling Theory and problems of calculus for business, economics, and the social sciences Calculus for business, economics, and the social sciences New York [u.a.] McGraw-Hill 1990 266 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Schaum's outline series Calcul infinitésimal - Problèmes et exercices Calcul infinitésimal - Résumés, programmes, etc Cálculo gráfico larpcal Cálculo numérico (problemas e exercícios) larpcal Calculus Outlines, syllabi, etc Calculus Problems, exercises, etc Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008734249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dowling, Edward T. Schaum's outline of theory and problems of calculus for business, economics, and the social sciences Calcul infinitésimal - Problèmes et exercices Calcul infinitésimal - Résumés, programmes, etc Cálculo gráfico larpcal Cálculo numérico (problemas e exercícios) larpcal Calculus Outlines, syllabi, etc Calculus Problems, exercises, etc Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4018935-1 |
| title | Schaum's outline of theory and problems of calculus for business, economics, and the social sciences |
| title_alt | Theory and problems of calculus for business, economics, and the social sciences Calculus for business, economics, and the social sciences |
| title_auth | Schaum's outline of theory and problems of calculus for business, economics, and the social sciences |
| title_exact_search | Schaum's outline of theory and problems of calculus for business, economics, and the social sciences |
| title_full | Schaum's outline of theory and problems of calculus for business, economics, and the social sciences Edward T. Dowling |
| title_fullStr | Schaum's outline of theory and problems of calculus for business, economics, and the social sciences Edward T. Dowling |
| title_full_unstemmed | Schaum's outline of theory and problems of calculus for business, economics, and the social sciences Edward T. Dowling |
| title_short | Schaum's outline of theory and problems of calculus for business, economics, and the social sciences |
| title_sort | schaum s outline of theory and problems of calculus for business economics and the social sciences |
| topic | Calcul infinitésimal - Problèmes et exercices Calcul infinitésimal - Résumés, programmes, etc Cálculo gráfico larpcal Cálculo numérico (problemas e exercícios) larpcal Calculus Outlines, syllabi, etc Calculus Problems, exercises, etc Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | Calcul infinitésimal - Problèmes et exercices Calcul infinitésimal - Résumés, programmes, etc Cálculo gráfico Cálculo numérico (problemas e exercícios) Calculus Outlines, syllabi, etc Calculus Problems, exercises, etc Funktionentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008734249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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