Calculus with analytic geometry for the technologies:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Englewood Cliffs, N.J.
Prentice-Hall
1980
|
| Schriftenreihe: | Prentice-Hall series in technical mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 352 S. graph. Darst. |
| ISBN: | 0131118560 |
Internformat
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| 100 | 1 | |a Clar, Lawrence M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Calculus with analytic geometry for the technologies |c Lawrence M. Clar ; James A. Hart* |
| 264 | 1 | |a Englewood Cliffs, N.J. |b Prentice-Hall |c 1980 | |
| 300 | |a XII, 352 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Prentice-Hall series in technical mathematics. | |
| 650 | 4 | |a Calculus | |
| 650 | 4 | |a Geometry, Analytic | |
| 700 | 1 | |a Hart, James A. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804117759854903296 |
|---|---|
| adam_text | Contents
Preface, xi
1 Plane Analytic Geometry, 1
1 1. Basic Definitions and Terminology, 1
1 2. The Distance Formula, 2
1 3. The Straight Line, 7
1 4. The Parabola, 14
1 5. The Circle, 21
1 6. The Ellipse, 26
1 7. The Hyperbola, 32
1 8. The General Second Degree Equation, 41
1 9. Chapter Review, 44
2 Parametric Equations and Polar Coordinates, 47
2 1. Parametric Equations, 47
2 2. Polar Coordinates, 51
2 3. Graphs of Polar Equations, 55
2 4. Chapter Review, 60
vii
viii Contents
3 Progressions, 62
3 1. Arithmetic Progressions, 62
3 2. Geometric Progressions, 66
3 3. Infinite Geometric Progressions, 69
3 4. Chapter Review, 71
4 Limits, 74
4 1. Definition and Notation, 74
4 2. Finding Limits, 78
4 3. Properties of Limits, 86
4 4. Chapter Review, 89
5 Introduction to the Derivative, 92
5 1. Introduction, 92
5 2. The Slope of a Tangent to a Curve, 93
5 3. The Derivative, 97
5 4. Basic Derivative Formulas, 104
5 5. The Chain Rule, 111
5 6. Implicit Derivatives, 115
5 7. Chapter Review, 117
6 Derivatives of the Transcendental Functions, 119
6 1. Derivatives of the Trigonometric Functions, 119
6 2. Derivatives of the Inverse Trigonometric Functions, 128
6 3. Derivatives of Logarithmic Functions, 139
6 4. Derivatives of Exponential Functions, 145
6 5. Chapter Review, 147
7 Applications of Derivatives, 150
7 1. Tangents and Normals to a Curve, 150
7 2. Curvilinear Motion, 156
7 3. Related Rates, 165
7 4. Curve Sketching, 172
7 5. Maximum and Minimum Problems, 185
7 6, Chapter Review, 189
Contents
8 Introduction to Integration, 191
8 1. Differentials, 191
8 2. Introduction to Integration, 195
8 3. The Indefinite Integra], 198
8 4. The Area Under a Curve and the Definite Integral, 204
8 5. Properties of the Definite Integral, 210
8 6. Chapter Review, 212
9 Applications of Integration, 215
9 1. The Indefinite Integral and Curvilinear Motion, 215
9 2. Other Applications of the Indefinite Integral, 219
9 3. Numerical Integration by the Trapezoidal Rule, 222
9 4. Areas, 228
9 5. Volumes, 232
9 6. Chapter Review, 241
10 Techniques of Integration, 244
lO l. The Logarithmic Form, 244
10 2. The Exponential Form, 247
10 3. Trigonometric Forms, 250
10 4. Inverse Trigonometric Forms, 253
10 5. Integration by Parts, 256
10 6. Integration by Trigonometric Substitution, 258
10 7. Chapter Review, 263
Appendix A Geometric Figures and Formulas, 265
Appendix B Operations with Hand Calculators, 271
B l. Exact and Approximate Numbers, 271
B 2. Basic Operations, 275
B 3. Scientific Notation, 277
B 4. Powers and Roots, 279
B 5. Trigonometric Functions, 284
B 6. Logarithms, 287
B 7. Combined Operations, 289
B 8. Formulas, 291
x Contents
TABLES, 296
1. Powers and Roots, 297
2. Trigonometric Functions, 298
3. Common Logarithms of Numbers, 303
4. Natural Logarithms of Numbers, 305
5. Values of ex and e~x, 306
6. Trigonometric Formulas, 307
7. Derivatives, 309
8. Integrals, 310
Answers to Odd Numbered Problems, 311
Index, 348
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| id | DE-604.BV003411931 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:59:31Z |
| institution | BVB |
| isbn | 0131118560 |
| language | English |
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| physical | XII, 352 S. graph. Darst. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Prentice-Hall |
| record_format | marc |
| series2 | Prentice-Hall series in technical mathematics. |
| spelling | Clar, Lawrence M. Verfasser aut Calculus with analytic geometry for the technologies Lawrence M. Clar ; James A. Hart* Englewood Cliffs, N.J. Prentice-Hall 1980 XII, 352 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Prentice-Hall series in technical mathematics. Calculus Geometry, Analytic Hart, James A. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002157989&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Clar, Lawrence M. Hart, James A. Calculus with analytic geometry for the technologies Calculus Geometry, Analytic |
| title | Calculus with analytic geometry for the technologies |
| title_auth | Calculus with analytic geometry for the technologies |
| title_exact_search | Calculus with analytic geometry for the technologies |
| title_full | Calculus with analytic geometry for the technologies Lawrence M. Clar ; James A. Hart* |
| title_fullStr | Calculus with analytic geometry for the technologies Lawrence M. Clar ; James A. Hart* |
| title_full_unstemmed | Calculus with analytic geometry for the technologies Lawrence M. Clar ; James A. Hart* |
| title_short | Calculus with analytic geometry for the technologies |
| title_sort | calculus with analytic geometry for the technologies |
| topic | Calculus Geometry, Analytic |
| topic_facet | Calculus Geometry, Analytic |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002157989&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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