An Algebraic Approach to Geometry Geometric Trilogy II /

• Main Author: Borceux, Francis (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Subjects: Mathematics.; Geometry.; Projective geometry.; History.; Projective Geometry.; History of Mathematical Sciences.

This is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level and algebraic geometry at a graduate level, and it is also an important topic in ge...

Table of Contents:

• Introduction
• Preface
• 1.The Birth of Analytic Geometry
• 2.Affine Geometry
• 3.More on Real Affine Spaces
• 4.Euclidean Geometry
• 5.Hermitian Spaces
• 6.Projective Geometry
• 7.Algebraic Curves
• Appendices: A. Polynomials Over a Field
• B. Polynomials in Several Variables
• C. Homogeneous Polynomials
• D. Resultants
• E. Symmetric Polynomials
• F. Complex Numbers
• G. Quadratic Forms
• H. Dual Spaces
• Index
• Bibliography.