G
Günter M. Ziegler
Researcher at Free University of Berlin
Publications - 378
Citations - 11241
Günter M. Ziegler is an academic researcher from Free University of Berlin. The author has contributed to research in topics: Polytope & Matroid. The author has an hindex of 45, co-authored 372 publications receiving 10647 citations. Previous affiliations of Günter M. Ziegler include Technical University of Berlin & Augsburg College.
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Book
Lectures on Polytopes
TL;DR: In this article, the authors present a rich collection of material on the modern theory of convex polytopes, with an emphasis on the methods that yield the results (Fourier-Motzkin elimination, Schlegel diagrams, shellability, Gale transforms, and oriented matroids).
Journal ArticleDOI
Proofs from The BOOK
TL;DR: Aigner and Ziegler as discussed by the authors present proofs for a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erds, including the spectral theorem from linear algebra, some more recent jewels like the Borromean rings and other surprises.
Book
Proofs from THE BOOK
Martin Aigner,Günter M. Ziegler +1 more
TL;DR: This revised and enlarged fifth edition features four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like the non-existence of the Borromean rings and other surprises.
Book
Oriented matroids
TL;DR: The theory of oriented matroids provides a broad setting in which to model, describe, and analyze combinatorial properties of geometric configurations, among them duality, realizability, the study of simplicial cells, and the treatment of convexity.
Book
Using the Borsuk-Ulam theorem : lectures on topological methods in combinatorics and geometry
TL;DR: The Borsuk-Ulam Theorem and its application in topological interludes can be found in this paper, where maps and non-embeddability are discussed.