Vector Geometry
This brief undergraduate-level text by a prominent Cambridge-educated mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement for Gilbert de B. Robinson's text, which is the result of several years of teaching and learning the most effective methods from discussions with students. Topics include lines and planes, determinants and linear equations, matrices, groups and linear transformations, and vectors and vector spac…
Read More ↓Title Statements
- Full title :Vector Geometry
Summary
This brief undergraduate-level text by a prominent Cambridge-educated mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement for Gilbert de B. Robinson's text, which is the result of several years of teaching and learning the most effective methods from discussions with students. Topics include lines and planes, determinants and linear equations, matrices, groups and linear transformations, and vectors and vector spaces. Additional subjects range from conics and quadrics to homogeneous coordinates and projective geom.
Read More ↓Edition Statements
- Publication Date:2013.
Publication Statements
- Publisher(s):Dover Publications
- Place of Publication:Newburyport
- Language:eng
- Publication Date:2013.
Notes
Description based upon print version of record.
The Physical Object
- Description:1 online resource (348 p.).
Edition Identifiers
- ISBN:0486321045, 9780486321042
- oclc:on1162356633
- LC Classification:QA433 .R384 2013
- Dewey Decimal:516.182
Table of Contents
Cover; Title Page; Copyright Page; Dedication; Preface; Reference; Contents; 1 LINES AND PLANES; 1.1 Coordinate Geometry; 1.2 Equations of a Line; 1.3 Vector Addition; 1.4 the Inner Product; 1.5 Linear Dependence; 1.6 Equations of a Plane; 2 DETERMINANTS AND LINEAR EQUATIONS; 2.1 The problem defined; 2.2 Determinants; 2.3 Evaluation of a determinant; 2.4 Intersections of three planes; 2.5 Homogeneous equations; 3 MATRICES; 3.1 Matrix addition and multiplication; 3.2 Transpose of a matrix; 3.3 Inverse of a matrix; 3.4 Reduction of a matrix to canonical form
5.8 Orthogonal projection6 CONICS AND QUADRICS; 6.1 Circles and spheres; 6.2 Conics in Cartesian coordinates; 6.3 Quadrics and the lines on them; 6.4 Cones, cylinders, and surfaces of revolution; 6.5 Pairs of lines and planes; 6.6 A quadric to contain three skew lines; 6.7 The intersection of two quadrics; 7 HOMOGENEOUS COORDINATES AND PROJECTIVE GEOMETRY; 7.1 Euclidean geometry; 7.2 Homogeneous coordinates; 7.3 Axioms of projective geometry; 7.4 Theorems of Desargues and Pappus; 7.5 Affine and Euclidean geometry; 7.6 Desargues' theorem in the Euclidean plane
7.7 Pappus' theorem in the Euclidean plane7.8 Cross ratio; 8 GEOMETR…
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