A geometric introduction to linear algebra:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Chelsea Publ. Co.
1976
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| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 226 S. graph. Darst. |
| ISBN: | 0828402868 |
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MARC
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Record in the Search Index
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| adam_text | Titel: A geometric introduction to linear algebra
Autor: Pedoe, Daniel
Jahr: 1976
Contents Chapter One • Coordinate Geometry of the Plane I 1 Line Segments in the Plane, 1 Exercises 1, 8 2 Position-Ratio of a Point on a Line, 8 Exercises 2, 10 3 Angle between Two Lines, 11 Exercises 3 , 13 4 The Direction-Ratios of a Line, 13 Exercises 4, 16 5 The Intersection of Two Lines, 16 Exercises 5, 19 Chapter Two • Vectors in Two Dimensions 21 6 Directed Line Segments and Vectors, 21 Exercises 6, 25 7 Linear Dependence of Vectors, 25 Exercises 7.1, 27 Exercises 7.2, 29 Exercises 7.3, 32 8 The Inner Product of Two Vectors, 32 Exercises 8.1 , 35 Exercises 8.2, 37 Chapter Three • Coordinate Geometry of Three Dimensions 38 9 The Axes, and Lines through the Origin, 38 Exercises 9, 41 10 Angle between Two Lines, 42 Exercises 10, 44 11 Line Segments in Space, 44 Exercises 11, 50 12 Position-Ratio of a Point on a Line, 51 Exercises 12, 52 IX
CONTENTS 13 The Equation of a Plane, 52 Exercises 13, 56 14 Planes and Lines, 56 Exercises 14, 60 15 The Intersection of Two Planes, 61 Exercises 15, 63 Chapter Four • Vectors in Three Dimensions 64 16 Vectors and Linear Dependence, 64 Exercises 16.1, 66 Exercises 16.2, 70 17 Determinants of Orders 2 and 3, 70 Exercises 17.1, 72 Exercises 17.2, 76 Exercises 17.3, 82 18 Vanishing Determinants, 83 Exercises 18, 85 19 The Inner Product of Two Vectors, 86 Exercises 19, 89 Chapter Five • Linear Equations with a Unique Solution 91 20 Regular Systems of Linear Equations, 91 Exercise 20, 97 21 Regular Systems, the General Case, 98 Exercises 21, 105 22 Deductions from the Theorems on Regular Systems, 105 Exercises 22, 110 23 The Notion of a Basis, 110 Chapter Six ■Vector Spaces 114 24 Vectors and Vector Spaces, 114 Exercises 24.1, 117 Exercises 24.2, 118 25 Linear Dependence and Generators, 118 Exercises 25, 123 26 The Echelon Form, 123 Exercises 26, 128 27 Intersections and Joins of Subspaces. 131 Exercises 27.1, 133 Exercises 27.2 , 136 Exercises 27.3, 139
CONTENTS xi 28 The Inner Product of Two Vectors, 140 Exercises 28, 147 Chapter Seven * Matrices 148 29 Definitions, 148 Exercises 29.1, 153 Exercises 29.2, 157 Exercises 29.3, 159 30 Regularity and Inverse Matrices, 160 Exercises 30.1, 167 Exercises 30.2, 168 Chapter Eight • The Concept of Rank 169 31 The Rank of a Matrix, 169 Exercises 31.1, 172 Exercises 31.2, 180 Exercises 31.3, 182 32 Properties Involving the Rank of a Matrix, 182 Exercise 32.1, 183 Exercise 32.2, 184 Exercises 32.3, 184 Exercise 32.4, 188 33 Homogeneous Linear Equations, 190 Exercise 33, 192 34 Non-homogeneous Linear Equations, 192 Exercise 34.1, 193 Exercise 34.2, 194 35 Determinants of Order n, 194 Exercises 35, 200 Chapter Nine • Linear Mappings and Matrices 201 36 Linear Mappings, 201 Exercises 36.1, 205 Exercises 36.2, 207 37 Linear Mappings and Matrices, 210 Exercises 37, 212 Answers to Exercises 217 Index 223
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| edition | 2. ed. |
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| institution | BVB |
| isbn | 0828402868 |
| language | English |
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| physical | XI, 226 S. graph. Darst. |
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| spelling | Pedoe, Daniel Verfasser aut A geometric introduction to linear algebra 2. ed. New York Chelsea Publ. Co. 1976 XI, 226 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Analytische meetkunde gtt Lineaire algebra gtt Algebras, Linear Geometry, Analytic Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Lineare Algebra (DE-588)4035811-2 s Geometrie (DE-588)4020236-7 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001376054&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pedoe, Daniel A geometric introduction to linear algebra Analytische meetkunde gtt Lineaire algebra gtt Algebras, Linear Geometry, Analytic Lineare Algebra (DE-588)4035811-2 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4020236-7 (DE-588)4151278-9 |
| title | A geometric introduction to linear algebra |
| title_auth | A geometric introduction to linear algebra |
| title_exact_search | A geometric introduction to linear algebra |
| title_full | A geometric introduction to linear algebra |
| title_fullStr | A geometric introduction to linear algebra |
| title_full_unstemmed | A geometric introduction to linear algebra |
| title_short | A geometric introduction to linear algebra |
| title_sort | a geometric introduction to linear algebra |
| topic | Analytische meetkunde gtt Lineaire algebra gtt Algebras, Linear Geometry, Analytic Lineare Algebra (DE-588)4035811-2 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Analytische meetkunde Lineaire algebra Algebras, Linear Geometry, Analytic Lineare Algebra Geometrie Einführung |
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