Based on a graduate course at the Technische Universitat, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it ta[...]
The subject of mathematics is not something distant, strange, and abstract that you can only learn about-and often dislike-in school. It is in everyday situations, such as housekeeping, communications, traffic, and weather reports. Taking you on a trip into the world of mathematics, Do I Count? Stor[...]
This revised and enlarged fourth edition features five new chapters, which treat classical results such as the "Fundamental Theorem of Algebra", problems about tilings, but also quite recent proofs, for example of the Kneser conjecture in graph theory. The new edition also presents further improveme[...]
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. From the Reviews ..". Insi[...]
Die Sammlung eleganter mathematischer Beweise wurde fur die 3. Auflage deutlich erweitert: In funf neuen Kapiteln prasentieren die Autoren Klassiker wie den Fundamentalsatz der Algebra, kombinatorisch-geometrische Zerlegungsprobleme, aber auch Beweise aus jungster Zeit, etwa den fur die Kneser-Vermu[...]