多面形理論檢視原始碼討論檢視歷史
| 多面形理論 |
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多面形理論是由科學出版社出版的圖書，條形碼是9787030208880，ISBN是9787030208880。
基本信息
書名 多面形理論 [1]
出版社 科學出版社
開本 16 開
ISBN 9787030208880
平裝 335頁
正文語種 英語
條形碼 9787030208880
尺寸 24.2x17x2.2cm
內容簡介
This monograph is for a unified theory of surfaces, embeddings and maps all considered as polyhedra via the joint tree modal which was initiated from the author's articles in the seventies of last century and has been basically developed in recent decades. Complete invariants for each classification are topologically, combinatorially or isomorphically extracted. A number of counting polynomials including handle and crosscap polynomials are presented. In particular, an appendix serves as the exhaustive counting super maps (rooted and nonrooted) including these polynomials with under graphs of small size for the reader's digests.Although the book is mainly for researchers in mathematics, theoretical physics, chemistry, biology and some others related, the basic part in each chapter can also be chosen for graduates and college teachers as references.
目錄
Preface
Chapter Ⅰ Preliminaries
Ⅰ.1 Sets and mappings
Ⅰ.2 Partitions and permutations
Ⅰ.3 Group actions
Ⅰ.4 Networks
Ⅰ.5 Notes
Chapter Ⅱ Surfaces
Ⅱ.1 Polyhedra
Ⅱ.2 Elementary equⅣalence
Ⅱ.3 Polyhegons
Ⅱ.4 Orientability
Ⅱ.5 Classification
Ⅱ.6 Notes
Chapter Ⅲ Embeddings of Graphs
參考來源