Lectures on polytopes
著者
書誌事項
Lectures on polytopes
(Graduate texts in mathematics, 152)
Springer-Verlag, c2006
Updated 7th printing of 1st ed.
- : pbk.
- : hdk.
並立書誌 全2件
-
-
Lectures on polytopes / Günter M. Ziegler
BA4050768X
-
Lectures on polytopes / Günter M. Ziegler
-
-
Lectures on polytopes / Günter M. Ziegler
BA24036607
-
Lectures on polytopes / Günter M. Ziegler
大学図書館所蔵 全13件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Bibliography: p. [325]-366
Includes index
内容説明・目次
- 巻冊次
-
: hdk. ISBN 9780387943299
内容説明
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 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.
目次
and Examples.- Polytopes, Polyhedra, and Cones.- Faces of Polytopes.- Graphs of Polytopes.- Steinitz’ Theorem for 3-Polytopes.- Schlegel Diagrams for 4-Polytopes.- Duality, Gale Diagrams, and Applications.- Fans, Arrangements, Zonotopes, and Tilings.- Shellability and the Upper Bound Theorem.- Fiber Polytopes, and Beyond.- Fiber Polytopes, and Beyond.
- 巻冊次
-
: pbk. ISBN 9780387943657
内容説明
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 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.
目次
- 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.
「Nielsen BookData」 より