Analytic geometry book

Question

I'm looking for a good book in analytic geometry which deals with line, hyperplanes, spheres, etc. in a vector perspective. Are there some standards references?

Thanks

Answer 1

Lekcii po analitičeskoj geometrii by P.S. Alexandrov is probably the standard textbook in Russian.

Answer 2

The following books might be of interest. In order to get an idea of the detailed content, I am linking the TOC:

• Ralph Palmer Agnew: Analytic Geometry and Calculus, with Vectors (TOC)
• P. R. Vittal: Analytical Geometry. 2D and 3D. (TOC)
• G. B. Thomas and R. L. Finney: Calculus and Analytical Geometry (TOC)
• E. W. Swokowski: Calculus with Analytic Geometry (TOC)

You may be interested in taking a look into these free PDFs:

• Ruslan A. Sharipov: Course of Analytical Geometry (arXiv)
• Friedan and Shenker: The analytic geometry of two-dimensional conformal field theory (this may be too far away from the desired topic)
• Robert-Ellis: Calculus with Analytic Geometry