Geometry and Non-Convex Optimization
暫譯: 幾何與非凸優化

Pardalos, Panos M., Rassias, Themistocles M.

Geometry and Non-Convex Optimization
  • 出版商: Springer
  • 出版日期: 2025-07-01
  • 售價: $7,650
  • 貴賓價: 9.5 折 $7,268
  • 語言: 英文
  • 頁數: 740
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031870565
  • ISBN-13: 9783031870569

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商品描述

This book offers a comprehensive exploration of the dynamic intersection between geometry and optimization. It delves into the intricate study of Hermite-Hadamard inequalities, Hilbert type integral inequalities, and variational inequalities, providing a rich tapestry of theoretical insights and practical applications.

Readers will encounter a diverse array of topics, including the bounds for the unweighted Jensen's gap of absolutely continuous functions and the properties of Barrelled and Bornological locally convex spaces. The volume also covers advanced subjects such as multiobjective mixed-integer nonlinear optimization and optimum statistical analysis on sphere surfaces. Contributions from eminent scholars provide a deep dive into C*-ternary biderivations, Erdős-Szekeres products, and variational principles, making this book a must-read for those seeking to expand their understanding of these complex fields.

Ideal for researchers and scholars in mathematics and optimization, this volume is an invaluable resource for anyone interested in the latest developments in geometry and nonconvex optimization. Whether you are a seasoned academic or a graduate student, this book will enhance your knowledge and inspire further research in these fascinating domains.

商品描述(中文翻譯)

這本書全面探討了幾何學與優化之間的動態交集。它深入研究了Hermite-Hadamard不等式、Hilbert型積分不等式和變分不等式，提供了豐富的理論見解和實際應用。

讀者將接觸到多樣的主題，包括絕對連續函數的無權Jensen差距的界限，以及Barrelled和Bornological局部凸空間的性質。本書還涵蓋了高級主題，如多目標混合整數非線性優化和球面上的最佳統計分析。來自著名學者的貢獻深入探討了C*-三元雙導數、Erdős-Szekeres乘積和變分原則，使這本書成為那些希望擴展對這些複雜領域理解的讀者必讀的資料。

本書非常適合數學和優化領域的研究人員和學者，是任何對幾何學和非凸優化最新發展感興趣的人的寶貴資源。無論您是資深學者還是研究生，這本書都將增強您的知識並激發您在這些迷人領域進一步研究的興趣。

作者簡介

Panos Pardalos is a Distinguished Emeritus Professor in the Department of Industrial and Systems Engineering at the University of Florida, and an affiliated faculty of Biomedical Engineering and Computer Science & Information & Engineering departments. He is a world-renowned leader in Global Optimization, Mathematical Modeling, Energy Systems, Financial applications, and Data Sciences. He is a Fellow of AAAS, AAIA, AIMBE, EUROPT, and INFORMS and was awarded the 2013 Constantin Caratheodory Prize of the International Society of Global Optimization. In addition, Panos Pardalos has been awarded the 2013 EURO Gold Medal prize bestowed by the Association for European Operational Research Societies. This medal is the preeminent European award given to Operations Research (OR) professionals for "scientific contributions that stand the test of time." He has also been awarded the prestigious Humboldt Research Award (2018-2019). The Humboldt Research Award is granted in recognition of a researcher's entire achievements to date -- fundamental discoveries, new theories, insights that have had significant impact on their discipline. Themistocles M. Rassias is Emeritus professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Professor Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, Professor Rassias has published as author or volume editor several books published with Springer. Th. M. Rassias has received several awards and is an active editorial board member of an array of journals in mathematical analysis and optimization. His publications have received a large number of citations, with h-index 47.

作者簡介(中文翻譯)

Panos Pardalos 是佛羅里達大學工業與系統工程系的榮譽退休教授，並且是生物醫學工程及計算機科學與資訊工程系的附屬教員。他是全球優化、數學建模、能源系統、金融應用及數據科學領域的世界知名領袖。他是美國科學促進會（AAAS）、美國人工智慧協會（AAIA）、美國醫學與生物工程學會（AIMBE）、歐洲優化協會（EUROPT）及運籌學會（INFORMS）的會士，並於2013年獲得國際全球優化學會的康斯坦丁·卡拉西奧多里獎。此外，Panos Pardalos 還獲得了2013年由歐洲運籌學會頒發的歐洲金獎。這枚獎章是頒發給運籌學（OR）專業人士的卓越歐洲獎項，表彰其「經得起時間考驗的科學貢獻」。他還獲得了享有盛譽的洪堡研究獎（2018-2019）。洪堡研究獎是對研究者迄今為止整體成就的認可——包括基本發現、新理論及對其學科產生重大影響的見解。 Themistocles M. Rassias 是雅典國立技術大學的數學榮譽教授。他的研究興趣包括非線性分析、全局分析、逼近理論、函數分析、函數方程、不等式及其應用。Rassias 教授於1976年在加州大學伯克利分校獲得數學博士學位；他的論文指導教授是 Stephen Smale，學術指導教授是陳省身。除了他廣泛的期刊出版物外，Rassias 教授還作為作者或卷編輯出版了幾本與 Springer 合作的書籍。Th. M. Rassias 獲得了多項獎項，並且是多本數學分析和優化期刊的活躍編輯委員會成員。他的出版物獲得了大量引用，h-index 為 47。

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