扭结理论|报价￥23.00|图书,考试、教材与参考书,本科及研究生教材,理工农,
品牌：
基本信息
·出版社：世界图书出版公司
·页码：182 页码
·出版日：2000年
·ISBN：7506200872
·条码：9787506200875
·版次：2000年12月第1版
·装帧：平装
·开本：24开 24开
内容简介
This book was written as an introductory text for a one semester course and, as such, it is far from a comprehensive reference work. Its lack of completeness is now more apparent than ever since, like most branches of mathematics, knot theory has expanded enormously during the last fifteen years. The book could certainly be rewritten by including more material and also by introducing topics in a more elegant and up-to-date style. Accomplishing these objectives would be extremely worthwhile. However, a significant revision of the original work along these lines, as opposed to writing a new book, would probably be a mistake. As inspired by its senior author, the late Ralph H. Fox, this book achieves qualities of effectiveness, brevity, elementary character, and unity. These characteristics would be jeopardized, if not lost, in a major revision. As a result, the book is being republished unchanged, except for minor corrections. The most important of these occurs in Chapter III, where the old sections 2 and 3 have been interchanged and somewhat modified. The original proof of the theorem that a group is free if and only if it is isomorphic to F[] for some alphabet contained an error, which has been corrected using the fact that equivalent reduced words are equal.
本书为英文版。
编辑推荐
This book was written as an introductory text for a one semester course and, as such, it is far from a comprehensive reference work. Its lack of completeness is now more apparent than ever since, like most branches of mathematics, knot theory has expanded enormously during the last fifteen years. The book could certainly be rewritten by including more material and also by introducing topics in a more elegant and up-to-date style. Accomplishing these objectives would be extremely worthwhile. However, a significant revision of the original work along these lines, as opposed to writing a new book, would probably be a mistake. As inspired by its senior author, the late Ralph H. Fox, this book achieves qualities of effectiveness, brevity, elementary character, and unity. These characteristics would be jeopardized, if not lost, in a major revision. As a result, the book is being republished unchanged, except for minor corrections. The most important of these occurs in Chapter III, where the old sections 2 and 3 have been interchanged and somewhat modified. The original proof of the theorem that a group is free if and only if it is isomorphic to F[] for some alphabet contained an error, which has been corrected using the fact that equivalent reduced words are equal.
目录
Prerequisites
Chapter Ⅰ Knots and Knot Types
1.Definition of a knot
2.Tame versus wild knots
3.Knot projections
4.Isotopy type， amphichelral and invertible knots
……[看更多目录]
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