Affine and Projective Geometry (Bennett/Affine) || Introduction

✍ Scribed by Bennett, M. K.

• Book ID: 120466976
• Publisher: John Wiley & Sons, Inc.
• Year: 2011
• Tongue: English
• Weight: 819 KB
• Edition: 1
• Category: Article
• ISBN: 0471113158
• DOI: 10.1002/9781118032565.ch1

✦ Synopsis

Combines three different approaches to affine and projective geometry--algebraic, synthetic and lattice theoretic. By emphasizing these three perspectives, the author demonstrates how areas of mathematics overlap--in this case, algebra and geometry. Provides a complete, detailed and self-contained description of the coordinatization of (Desarguesian) affine and projective space and a thorough discussion of the lattices of these spaces' flats. Concludes with the Fundamental Theorem of Projective Geometry relating synthetic collineations, lattice and vector space isomorphisms. Includes numerous examples and exercises which enable students to develop their skills.