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Titlebook: Topics in Group Theory; Geoff C. Smith,Olga M. Tabachnikova Textbook 2000 Springer-Verlag London 2000 Abstract algebra.Symmetry.algebra.gr

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发表于 2025-3-21 18:31:38 | 显示全部楼层 |阅读模式
书目名称Topics in Group Theory
编辑Geoff C. Smith,Olga M. Tabachnikova
视频videohttp://file.papertrans.cn/927/926188/926188.mp4
概述Written by the author of introductory mathematics: Algebra and Analysis, one of SUMS‘ best-selling titles adopts an informal approach that has proved popular with students and lecturers alike supporte
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Topics in Group Theory; Geoff C. Smith,Olga M. Tabachnikova Textbook 2000 Springer-Verlag London 2000 Abstract algebra.Symmetry.algebra.gr
描述We very much hope that this book will be read by the interested student (and not just be parked on a shelf for occasional consultation). If you want a comprehensive reference book on Group Theory, do not buy this text. There are much better books available, some of which are mentioned below. We have a tale to tell; the absolute essentials of the theory of groups, followed by some entertainments and some more advanced material. The theory of groups is an enormous body of material which interacts with other branches of mathematics at countless frontiers. Some parts of the theory are essentially complete, but in other areas all we see are questions. People happily read novels, so why not mathematics books? When math­ ematics was studied by only a few people, there was less need to try to write attractively or encouragingly since the likely readership consisted of a small group of highly motivated individuals who needed little encouragement. Even so, many talented academic writers managedto write brilliantly because they knew no other way. As higher education has opened up in economically devel­ oped countries, a much more diverse collection of people is exploring advanced mathematics
出版日期Textbook 2000
关键词Abstract algebra; Symmetry; algebra; group action; group theory
版次1
doihttps://doi.org/10.1007/978-1-4471-0461-2
isbn_softcover978-1-85233-235-8
isbn_ebook978-1-4471-0461-2Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London 2000
The information of publication is updating

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invigorating
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带来的感觉
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Entertainments,On the other hand some geometric perspectives on group theory work just as well for finite as for infinite groups. Certain properties of finite groups have the aroma of their infinite relatives, whereas some of the strictly combinatorial (counting) arguments which flow from Sylow’s theorem have a pungent finite odour.
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Action,ortant special case is when Ω is finite and consists of the first n natural numbers. We refer to this symmetric group as ... If . is any set of size n, then there is a bijection . {1, 2,…, n} which induces a map .: Sym . S. via (.). =..οσο. for every σ ∈Sym . It is straightforward to verify that . i
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Genistein
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Appendix B: Relations and Orderings,ggestive alternative way to express this is to use infix notation and write . to mean (.) ∈ . For some reason, probably habit, people seem to prefer some non-alphabetic symbol when using infix notation. Let us pander to this, and write a ~ . as yet another synonym for (.) ∈ . If .. is a non-empty su
genesis
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Exaggerate
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Action,s not matter what the elements of Ω actually are! Now we know this, there is a powerful temptation to describe Sym. as ..,just as C. gets used to mean the cyclic group of order n that we happen to be thinking about at a given moment.
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Textbook 2000ivated individuals who needed little encouragement. Even so, many talented academic writers managedto write brilliantly because they knew no other way. As higher education has opened up in economically devel­ oped countries, a much more diverse collection of people is exploring advanced mathematics
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