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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

user42912
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    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. –  Feb 21 '17 at 04:44
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    @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. – user42912 Feb 21 '17 at 04:45
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    https://arxiv.org/pdf/1111.6521.pdf – mle Feb 21 '17 at 04:46
  • Related. As are this and this. –  Feb 21 '17 at 04:51
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    @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. – Dave L. Renfro Feb 21 '17 at 15:25
  • @DaveL.Renfro Interesting. I didn't even know there were books on advanced analytic geometry. (At the risk of seeing a trend in only two data points) Based on your recommendation and mle's, it looks like they may tend to all come out of Russia/ Slavic countries. Very interesting. –  Feb 21 '17 at 15:30

2 Answers2

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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:

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

user49640
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