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Titlebook: Nonstandard Analysis; Martin V?th Textbook 2007 Birkh?user Basel 2007 calculus.differential equation.functional analysis.model theory.nons

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發(fā)表于 2025-3-21 19:34:57 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Nonstandard Analysis
編輯Martin V?th
視頻videohttp://file.papertrans.cn/668/667893/667893.mp4
概述Introductory text focussing on the more advanced applications of nonstandard analysis.Preliminary knowledge in model theory not required.Deep models for nonstandard embeddings are described with detai
圖書封面Titlebook: Nonstandard Analysis;  Martin V?th Textbook 2007 Birkh?user Basel 2007 calculus.differential equation.functional analysis.model theory.nons
描述.Nonstandard analysis was originally developed by Robinson to rigorously?justify infinitesimals like df and dx in expressions like df/dx in Leibniz‘ calculus or even to justify concepts like delta-`functions‘. However, the approach is much more general and was soon extended by Henson, Luxemburg and others to a useful tool especially in more advanced analysis, topology, and functional analysis. The book is an introduction with emphasis on those more advanced applications in analysis which are hardly accessible by other methods. Examples of such topics are a deeper analysis of certain functionals like Hahn-Banach limits or of finitely additive measures: From the viewpoint of classical analysis these are strange objects whose mere existence is even hard to prove. From the viewpoint of nonstandard analysis, these are rather ‘explicit‘ objects. ..Formally, nonstandard analysis is an application of model theory in analysis. However, the reader of the book is not expected to have any background in model theory; instead knowledge of calculus is required and, although the book is rather self-contained, background in more advanced analysis or (elementary) topology is useful..
出版日期Textbook 2007
關(guān)鍵詞calculus; differential equation; functional analysis; model theory; nonstandard analysis
版次1
doihttps://doi.org/10.1007/978-3-7643-7774-8
isbn_ebook978-3-7643-7774-8
copyrightBirkh?user Basel 2007
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沙發(fā)
發(fā)表于 2025-3-21 21:58:31 | 只看該作者
板凳
發(fā)表于 2025-3-22 02:05:50 | 只看該作者
Martin V?thtement of a cultural system, and the problem of studying religion in my view is to explain the relationship between the religious ideas that people hold and the social world that they create for themselves.
地板
發(fā)表于 2025-3-22 07:44:30 | 只看該作者
y background in model theory; instead knowledge of calculus is required and, although the book is rather self-contained, background in more advanced analysis or (elementary) topology is useful..978-3-7643-7774-8
5#
發(fā)表于 2025-3-22 12:20:26 | 只看該作者
phical Abstraction, the formation of concepts, and the construction of conceptual models present us with complex philosophical problems which date back to Democritus, Plato and Aristotle. We have all, at one time or another, wondered just how we think; are our thoughts, concepts and models of realit
6#
發(fā)表于 2025-3-22 15:46:45 | 只看該作者
Martin V?thld a life together in the future. This is pretty much how the past will be treated here. The only past that will matter is the one that has influenced the intellectual formation of the present, which is to say the only past that, in its efforts to define itself, the present needs for the sake of its own narrativization.
7#
發(fā)表于 2025-3-22 19:18:31 | 只看該作者
Martin V?thally doggedly and despite the obvious fact that I was never going to be good at it. My teacher was a violinist in the Concertgebouw Orchestra and took me along during rehearsals where I was allowed to sit on a podium chair. Before my legs could reach the floor I had heard and seen all the great conductors of Europe.
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發(fā)表于 2025-3-23 01:11:11 | 只看該作者
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