Convex Analysis in Polynomial Spaces with Applications
暫譯: 多項式空間中的凸分析及其應用
García, Domingo, Jung, Mingu, Maestre, Manuel
- 出版商: CRC
- 出版日期: 2025-10-17
- 售價: $8,460
- 貴賓價: 9.5 折 $8,037
- 語言: 英文
- 頁數: 186
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 103296765X
- ISBN-13: 9781032967653
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相關分類:
工程數學 Engineering-mathematics
海外代購書籍(需單獨結帳)
商品描述
Convex Analysis in Polynomial Spaces with Applications is intended to serve a broad audience of undergraduate and graduate students, junior and senior researchers, and as a general self-study guide for anyone who wishes to get acquainted with geometry of Banach spaces of polynomials with applications. This text is specifically designed to be appealing and accessible to the reader, and provides a general overview on the topic together with new and interesting directions of research. The text also contains original results and material never published before.
Features
- Comprehensive review on the geometry of spaces of polynomials.
- Visually attractive and accessible presentation, with over 75 explanatory figures.
- Contains many examples illustrating the results and techniques appearing in the book.
- Open (and deep!) questions within the area are provided so that the interested reader can begin doing independent research using the techniques presented in the text.
- It also features original results by the authors.
商品描述(中文翻譯)
《多項式空間中的凸分析及其應用》旨在服務於廣泛的讀者群，包括本科生和研究生、初級和高級研究人員，以及任何希望了解多項式的巴拿赫空間幾何及其應用的自學者。本書特別設計得既具吸引力又易於讀者理解，並提供該主題的一般概述以及新的有趣研究方向。本書還包含原創結果和從未發表過的材料。
特色
- 對多項式空間幾何的全面回顧。
- 視覺上吸引人且易於理解的呈現，包含超過75幅解釋性圖形。
- 包含許多示例，說明書中出現的結果和技術。
- 提供該領域內的開放（且深奧！）問題，以便有興趣的讀者可以開始使用書中介紹的技術進行獨立研究。
- 還包含作者的原創結果。
作者簡介
Domingo García is Professor of mathematics at the University of Valencia, Spain, where he also is Head of Department. He spent two sabbatical years at Universidade Estadual de Campinas, Brazil, in 1993 and Kent State University, USA, in the academic year 2004-05, respectively. He has an extensive research related to Banach space theory, specifically in norm attaining operators, Dirichlet series, and holomorphic functions.
Mingu Jung completed his Ph.D. in 2021 at Pohang University of Science and Technology (POSTECH) under the supervision of Yun Sung Choi and Manuel Maestre. His research focuses primarily on functional analysis and nonlinear analysis. He is currently a CMC Fellow (Hyo Chul Myung Assistant Professor) at the June E Huh Center for Mathematical Challenges, Korea Institute for Advanced Study (KIAS).
Manuel Maestre got his Ph.D. at the Universidad de Valencia (Spain) in 1982. He is corresponding academician of the Academy of Sciences of Spain and editor of journals of mathematics. His main interests include functional analysis, and complex analysis in finite and infinite dimensions. He is the author of more than 120 scientific publications,
including several books. Currently he is a Professor of Mathematics at Universidad de Valencia (Spain).
Gustavo A. Muñoz Fernández graduated in Mathematics and Physics and obtained a PhD in Mathematics from the Complutense University of Madrid (Spain) in 1999. His main mathematical interests lie in Functional Analysis, particularly in the study of polynomial spaces in normed spaces, the geometry of polynomial spaces, and polynomial inequalities. He has also conducted extensive research on algebraic genericity, specifically the lineability of spaces of rare functions. Currently, he is a Professor at the Complutense University of Madrid and the director of the Interdisciplinary Mathematics Institute (IMI).
Juan B. Seoane Sepúlveda received his first Ph.D. at the Universidad de C´adiz (Spain) jointly with Universit]at Karlsruhe (Germany) in 2005 under the supervision of Profs. Richard M. Aron and Antonio Aizpuru. His second Ph.D. was earned at Kent State University (Kent, Ohio, USA) in 2006 under the supervision of Profs. Richard M. Aron and Vladimir I. Gurariy. His main interests include Real and Complex Analysis, Operator Theory, Geometry of Banach spaces, History of Mathematics, Lineability and Spaceability, and Mathematical Biology. He is currently a Professor at Universidad Complutense de Madrid (Spain).
作者簡介(中文翻譯)
Domingo García 是西班牙瓦倫西亞大學的數學教授，並擔任系主任。他於1993年在巴西坎皮納斯州立大學和2004-05學年在美國肯特州立大學度過了兩年的學術休假。他在巴拿赫空間理論方面有廣泛的研究，特別是在達到範數的算子、狄利克雷級數和全純函數方面。
Mingu Jung 於2021年在浦項科技大學（POSTECH）獲得博士學位，指導教授為Yun Sung Choi和Manuel Maestre。他的研究主要集中在泛函分析和非線性分析。目前，他是韓國高等研究院（KIAS）數學挑戰中心的CMC研究員（Hyo Chul Myung助理教授）。
Manuel Maestre 於1982年在瓦倫西亞大學（西班牙）獲得博士學位。他是西班牙科學院的通訊院士，並擔任數學期刊的編輯。他的主要研究興趣包括泛函分析和有限及無限維的複分析。他是120多篇科學出版物的作者，包括幾本書籍。目前，他是西班牙瓦倫西亞大學的數學教授。
Gustavo A. Muñoz Fernández 於1999年在馬德里康普頓斯大學（Complutense University of Madrid）獲得數學學士和物理學士學位，並獲得數學博士學位。他的主要數學興趣在於泛函分析，特別是對範數空間中的多項式空間、多項式空間的幾何以及多項式不等式的研究。他還對代數通用性進行了廣泛的研究，特別是稀有函數空間的線性性。目前，他是馬德里康普頓斯大學的教授，並擔任跨學科數學研究所（IMI）的主任。
Juan B. Seoane Sepúlveda 於2005年在卡迪斯大學（西班牙）和卡爾斯魯厄大學（德國）共同獲得第一個博士學位，指導教授為Richard M. Aron和Antonio Aizpuru。他於2006年在肯特州立大學（美國俄亥俄州肯特）獲得第二個博士學位，指導教授同樣為Richard M. Aron和Vladimir I. Gurariy。他的主要研究興趣包括實分析和複分析、算子理論、巴拿赫空間的幾何、數學史、線性性和空間性以及數學生物學。目前，他是馬德里康普頓斯大學的教授。
