Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I am interested in alternatives to Ziegler's Lectures on Polytopes, which is the suggested textbook for a course I am attending. I find the conversational style of the book jarring.

share|improve this question
    
I would recommend Brondsted, I'm currently reading through it and it is packed with information. It is very carefully written and it seems that every sentence is carefully placed to be essential at that moment in the book. –  Samuel Reid Jan 7 '12 at 23:07
add comment

3 Answers

Other books on Convex Polytopes are: Arne Brondsted, An Introduction to Convex Polytopes, Branko Grünbaum, Convex Polytopes (there is a second edition that updates the 1967 version), A. D. Alexandrov, Convex Polyhedra (translation from Russian of a Russian book from 1950, but with update and notes). They all have their pros/cons. I, at least, think Ziegler's book is excellent.

share|improve this answer
    
Grünbaum's book should be mandatory reading! –  Mariano Suárez-Alvarez Nov 2 '11 at 9:36
add comment

I think this (Regular Polytopes by Coxeter) would be a good book. I liked his book on geometry. Also the reviews seem to indicate that is is pretty good.

share|improve this answer
add comment

Some of the topics of Ziegler's (excellent) book (e.g. Gale transforms, f-vectors, the secondary polytope, fiber polytopes) are also covered in the "Triangulations" book of De Loera, Rambau and Santos. The treatment is from a slightly different perspective and definitely worth a look. They provide many pictures.

Another alternative (also more from the triangulations perspective) is the book Lectures in Geometric Combinatorics.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.