Mathematical Analysis: Theory and Applications
暫譯: 數學分析：理論與應用

《數學分析：理論與應用》提供了該領域最新發展的概述，展示了來自多位受尊敬學者的原創貢獻和調查。讀者將發現許多有價值的工具和技術，以增強對數學分析及其應用的最新進展的理解。每一章節都突顯了新的研究方向，使本書適合對數學分析及其實際應用發展有積極興趣的研究生、教職員和研究人員。讀者只需具備基本的分析、拓撲學和泛函分析知識，即可充分受益於內容。

特色

• 通過展示來自全球傑出科學家和數學家的貢獻，展示這些領域的最新進展


• 適合作為研究生和研究人員的參考資料


• 探討未來的研究方向

Pradip Debnath is an Associate Professor in the Department of Mathematical Sciences at Tezpur University, India. He featured in the World's Top 2% Scientists list prepared by Stanford University and published by Elsevier in the successive years 2023 and 2024. He is also an Associate Editor of the journal Heliyon (mathematics section), published by Elsevier. He was previously an Assistant Professor (in mathematics) at the Department of Applied Science and Humanities, Assam University, Silchar (a central university), India. Prior to that, he worked as an Assistant Professor in the Department of Mathematics at the North Eastern Regional Institute of Science and Technology (NERIST), India.

He earned his Ph.D. in Mathematics from the National Institute of Technology Silchar, India. His research interests include fixed point theory, functional analysis, soft computing, and mathematical statistics. He has published more than 60 papers in various journals of international repute and is an active reviewer for more than 65 international journals. He is also a reviewer for Mathematical Reviews published by the American Mathematical Society. He is the Lead Editor of the books Metric Fixed Point Theory Applications in Science, Engineering and Behavioural Sciences (2021, Springer Nature), Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences (2021, CRC Press), Fixed Point Theory and Fractional Calculus: Recent Advances and Applications (2022, Springer Nature), Soft Computing: Recent Advances and Applications in Engineering and Mathematical Sciences (2023, CRC Press), Advanced Mathematical Analysis and Its Applications (2023, CRC Press), Advances in Number Theory and Applied Analysis (2023, World Scientific), and several others.

He is a topical advisory panel member of the journals Axioms and Fractal and Fractional and a guest editor of several special issues for different journals. He has successfully guided Ph.D. students in the areas of nonlinear analysis, soft computing, and fixed point theory. He has recently completed a major Basic Science Research Project in fixed point theory funded by the UGC, the Government of India. Having been an academic gold medalist during his post-graduation studies at Assam University, Silchar, Dr. Debnath has qualified for several national-level examinations in mathematics in India.

Hari M. Srivastava is Professor Emeritus at the Department of Mathematics and Statistics, University of Victoria, Canada. He has been a Clarivate Analytics (Thomson-Reuters) Highly Cited Researcher for the years 2015, 2017, 2018, and 2020. He has also been listed and ranked in sixth place in General Mathematics among the Top 2% Scientists in the World 2021 (published by Stanford University in the US). In fact, it is not possible to list all of his tremendous academic achievements in just a few sentences. The details of the same may be found on his regularly updated website www.math.uvic.ca/harimsri/.

Delfim Fernando Marado Torres earned a Ph.D. in Mathematics from the University of Aveiro (UA), Portugal, in 2002, and habilitation in Mathematics, UA, in 2011. He has been a full professor of mathematics since 9 March 2015. He has been the Director of the R&D Unit CIDMA, the largest Portuguese research center for mathematics, and Coordinator of its Systems and Control Group. His main research areas are calculus of variations and optimal control; optimization; fractional derivatives and integrals; dynamic equations on time scales; and mathematical biology. Torres has written outstanding scientific and pedagogical publications. In particular, he is the author of two books published by Imperial College Press, three books published by Springer, and is the editor of several other books. Professor Torres has been recognized four times as one of the top 1% of mathematicians on the prestigious global Clarivate Web of Science list and is the only Portuguese mathematician to be so honored. He has strong experience in graduate and post-graduate student supervision and teaching mathematics. He has supervised 27 Ph.D. students in mathematics. Moreover, he has been the leading member in several national and international R&D projects, including EU projects and networks. Since 2013, Professor Torres has been the Director of the Doctoral Programme Consortium in Mathematics and Applications (MAP-PDMA) of the Universities of Minho, Aveiro, and Porto, Portugal.

