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?


  • $\begingroup$ Based on looking at your top tags this request seems odd. You know that analytic geometry generally just refers to high school coordinate geometry, right? P.S. I'm not the one that downvoted. $\endgroup$ – user137731 Feb 21 '17 at 4:44
  • $\begingroup$ @Bye_World In my country we study vector analytic geometry just at university. The analytic geometry at high school here doesn't deal with vectors. $\endgroup$ – user42912 Feb 21 '17 at 4:45
  • $\begingroup$ arxiv.org/pdf/1111.6521.pdf $\endgroup$ – mle Feb 21 '17 at 4:46
  • $\begingroup$ Related. As are this and this. $\endgroup$ – user137731 Feb 21 '17 at 4:51
  • $\begingroup$ @Bye_World gave links to other questions where I gave a lot of references. However, those references are mainly at the high school and early college level. If you're looking for something a little more advanced, consider Multidimensional Analytic Geometry by Karol Borsuk (1969), which I've previously cited here. $\endgroup$ – Dave L. Renfro Feb 21 '17 at 15:25

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

  • $\begingroup$ Is there some translation available? $\endgroup$ – user42912 Feb 21 '17 at 7:10
  • $\begingroup$ I don't know of any. $\endgroup$ – user49640 Feb 21 '17 at 7:13

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