Analytic geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Reading, Mass.
Addison-Wesley
1973
|
| Edition: | 4. ed. |
| Series: | Addison-Wesley series in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 294 S. |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Chapter 1 Fundamental Concepts
1 Directed lines and segments 1
2 The real number axis 3
3 Rectangular coordinates 4
4 Distance between two points 6
5 Inclination and slope of a line 11
6 Angle between two lines 15
7 Division of a line segment 19
8 Analytic proofs of geometric theorems 22
9 Relations and functions 25
10 Graphs of relations and functions 27
11 Equation of a graph 30
Chapter 2 The Straight Line and the Circle
1 Lines and first degree equations 35
2 Other forms of first degree equations 39
3 Directed distance from a line to a point 43
4 Families of lines 48
5 Circles 54
6 Circles determined by geometric conditions 57
7 Families of circles 61
8 Translation of axes 64
Chapter 3 Conies
1 The parabola 70
2 Parabola with vertex at (h, k) 77
vii
viii Contents
3 Symmetry 80
4 The ellipse 82
5 Extent of ellipse 85
6 Focus directrix property of an ellipse 86
7 Ellipse with center at (h, k) 88
8 The hyperbola 94
9 The asymptotes of a hyperbola 96
10 Applications of conies 100
Chapter 4 Simplification of Equations
1 Simplification by translation 104
2 Rotation of axes 108
3 Simplifications by rotations and translations 112
4 Identification of a conic 117
5 Addition of ordinates 121
Chapter 5 Polar Coordinates
1 The polar coordinate system 124
2 Relations between rectangular and polar coordinates . . . 128
3 Graphs of polar coordinate equations 131
4 Aids in graphing polar coordinate equations 134
5 Special types of equations 140
6 Polar equations of lines and circles 145
7 Polar equations of conies 149
8 Intersections of polar coordinate graphs 155
Chapter 6 Parametric Equations
1 Parametric representation of curves 159
2 Parametric equations of the circle, ellipse, and hyperbola . . 160
3 Graphs of parametric equations 163
4 Path of a projectile 167
5 The cycloid 169
Chapter 7 Algebraic Curves
1 Vertical and horizontal asymptotes 173
2 Irrational equations 179
3 Slant asymptotes 181
4 Graph of an equation in factored form 182
5 Intersections of graphs 183
Contents ix
Chapter 8 Space Coordinates and Surfaces
1 Space coordinates 186
2 The graph of an equation 189
3 The general linear equation 192
4 Surface of revolution 194
5 Second degree equations 196
6 Quadric surfaces 198
Chapter 9 Vectors, Planes, and Lines
1 Vectors 209
2 Operations on vectors 210
3 Vectors in a rectangular coordinate plane 214
4 Vectors in space 219
5 The scalar product of two vectors 223
6 The equation of a plane 228
7 Equations of a line 233
8 Direction angles, direction cosines, and direction numbers . . 236
9 The vector product 240
10 The distance from a line to a point 244
Chapter 10 Curve Fitting
1 Equation corresponding to empirical data 249
2 Method of least squares 251
3 The power formula 254
4 Exponential and logarithmic formulas 257
Appendix 261
Formulas 269
Answers to Odd Numbered Exercises 275
Index 289
|
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| ctrlnum | (OCoLC)631907 (DE-599)BVBBV002624465 |
| dewey-full | 516/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.3 |
| dewey-search | 516/.3 |
| dewey-sort | 3516 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 4. ed. |
| format | Book |
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| genre_facet | Einführung |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:47:34Z |
| institution | BVB |
| language | English |
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| physical | IX, 294 S. |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Addison-Wesley |
| record_format | marc |
| series2 | Addison-Wesley series in mathematics |
| spelling | Fuller, Gordon Verfasser aut Analytic geometry 4. ed. Reading, Mass. Addison-Wesley 1973 IX, 294 S. txt rdacontent n rdamedia nc rdacarrier Addison-Wesley series in mathematics Geometry, Analytic Analytische Geometrie (DE-588)4001867-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Analytische Geometrie (DE-588)4001867-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fuller, Gordon Analytic geometry Geometry, Analytic Analytische Geometrie (DE-588)4001867-2 gnd |
| subject_GND | (DE-588)4001867-2 (DE-588)4151278-9 |
| title | Analytic geometry |
| title_auth | Analytic geometry |
| title_exact_search | Analytic geometry |
| title_full | Analytic geometry |
| title_fullStr | Analytic geometry |
| title_full_unstemmed | Analytic geometry |
| title_short | Analytic geometry |
| title_sort | analytic geometry |
| topic | Geometry, Analytic Analytische Geometrie (DE-588)4001867-2 gnd |
| topic_facet | Geometry, Analytic Analytische Geometrie Einführung |
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