Linear functional analysis綫性泛函分析 2024 pdf epub mobi 電子書 下載


Linear functional analysis綫性泛函分析

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Linear functional analysis綫性泛函分析 pdf epub mobi 著者簡介


Linear functional analysis綫性泛函分析 pdf epub mobi 圖書描述

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material.</P>

The initial chapters develop the theory of infinite-dimensional normed spaces, in particular Hilbert spaces, after which the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapters discuss the particularly important areas of integral and differential equations.</P>

Further highlights of the second edition include:</P>

a new chapter on the Hahn&#8211;Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces - topics that have applications to both linear and nonlinear functional analysis;</P>

extended coverage of the uniform boundedness theorem;</P>

plenty of exercises, with solutions provided at the back of the book.</P>

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Linear functional analysis綫性泛函分析 2024 pdf epub mobi 電子書 下載

Linear functional analysis綫性泛函分析 2024 pdf epub mobi 電子書 下載

Linear functional analysis綫性泛函分析 2024 pdf epub mobi 電子書 下載



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出版者:Springer
作者:Bryan P. Rynne
出品人:
頁數:273
譯者:
出版時間:2006-09-20
價格:409.00元
裝幀:Paperback
isbn號碼:9781852332570
叢書系列:

圖書標籤: 要考試瞭  實分析7  好緊張啊   


Linear functional analysis綫性泛函分析 2024 pdf epub mobi 電子書 下載
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