A Concise Introduction to Functional Analysis
暫譯: 簡明功能分析導論
Oliveira, César R. de
- 出版商: CRC
- 出版日期: 2025-11-14
- 售價: $4,760
- 貴賓價: 9.5 折 $4,522
- 語言: 英文
- 頁數: 202
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 104110328X
- ISBN-13: 9781041103288
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相關分類:
線性代數 Linear-algebra
海外代購書籍(需單獨結帳)
相關主題
商品描述
A Concise Introduction to Functional Analysis is designed to serve a one-semester introductory graduate (or advanced undergraduate) course in functional analysis.
The text is pragmatically structured so that each unit corresponds to one class, with the hope of being helpful for both students and teachers. It is expected that this text will provide students with a strong general understanding of the subject, and that they should feel well equipped to take on the more advanced texts and courses covering topics not treated here.
Features
- Numerous examples and counterexamples to illustrate such abstract concepts
- Over 430 exercises, with partial solutions included in the book itself
- Minimal pre-requisites beyond linear algebra and general topology.
商品描述(中文翻譯)
《功能分析簡明導論》旨在作為一學期的研究生（或進階本科生）功能分析入門課程的教材。
本書的結構實用，每個單元對應一堂課，期望能對學生和教師都有所幫助。預期本書將為學生提供對該主題的強大一般理解，使他們能夠充分準備進入更高級的教材和課程，涵蓋本書未涉及的主題。
特色
- 許多範例和反範例來說明這些抽象概念
- 超過430道習題，書中包含部分解答
- 除了線性代數和一般拓撲學外，幾乎不需要其他先修知識。
作者簡介
César R. de Oliveira earned his Ph.D. in Physics from the University of São Paulo in 1987. He has been a visiting professor at the Università degli Studi di Milano (1991-1992) and the University of British Columbia (2008-2009). He is currently a Full Professor in the Federal University of São Carlos.
His research lies in the field of Mathematical Physics, with publications in both mathematics and physics journals. He has supervised twelve Ph.D. students, and his main areas of interest include Schrödinger and Dirac operators, the Aharonov-Bohm effect, mathematical models of graphene, quantum (in)stability, and dynamical localization.
He also enjoys writing textbooks and has authored four of them. In 2000, he published an introductory mechanics book (in Portuguese, with animations and interactive content on CD-ROM) through his University. In 2010, he released a graduate-level book on functional analysis (in Portuguese) with IMPA (Rio de Janeiro). In 2009, the book Spectral Theory and Quantum Dynamics was published by Birkhäuser (Switzerland). Most recently, in 2023, he co-authored Spectral Measures and Dynamics: Typical Behaviors with M. Aloisio and S. Carvalho.
作者簡介(中文翻譯)
於1987年在聖保羅大學獲得物理學博士學位。他曾擔任米蘭大學（Università degli Studi di Milano，1991-1992）和不列顛哥倫比亞大學（University of British Columbia，2008-2009）的訪問教授。目前，他是聖卡洛斯聯邦大學的正教授。
他的研究領域為數學物理，並在數學和物理期刊上發表了多篇論文。他指導過十二位博士生，主要研究興趣包括薛丁格（Schrödinger）和狄拉克（Dirac）算子、阿哈羅諾夫-博姆效應（Aharonov-Bohm effect）、石墨烯的數學模型、量子（不）穩定性以及動態定位（dynamical localization）。
他也喜歡撰寫教科書，並已著作四本。2000年，他通過其大學出版了一本介紹性力學書籍（以葡萄牙語撰寫，並附有動畫和互動內容的CD-ROM）。2010年，他與IMPA（里約熱內盧）共同出版了一本研究生級別的泛函分析書籍（以葡萄牙語撰寫）。2009年，書籍《光譜理論與量子動力學》（Spectral Theory and Quantum Dynamics）由瑞士的Birkhäuser出版。最近，在2023年，他與M. Aloisio和S. Carvalho共同撰寫了《光譜測度與動力學：典型行為》（Spectral Measures and Dynamics: Typical Behaviors）。
