Lectures on Polytopes: 152 - Brossura

Ziegler, Günter M.

Brossura

ISBN 10: 038794365X ISBN 13: 9780387943657

Casa editrice: Springer, 2013

Riassunto

Based on a graduate course at the Technische Universität, 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 takes the reader quickly from the basics to topics of recent research. The lectures introduce basic facts about polytopes, with an emphasis on methods that yield the results, discuss important examples and elegant constructions, and show the excitement of current work in the field. They will provide interesting and enjoyable reading for researchers as well as students.

Su questo libro

Recensione:

"This is an excellent book on convex polytopes written by a young and extremely active researcher." --Acta Scientiarum Mathematicarum

"From the publication of the first printing, in 1994, this book became one of the most widely used textbooks in Discrete Geometry. The reviewer sees at least two reasons for that: the beautiful mathematics presented here, and the fact that the book can be used at a wide variety of levels, for several different courses. ... It is not only students who can benefits from the book. Researchers will find its updates notes and references very helpful." --Miklós Bóna, MathDL, August, 2007

Contenuti:

Preface; Preface to the Second Printing; Introduction and Examples; 1. Polytopes, Polyhedra, and Cones; 2. Faces of Polytopes; 3. Graphs for Polytopes; 4. Steinitz' Theorem for 3-Polytopes; 5. Schlegel Diagrams for 4-Polytopes; 6. Duality, Gale Diagrams, and Applications; 7. Fans, Arrangements, Zonotopes, and Tilings; 8. Shellability and the Upper Bound Theorem; 9. Fiber Polytopes, and Beyond; References; Index.

Su questa edizione

• Editore: Springer
• Data di pubblicazione: 2013
• ISBN 10: 038794365X
• ISBN 13: 9780387943657
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 388