Functional Analysis and Applications (Hardcover)

Abul Hasan Siddiqi

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商品描述

This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced.

The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.

商品描述(中文翻譯)

這本獨立的教科書討論了函數分析的所有主要主題。結合了經典材料和新方法,提供了許多相關的解決例子和問題,並討論了函數分析在不同領域中的應用。這本書在其範圍上是獨一無二的,並且將函數分析和運算子理論方法的各種應用都專門用於每個應用領域。每章都包含一組問題,其中一些是例行和基礎的,而另一些則更為高級。

這本書主要是為應用數學和工程的研究生和高年級本科生而設計的教科書。它具有幾個吸引人的特點,使其非常適合用於函數分析課程,旨在提供對該主題以及函數分析對應用和計算數學、非線性函數分析和優化的影響的基本介紹。它介紹了像小波、Gabor系統、反問題和信號和圖像處理的應用等新興主題。