圖書標籤: 數學
发表于2024-11-30
Galois Theories (Cambridge Studies in Advanced Mathematics) pdf epub mobi txt 電子書 下載 2024
Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups. In the core of the book, the authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience: the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. The first chapters are accessible to advanced undergraduates, with later ones at a graduate level. For all algebraists and category theorists this book will be a rewarding read.
非常精煉的參考書,從古典Galois理論開始,發展齣交換代數與交換環的Galois理論,範疇Galois理論是核心,最後以Topos理論結尾,對範疇論的要求比較高,不把GTM5打通讀起來很費力,我也是先瞭解一個框架,有些內容以後再慢慢消化。
評分非常精煉的參考書,從古典Galois理論開始,發展齣交換代數與交換環的Galois理論,範疇Galois理論是核心,最後以Topos理論結尾,對範疇論的要求比較高,不把GTM5打通讀起來很費力,我也是先瞭解一個框架,有些內容以後再慢慢消化。
評分非常精煉的參考書,從古典Galois理論開始,發展齣交換代數與交換環的Galois理論,範疇Galois理論是核心,最後以Topos理論結尾,對範疇論的要求比較高,不把GTM5打通讀起來很費力,我也是先瞭解一個框架,有些內容以後再慢慢消化。
評分非常精煉的參考書,從古典Galois理論開始,發展齣交換代數與交換環的Galois理論,範疇Galois理論是核心,最後以Topos理論結尾,對範疇論的要求比較高,不把GTM5打通讀起來很費力,我也是先瞭解一個框架,有些內容以後再慢慢消化。
評分非常精煉的參考書,從古典Galois理論開始,發展齣交換代數與交換環的Galois理論,範疇Galois理論是核心,最後以Topos理論結尾,對範疇論的要求比較高,不把GTM5打通讀起來很費力,我也是先瞭解一個框架,有些內容以後再慢慢消化。
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Galois Theories (Cambridge Studies in Advanced Mathematics) pdf epub mobi txt 電子書 下載 2024