李群論（英文版） [Theory of Lie Groups] 下載 mobi epub pdf 電子書 2024

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內容簡介

　　Expository books on the theory of Lie groups generally confine themselves to the local aspect of the theory.This limitation was probably necessary as long as general topology was not yet sufficiently well elaborated to provide a solid base for a theory in the large.These days are now passed， and we have thought that it would be'useful to have a systematic treatment of the theory from a global point of view. The present volume introduces the main basic principles which govern the theory of Lie groups.
　　A Lie group is at the same time a group， a topological space and a manifold: it has therefore three kinds of "structures，" which are interrelated with each other.The elem，entary properties of abstractgroups are by now sufficiently well known to the general mathematical public to make it unnecessary for such a book as this one to contain a purely group-theoretic chapter.The theory of topological groups， however， has been included and is treated in Chapter II. The great- est part of this chapteris concerned with the theory of covering spaces and groups， which is developed independently from the theory of paths. Chapter III is concerned with the theory of （analytic） mani-folds （independently of the notion of group）.Our definition of a manifold is inspired by the definition of a Riemann surface given by H. Weyl in his book。‘Die Idee der Riemannschen Flache"; it has， compared with the definition by overlapping system of coordinates， the advantage of being intrinsic.The theory of involutive systems of differential equations on a manifold is treated not only from the local point of view but also in the large. In order to achieve this， a defini-tion of the submanifolds of a manifold is given according to which a submanifold is not necessarily a topological subspace of the manifold in which it is imbedded.

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目錄

INTRODCTION
Ⅰ.THE CLASSICAL LINEAR GROUPS
Ⅱ.TOPOLIGIVAL GROUPS
Ⅲ.MANIFOLDS
Ⅳ.ANAKYTIC GROUPS.LIE GROUPS
Ⅴ.THE DIFFERENTIAL CALCULUS OF CARTAN
Ⅵ.COMPACT LIE AND THEIR REPRESENTATIONG
INDEX

前言/序言

李群論（英文版） [Theory of Lie Groups] 下載 mobi epub pdf txt 電子書 格式

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毫無疑問這是一本好書，京東送貨也很快，我很滿意!開捲有益，讀書好處多，陶冶情操，修身養性，還會再來的哦。一本書有一個故事，一個故事敘述一段人生，一段人生摺射一個世界。“讀萬捲書，行萬裏路”說的正是這個道理。讀詩使人高雅，讀史使人明智。讀每一本書都會有不同的收獲。“懸梁刺股”、“螢窗映雪”，自古以來，勤奮讀書，提升自我是每一個人的畢生追求。讀書是一種最優雅的素質，能塑造人的精神，升華人的思想。

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