So I'm an undergraduate with limited knowledge of analysis, and none of topology. I'm trying to study Convex Geometry, and I'm looking for recommendations for the same - in terms of books, video playlists, course webpages, etc.
It will be great if the book/resource is suited for self-study; but I don't mind if it's not!
One book I came across after a little search is Lectures on Convex Geometry by Daniel Hug and W. Weil - though I don't know much about it. Thank you!
There are numerous references; here are my 3 favorites:
A superb introduction is [1] Ball, Keith. "An elementary introduction to modern convex geometry." Flavors of geometry 31 (1997): 1-58. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.77.3836&rep=rep1&type=pdf
A wonderful but challenging book is: [2] Gilles Pisier, The volume of convex bodies and Banach space geometry, Cambridge Tracts in Mathematics, vol. 94, Cambridge University Press, Cambridge, 1989.
The combinatorial view: [3] Danzer, L., B. Grünbaum, and V. Klee. "Helly’s Theorem and its Relatives (Proceedings of Symposia in Pure Mathematics VII)." American Mathematical Society (Providence, RI, 1963): 101-180.