《多面形理論（英文版）》是2008年科學出版社出版的圖書，作者是Yanpei Liu。
基本介紹
- 中文名：多面形理論（英文版）
- 作者：Yanpei Liu
- 類別：自然科學類圖書
- 出版社：科學出版社
- 出版時間：2008年03月
- 定價：¥64.00
- 開本：16 開
- 裝幀：精裝
- ISBN：9787030208880
內容簡介,圖書目錄,
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.
圖書目錄
Preface
Chapter I Preliminaries
Chapter II Surfaces
Chapter III Embeddings of Graphs
Chapter IV Mathematical Maps
Chapter V Duality on Surfaces
Chapter VI Invariants on Basic Class
Chapter VII Asymmetrization
Chapter VIII Asymmetrized Census
Chapter IX Petal Bundles
Chapter X Super Maps of Genus Zero
Chapter XI Symmetric Census
Chapter XII Cycle Oriented Maps
Chapter XIII Census by Genus
Chapter XIV Classic Applications
Appendix I Embeddings and Maps of Small Size Distributed
Appendix II Orientable Forms of Surfaces and Their Nonorientable
Bibliography
Subject Index
Author Index
