Applied calculus for management, social and life sciences:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Englewood Cliffs, NJ [u.a.]
Prentice Hall
1991
|
| Edition: | 1. print. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 400 S. Ill., graph. Darst. |
| ISBN: | 0130397695 |
Staff View
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Record in the Search Index
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| adam_text | vi CONTENTS
3 85
Applications of the Derivative to Graphing
Biography of Norbert Wiener
3.1 Continuity and Differentiability 86
3.2 Monotonicity and Concavity 93
3.3 Extreme Points and Inflection Points 100
3.4 Limits Involving Infinity and Asymptotes 109
Chapter 3 Review Problem Set 118
4 121
Other Applications of the Derivative
Biography of Paul Anthony Samuelson
4.1 Optimization: Geometric Problems 122
4.2 Optimization: Business Problems 131
4.3 More Applications 138
4.4 Implicit Differentiation and Related Rates 144
4.5 Approximations and the Differential 151
Chapter 4 Review Problem Set 158
5 161
Exponential and Logarithmic Functions
Biography of Sir Ronald Ajlmei Fisher
5.1 Exponential and Logarithmic Functions 162
5.2 The Natural Exponential and Logarithmic Functions 168
5.3 The Chain Rule 174
5.4 General Logarithmic and Exponential Functions 180
Chapter 5 Review Problem Set 184
6 18?
Applications of Exponential and Logarithmic Functions
Biography of Ol ga Arsen evna Oleinik
6.1 Exponential Growth and Decay 190
6.2 Other Growth Models 195
Contents vii
6.3 Mathematics of Finance 201
6.4 More on the Mathematics of Finance 207
Chapter 6 Review Problem Set 213
7 217
The Antiderivative
Biography of Jean Piaget
7.1 Antiderivatives 218
7.2 The Substitution Rule 224
7.3 Some Integration Techniques 230
7.4 Differential Equations 236
Chapter 7 Review Problem Set 242
8 245
The Definite Integral
Biography of Richard Couiant
8.1 Area and the Definite Integral 246
8.2 The Fundamental Theorem of Calculus 252
8.3 Calculation of Definite Integrals 259
8.4 The Definite Integral as a Limit 264
Chapter 8 Review Problem Set 271
9 275
Applications of the Definite Integral
Biography of David Blackwell
9.1 Areas Between Two Curves 276
9.2 Volumes of Solids of Revolution 283
9.3 Social Science Applications 290
9.4 Continuous Money Streams 296
9.5 Continuous Probability 301
Chapter 9 Review Problem Set 308
yjfj CONTENTS
10 311
Multivariate Calculus
Biography of George Dantzig
10.1 Functions of Two or More Variables 312
10.2 Partial Derivatives 318
10.3 Optimization 326
10.4 Constrained Optimization and Lagrange s Method 332
10.5 Application: The Least Squares Line 338
10.6 Double Integrals 344
Chapter 10 Review Problem Set 351
363
Appendix
Basic Algebra Review 354
A1 Numbers 354
A2 Exponents 357
A3 Algebraic Expressions 358
A4 Equations 361
A5 Inequalities 363
Basic Algebra Review Problem Set 364
Table A The Natural Exponential Function 366
Table B The Natural Logarithm Function 368
ANSWERS TO ODD NUMBERED PROBLEMS 370
INDEX 396
?Sections marked with stars are optional and can be omitted without loss of continuity.
|
| adam_txt |
vi CONTENTS
3 85
Applications of the Derivative to Graphing
Biography of Norbert Wiener
3.1 Continuity and Differentiability 86
3.2 Monotonicity and Concavity 93
3.3 Extreme Points and Inflection Points 100
3.4 Limits Involving Infinity and Asymptotes 109
Chapter 3 Review Problem Set 118
4 121
Other Applications of the Derivative
Biography of Paul Anthony Samuelson
4.1 Optimization: Geometric Problems 122
4.2 Optimization: Business Problems 131
4.3 "More Applications 138
4.4 Implicit Differentiation and Related Rates 144
4.5 'Approximations and the Differential 151
Chapter 4 Review Problem Set 158
5 161
Exponential and Logarithmic Functions
Biography of Sir Ronald Ajlmei Fisher
5.1 Exponential and Logarithmic Functions 162
5.2 The Natural Exponential and Logarithmic Functions 168
5.3 The Chain Rule 174
5.4 'General Logarithmic and Exponential Functions 180
Chapter 5 Review Problem Set 184
6 18?
