Vectors in Two or Three Dimensions

Erscheinungsjahr 1995
ISBN: 978-0-340-61469-3
Verlag: Elsevier Science & Technology

Buch, Englisch, 144 Seiten, Format (B × H): 171 mm x 244 mm, Gewicht: 230 g

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 more advanced theories.

Zielgruppe

First and second year undergraduates in mathematics. Also suitable for physics and engineering students.

Autoren/Hrsg.

Hirst, Ann

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau

Inhaltsverzeichnis

Introduction to vectors * Vector equation of a straight line * Scalar products and equations of planes * Vector products and intersection of planes * Linear combinations and bases * Linear transformations of R3 matrices and change of basis * Vector valued functions of a single variable * Cylindrical and spherical polars * Index.