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Synopsis
《走向数学丛书：波利亚计数定理》在引入群的概念和性质的基础上，介绍了群在集上的作用，说明了一个重要的公式，接着引入了权的概念，从而引出了波利亚计数定理。最后介绍定理的一项重要应用--化学上同分异构体的计数问题，在叙述过程中同时介绍了母函数的概念。续编说明编写说明序言一几个问题1.1球棒组合玩具1.2涂色的积木1.3同分异构体1.4开关电路二对称和群2.1构形计数与对称2.2几何上的对称2.3两个应用的例子2.4什么是群？2.5群的一些基本性质2.6两种常见的群2.7置换群三"伯氏引理"3.1群在集上的作用3.2轨和稳定子群3.3伯氏引理的证明3.4伯氏引理的应用3.5空间的有限旋转群四波利亚计数定理4.1怎样推广伯氏引理至波利亚计数定理？4.2波利亚计数定理的应用4.3伯氏引理的另一种推广五同分异构体的计数5.1引言5.2母函数的运用5.3烷基CNH2N+1X的计数5.4烷烃CNH2N+2的计数附录群的故事参考文献
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Toward mathematics Series: Polya enumeration theorem(Chinese Edition)
Published by
Dalian Polytechnic University Pub. Date :2011-5-1, 2011
ISBN 10: 7561161484
ISBN 13: 9787561161487
New
paperback
Seller: liu xing, Nanjing, JS, China
Seller rating 5 out of 5 stars
paperback. Condition: New. Paperback. Pub Date: 2011. Pages: 142 Publisher: Dalian University of Technology Press towards mathematics Series: Polya counting theorem introduced the concept and the nature of the group on the basis of the group set an important formula. followed by the introduction of the concept of the right. which leads Polya enumeration theorem. Finally. an important theorem application - chemically the same isomeric counting problems. also introduced the concept of generating function in the narrative. Seller Inventory # CC022238