Applied Functional Analysis

Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science.

This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces.

The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory.

The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements.

應用泛函分析（第三版）為該主題提供了堅實的數學基礎。它通過提供許多當代應用和來自力學和科學領域的例子來激發學生學習泛函分析的興趣。

這本廣受好評的教科書首先從對現代數學的全面介紹開始，然後詳細介紹了線性代數、勒貝格測度和積分理論，以及帶度量空間的拓撲學。

最後兩章深入探討了巴拿赫空間和希爾伯特空間的理論，最後簡要介紹了譜理論。

第三版更易於理解，並激發學生的興趣和動機，為他們學習數值分析的數學方面和有限元理論做好準備。

J. Tinsley Oden is the Director of the Institute for Computational Engineering and Sciences (ICES) and Associate Vice President for

Research at The University of Texas at Austin. Dr. Oden is also a member of the US National Academy of Engineering and the

recipient of the 2009 SIAM Distinguished Career Award. He holds five honorary doctorates and was knighted Chevalier de l'Ordre

des Palmes Académiques by the French government.

Leszek F. Demkowicz is the Assistant Director of ICES and a professor in the Department of Aerospace Engineering and

Engineering Mechanics at The University of Texas at Austin. Dr. Demkowicz was one of the founding members of the Polish

Association for Computational Mechanics (PACM), serving as its first president from 1991 to 1993. His recent research has been

summarized in the two volumes Computing with hp-ADAPTIVE FINITE ELEMENTS (CRC Press, 2007 and 2008). For his work on

hp methods, he was awarded the 2009 Zienkiewicz Medal by PACM and the 2009 Computational and Applied Sciences Award by

the United States Association for Computational Mechanics (USACM).

J. Tinsley Oden是德州大學奧斯汀分校計算工程與科學研究所（ICES）的所長，也是該校研究副校長。Oden博士還是美國國家工程院和2009年SIAM傑出職業獎的獲獎者。他擁有五個榮譽博士學位，並被法國政府封為Chevalier de l'Ordre des Palmes Académiques。

Leszek F. Demkowicz是ICES的助理所長，也是德州大學奧斯汀分校航空航天工程和工程力學系的教授。Demkowicz博士是波蘭計算力學協會（PACM）的創始成員之一，並在1991年至1993年擔任該協會的第一任主席。他最近的研究成果被總結在兩卷《使用hp自適應有限元素進行計算》（CRC Press，2007年和2008年）中。由於他在hp方法上的工作，他獲得了PACM的2009年Zienkiewicz獎和美國計算力學協會（USACM）的2009年計算和應用科學獎。