Vectors in 2 or 3 dimensions
by Hirst, A. E.
Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimens…
Read More ↓Title Statements
- Full title :Vectors in 2 or 3 dimensions / A.E. Hirst.
Summary
Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to mo.
Read More ↓Edition Statements
- Publication Date:1995.
Publication Statements
- Publisher(s):Arnold
- Place of Publication:London
- Language:eng
- Publication Date:1995.
Notes
Includes index.
The Physical Object
- Description:1 online resource (x, 134 pages :) : : illustrations.
Edition Identifiers
- ISBN:9780080572017, 0080572014
- oclc:on1331415284
- LC Classification:QA433
- Dewey Decimal:515/.63
Table of Contents
Front Cover; Vectors in 2 or 3 Dimensions; Copyright Page; Table of Contents; Series Preface; Preface; Chapter 1. Introduction to Vectors; 1.1 Vectors and scalars; 1.2 Basic definitions and notation; 1.3 Addition of vectors; Summary; Further exercises; Chapter 2. Vector Equation of a Straight Line; 2.1 The vector equation of a straight line; 2.2 The cartesian equations of a straight line; 2.3 A point dividing a line segment in a given ratio; 2.4 Points of intersection of lines; 2.5 Some applications; Summary; Further exercises; Chapter 3. Scalar Products and Equations of Planes.
3.1 The scalar product3.2 Projections and components; 3.3 Angles from scalar products; 3.4 Vector equation of a plane; 3.5 The intersection of two planes; 3.6 The intersection of three planes; Summary; Further exercises; Chapter 4. Vector Products; 4.1 Definition and geometrical description; 4.2 Vector equation of a plane given three points on it; 4.3 Distance of a point from a line; 4.4 Distance between two lines; 4.5 The intersection of two planes; 4.6 Triple scalar product; 4.7 Triple vector product; Summary; Further exercises.
6.8 Special cases in IR3Summary; Further exercises; Chapter 7. General Ref…
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