Bøker av Gunter M. Ziegler

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.