Affine Maps, Euclidean Motions and Quadrics

• Main Author: Reventós Tarrida, Agustí (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Mathematics.; Algebra.; Mathematics, general.

Affine geometry and quadrics are fascinating subjects alone, but they are also important applications of linear algebra. They give a first glimpse into the world of algebraic geometry yet they are equally relevant to a wide range of disciplines such as engineering. This text discusses and classifies...

Table of Contents:

• Affine Spaces
• Affinities
• Classification of Affinities
• Classification of Affinities in Arbitrary Dimension
• Euclidean Affine Spaces
• Euclidean motions
• Euclidean Motions of the Line, the Plane and of Space
• Affine Classification of Real Quadrics
• Orthogonal Classification of Quadrics
• Appendices.