《泛系理论与数学方法》（全书》

《《泛系理论与数学方法》（全书》》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

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······················································

3、·········································71.4两大关系及其衍生·································································································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·············

4、············································································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·····················3421.8泛导BCS分析······································································································471.9观控关

5、系与相对律·································································································511.10因果分析与数学方法·····························································································571.11生克关系与观控性（续），相容法·····················

6、··················································611.12泛权聚类与识别·····································································································661.13泛系经与数学和数学方法·······································································

7、··············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·············································································93

8、2.3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·······························