[L2] ================================================ AMAST Links 01 03

                    Lectures on Polytopes Available

  I am happy to announce that my ``Lectures on Polytopes'' finally do 
exist in print, and want to thank everyone for all the support I 
received with this project. 
   G"unter M. Ziegler
   ziegler@math.tu-berlin.de
   ============================================================
   G"unter M. Ziegler:     ``Lectures on Polytopes''
   Graduate Texts in Mathematics 152,
   Springer-Verlag New York Berlin Heidelberg 1995, 370 pages.
   Europe: hardcover  DM 108,00    ISBN 3-540-94329-3
           softcover  DM  48,00    ISBN 3-540-94365-X
   US:     hardcover    $ 59.00    ISBN 0-387-94329-3
           softcover    $ 29.00    ISBN 0-387-94365-X
   ============================================================
  Based on a graduate course given at the Technische Universit"at
Berlin, these lectures present a wealth of material on the modern
theory of convex polytopes.  The clear and straightforward
presentation features many illustrations, and provides complete
proofs for most theorems.  The material requires only linear
algebra as a prerequisite, but takes the reader quickly from the
basics to topics of recent research, including a number of
unanswered questions. The lectures
 o  introduce the basic facts about polytopes, with an emphasis on the 
    methods that yield the results (Fourier-Motzkin elimination, 
    Schlegel diagrams, shellability, Gale diagrams, oriented matroids)
 o  discuss important examples and elegant constructions (cyclic and 
    neighbourly polytopes, zonotopes, Minkowski sums, permutahedra and 
    associhedra, fiber polytopes, and the Lawrence construction)
 o  show the excitement of current work in the field (Kalai's new 
    diameter bounds, construction of non-rational polytopes, the 
    Bohne-Dress tiling theorem, the upper bound theorem, nonextendable 
    shellings)