《泛系理论与数学方法》(全书》

《泛系理论与数学方法》(全书》

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大小:2.05 MB

页数:119页

时间:2018-08-02

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1、前言本书概括地介绍泛系理论、逼近转化论与电磁介质动力学等价论,并结合论及数学方法与数学思想。我们着重介绍背景、思路、方法、概念与一部分结果,而省掉了纯属技术性的证明细节。自然,一旦明晰了思路与背景,大部分结果是可以作为一般性数学习作来证明的。书中列述了数百个定性定量的结果,它们对多种专题有用,也可能作为引玉之砖,激发一些新的研究。我们侧重从宏观扩形角度或泛系观来看待事物与数学方法,许多内容来自多咱学科专题的概括,属一家之言,求教于读者,愿共同探讨。目录一泛系理论与泛系数学观1.1从泛系方法观说起···········································

2、························································11.2PM3456:三对象、四侧重、五背景、六发展·····························································31.3广义系统,泛语与泛网·······························································································71.4两大关系及其衍生·····························

3、····································································111.5典型二元关系,泛序关系与异同关系及其衍生·················································181.6对单值化的泛系数学观·························································································261.7动静关系与泛导,泛对称与简化法,电磁介质动力学等价理论···············

4、······3421.8泛导BCS分析······································································································471.9观控关系与相对律·································································································511.10因果分析与数学方法···············································

5、··············································571.11生克关系与观控性(续),相容法·······································································611.12泛权聚类与识别·····································································································661.13泛系经与数学和数学方法························

6、·····························································70二逼近转化论的泛系方法分析2.1概论·························································································································882.2从逼近概念的抽象与分化说起·········································································

7、····932.3对等价定理的泛系反思·························································································962.4.变分、驻值与泛环分析中的泛系观··································································1012.5变分转化的进一步研究·······························

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