Near Vector Spaces and Related Topics
暫譯: 近似向量空間及相關主題
Wu, Hsien-Chung
- 出版商: CRC
- 出版日期: 2025-09-25
- 售價: $9,580
- 貴賓價: 9.5 折 $9,101
- 語言: 英文
- 頁數: 774
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1041091257
- ISBN-13: 9781041091257
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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
Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas.
Since many topics in nonlinear analysis rely on the properties established in topological vector space, the concepts and topics presented in this book may stir up the interest of some researchers working in mathematical analysis, especially nonlinear analysis, and thus may potentially open a new avenue of research. The main prerequisites for most of the material in this book are basic concepts of functional analysis, including the basic tools of topology.
This book is accessible to senior undergraduate students in mathematics and may also be used as a graduate level text, or as a reference for researchers who work on the applications of nonlinear analysis.
Features
- Valuable resource for researchers and postgraduate students interested in the foundation of fuzzy sets and nonlinear analysis
- Presents new, previously unpublished material on near vector spaces
- Well-organized and comprehensive treatment of the subject.
商品描述(中文翻譯)
《近向量空間及相關主題》提供了近向量空間入門理論的系統性處理,以及一系列相關領域的探討。
由於許多非線性分析的主題依賴於拓撲向量空間中建立的性質,本書中所呈現的概念和主題可能會引起一些從事數學分析,特別是非線性分析的研究者的興趣,並因此可能開啟一條新的研究途徑。本書大多數內容的主要前提是功能分析的基本概念,包括拓撲的基本工具。
本書適合數學的高年級本科生,也可用作研究生級別的教材,或作為從事非線性分析應用的研究者的參考資料。
特點
- 對於對模糊集合和非線性分析基礎感興趣的研究者和研究生來說,是一個有價值的資源
- 提供有關近向量空間的新材料,這些材料之前未曾發表
- 對該主題進行了良好組織和全面的處理。
作者簡介
Hsien-Chung Wu is a Professor in the Department of Mathematics at the National Kaohsiung Normal University in Taiwan. He received his Ph.D from the University of Texas at Austin in USA. He is the sole author of more than 130 scientific papers published in international journals. He is an Associate Editor of Soft Computing, an Associate Editor of Fuzzy Optimization and Decision Making, and an Area Editor of International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. His current research includes the foundation of fuzzy sets and nonlinear analysis.
作者簡介(中文翻譯)
吳賢忠是台灣國立高雄師範大學數學系的教授。他在美國德克薩斯州奧斯汀的德克薩斯大學獲得博士學位。他是超過130篇發表於國際期刊的科學論文的唯一作者。他是《Soft Computing》的副編輯、《Fuzzy Optimization and Decision Making》的副編輯,以及《International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems》的區域編輯。他目前的研究包括模糊集合的基礎和非線性分析。