Applications of Exponential and Logarithmic Functions
Biography of Ol'ga Arsen'evna Oleinik
6.1 Exponential Growth and Decay 190
6.2 Other Growth Models 195
Contents vii
6.3 Mathematics of Finance 201
6.4 More on the Mathematics of Finance 207
Chapter 6 Review Problem Set 213
7 217
The Antiderivative
Biography of Jean Piaget
7.1 Antiderivatives 218
7.2 The Substitution Rule 224
7.3 Some Integration Techniques 230
7.4 "Differential Equations 236
Chapter 7 Review Problem Set 242
8 245
The Definite Integral
Biography of Richard Couiant
8.1 Area and the Definite Integral 246
8.2 The Fundamental Theorem of Calculus 252
8.3 Calculation of Definite Integrals 259
8.4 The Definite Integral as a Limit 264
Chapter 8 Review Problem Set 271
9 275
Applications of the Definite Integral
Biography of David Blackwell
9.1 Areas Between Two Curves 276
9.2 Volumes of Solids of Revolution 283
9.3 Social Science Applications 290
9.4 Continuous Money Streams 296
9.5 'Continuous Probability 301
Chapter 9 Review Problem Set 308
yjfj CONTENTS
10 311
Multivariate Calculus
Biography of George Dantzig
10.1 Functions of Two or More Variables 312
10.2 Partial Derivatives 318
10.3 Optimization 326
10.4 'Constrained Optimization and Lagrange's Method 332
10.5 'Application: The Least Squares Line 338
10.6 'Double Integrals 344
Chapter 10 Review Problem Set 351
363
Appendix
Basic Algebra Review 354
A1 Numbers 354
A2 Exponents 357
A3 Algebraic Expressions 358
A4 Equations 361
A5 Inequalities 363
Basic Algebra Review Problem Set 364
Table A The Natural Exponential Function 366
Table B The Natural Logarithm Function 368
ANSWERS TO ODD NUMBERED PROBLEMS 370
INDEX 396
?Sections marked with stars are optional and can be omitted without loss of continuity. |
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| physical | XII, 400 S. Ill., graph. Darst. |
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| spelling | Varberg, Dale Verfasser aut Applied calculus for management, social and life sciences Dale Varberg ; Walter Fleming 1. print. Englewood Cliffs, NJ [u.a.] Prentice Hall 1991 XII, 400 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Sozialwissenschaften Biomathematics Calculus Social sciences Mathematics Analysis (DE-588)4001865-9 gnd rswk-swf Sozialwissenschaften (DE-588)4055916-6 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Analysis (DE-588)4001865-9 s DE-604 Sozialwissenschaften (DE-588)4055916-6 s Fleming, Walter Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015120543&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Varberg, Dale Fleming, Walter Applied calculus for management, social and life sciences Mathematik Sozialwissenschaften Biomathematics Calculus Social sciences Mathematics Analysis (DE-588)4001865-9 gnd Sozialwissenschaften (DE-588)4055916-6 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4055916-6 (DE-588)4143389-0 |
| title | Applied calculus for management, social and life sciences |
| title_auth | Applied calculus for management, social and life sciences |
| title_exact_search | Applied calculus for management, social and life sciences |
| title_exact_search_txtP | Applied calculus for management, social and life sciences |
| title_full | Applied calculus for management, social and life sciences Dale Varberg ; Walter Fleming |
| title_fullStr | Applied calculus for management, social and life sciences Dale Varberg ; Walter Fleming |
| title_full_unstemmed | Applied calculus for management, social and life sciences Dale Varberg ; Walter Fleming |
| title_short | Applied calculus for management, social and life sciences |
| title_sort | applied calculus for management social and life sciences |
| topic | Mathematik Sozialwissenschaften Biomathematics Calculus Social sciences Mathematics Analysis (DE-588)4001865-9 gnd Sozialwissenschaften (DE-588)4055916-6 gnd |
| topic_facet | Mathematik Sozialwissenschaften Biomathematics Calculus Social sciences Mathematics Analysis Aufgabensammlung |
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