Bøger af Gunter M. Ziegler

"e;The appearance of Grunbaum's book Convex Polytopes in 1967 was a moment of grace to geometers and combinatorialists. The special spirit of the book is very much alive even in those chapters where the book's immense influence made them quickly obsolete. Some other chapters promise beautiful unexplored land for future research. The appearance of the new edition is going to be another moment of grace. Kaibel, Klee and Ziegler were able to update the convex polytope saga in a clear, accurate, lively, and inspired way."e; (Gil Kalai, The Hebrew University of Jerusalem) "e;The original book of Grnbaum has provided the central reference for work in this active area of mathematics for the past 35 years...I first consulted this book as a graduate student in 1967; yet, even today, I am surprised again and again by what I find there. It is an amazingly complete reference for work on this subject up to that time and continues to be a major influence on research to this day."e; (Louis J. Billera, Cornell University) "e;The original edition of Convex Polytopes inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again."e; (Peter McMullen, University College London)

Oriented matroids are a very natural mathematical concept which presents itself in many different guises and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry. This is the second edition of the first comprehensive, accessible account of the subject. It is intended for a diverse audience: graduate students who wish to learn the subject from scratch; researchers in the various fields of application who want to concentrate on certain aspects of the theory; specialists who need a thorough reference work; and others at academic points in between. A list of exercises and open problems ends each chapter. For the second edition, the authors have expanded the bibliography greatly to ensure that it remains comprehensive and up-to-date, and they have also added an appendix surveying research since the work was first published.

Based on a graduate course at the Technische Universitat, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes.

"Originally published in German as Darf ich Zahlen?: Geschichten aus der Mathematik ... 2010 by Piper Verlag GmbH, M'uchen"--Title page verso.

In this book of mathematical stories, the well-known and highly esteemed author provides a surprisingly entertaining tour of unfamiliar territory. He describes stories about numbers, problems, people who do math, and the places where mathematical discoveries are made (such as desks, libraries, beds, and churches). You'll discover that counting can be quite difficult'for example, news reports claiming that "bees can count" show that journalists can't count and people who shun 13 must assume that gods can't count.