I am looking for a reference for an elementary convex geometry. In Appendix A (page 1810) of this paper by Green and Tao, they cover some basic results from elementary convex geometry. The results seem straight forward enough, and I kinda get the proof, but since I know nothing about convex geometry I wanted to have a reference so that I can learn the terminologies and understand the proof properly. I don't know where to begin with finding the literature in this subject.... Any suggestion is appreciated!
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5$\begingroup$ en.wikipedia.org/wiki/Convex_geometry gives Expository articles on convex geometry K. Ball, An elementary introduction to modern convex geometry, in: Flavors of Geometry, pp. 1–58, Math. Sci. Res. Inst. Publ. Vol. 31, Cambridge Univ. Press, Cambridge, 1997, available online. M. Berger, Convexity, Amer. Math. Monthly, Vol. 97 (1990), 650—678. DOI: 10.2307/2324573 P. M. Gruber, Aspects of convexity and its applications, Exposition. Math., Vol. 2 (1984), 47—83. V. Klee, What is a convex set? Amer. Math. Monthly, Vol. 78 (1971), 616—631, DOI: 10.2307/2316569 and also a list of books $\endgroup$– Gerry MyersonCommented Nov 24, 2021 at 4:25
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$\begingroup$ So, how's it going? $\endgroup$– Gerry MyersonCommented Dec 2, 2021 at 12:36
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1$\begingroup$ Your references were very helpful, thank you! $\endgroup$– Johnny T.Commented Dec 4, 2021 at 17:43
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