Applied Functional Analysis
暫譯: 應用函數分析
Oden, J. Tinsley, Demkowicz, Leszek
- 出版商: CRC
- 出版日期: 2023-01-21
- 售價: $2,110
- 貴賓價: 9.5 折 $2,005
- 語言: 英文
- 頁數: 632
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1032476370
- ISBN-13: 9781032476377
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相關主題
商品描述
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.
商品描述(中文翻譯)
《應用泛函分析（第三版）》為該主題提供了堅實的數學基礎。它通過提供許多來自力學和科學的當代應用和例子，激勵學生學習泛函分析。
這本廣受好評的教科書首先對現代數學進行了徹底的介紹，然後詳細涵蓋了線性代數、Lebesgue 測度與積分理論，以及帶度量空間的拓撲學。
最後兩章為讀者提供了對 Banach 空間和 Hilbert 空間理論的深入探討，並以對譜理論的簡要介紹作結。
第三版更具可讀性，並促進學生的興趣和動機，為他們準備學習數值分析的數學方面和有限元素的數學理論。
作者簡介
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).
作者簡介(中文翻譯)
J. Tinsley Oden 是德克薩斯大學奧斯汀分校計算工程與科學研究所 (ICES) 的所長及研究副校長。Oden 博士同時也是美國國家工程院的成員，並於 2009 年獲得 SIAM 傑出職業獎。他擁有五個榮譽博士學位，並被法國政府授予學術榮譽騎士 (Chevalier de l'Ordre des Palmes Académiques) 的稱號。
Leszek F. Demkowicz 是 ICES 的助理所長，並擔任德克薩斯大學奧斯汀分校航空工程與工程力學系的教授。Demkowicz 博士是波蘭計算力學協會 (PACM) 的創始成員之一，並於 1991 年至 1993 年擔任首任會長。他最近的研究已在兩卷書《Computing with hp-ADAPTIVE FINITE ELEMENTS》（CRC Press, 2007 和 2008）中總結。因其在 hp 方法方面的工作，他於 2009 年獲得 PACM 的 Zienkiewicz 獎章及美國計算力學協會 (USACM) 的 2009 年計算與應用科學獎。