Yeol Je Cho is Emeritus Professor at the Department of Mathematics Education, Gyeongsang National University, Jinju, Korea, and Distinguished Professor at the School of Mathematical Sciences, the University of Electronic Science and Technology of China, Chengdu, Sichuan, China. In 1984, he earned his Ph.D. in Mathematics from Pusan National University, Pusan, Korea. He has been a fellow of the Korean Academy of Science and Technology, Seoul, Korea, since 2006, and a member of several mathematical societies. He has organized international conferences on nonlinear functional analysis and applications, fixed point theory and applications, and workshops and symposiums on nonlinear analysis and applications. He has published over 400 papers, 20 monographs, and 12 books with renowned publishers from around the world. His research areas are nonlinear analysis and applications, especially fixed-point theory and applications, and some kinds of nonlinear problems, that is, equilibrium problems, variational inequality problems, saddle point problems, optimization problems, inequality theory and applications, and stability of functional equations and applications. He has delivered several invited talks at international conferences on nonlinear analysis and applications and is on the editorial boards of ten international journals of mathematics.

Pradip Debnath 是印度 Tezpur University 數學科學系的副教授。他在 2023 年和 2024 年被史丹佛大學編制的全球前 2% 科學家名單中列出，並由 Elsevier 發布。他也是由 Elsevier 出版的期刊 Heliyon（數學部分）的副編輯。他曾擔任印度 Silchar 的 Assam University 應用科學與人文學系的助理教授（數學）。在此之前，他在印度的 North Eastern Regional Institute of Science and Technology (NERIST) 數學系擔任助理教授。

他在印度 Silchar 的國立技術學院獲得數學博士學位。他的研究興趣包括不動點理論、函數分析、軟計算和數學統計。他在各種國際知名期刊上發表了超過 60 篇論文，並且是超過 65 本國際期刊的活躍審稿人。他也是美國數學學會出版的 Mathematical Reviews 的審稿人。他是以下書籍的主編：Metric Fixed Point Theory Applications in Science, Engineering and Behavioural Sciences（2021，Springer Nature）、Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences（2021，CRC Press）、Fixed Point Theory and Fractional Calculus: Recent Advances and Applications（2022，Springer Nature）、Soft Computing: Recent Advances and Applications in Engineering and Mathematical Sciences（2023，CRC Press）、Advanced Mathematical Analysis and Its Applications（2023，CRC Press）、Advances in Number Theory and Applied Analysis（2023，World Scientific）及其他幾本書籍。

他是期刊 Axioms 和 Fractal and Fractional 的主題諮詢小組成員，並且是多本期刊特刊的客座編輯。他成功指導了多位博士生，研究領域包括非線性分析、軟計算和不動點理論。他最近完成了一項由印度政府 UGC 資助的重大基礎科學研究項目，專注於不動點理論。在 Assam University, Silchar 的研究生學習期間，他曾獲得學術金獎，並且在印度的數學國家級考試中獲得多項資格。

Hari M. Srivastava 是加拿大維多利亞大學數學與統計系的名譽教授。他在 2015、2017、2018 和 2020 年被 Clarivate Analytics（Thomson-Reuters）評選為高被引研究者。他在 2021 年的全球前 2% 科學家名單中被列為一般數學領域的第六名（由美國史丹佛大學發布）。事實上，無法在幾句話中列出他所有的卓越學術成就。詳細信息可在他定期更新的網站 www.math.uvic.ca/harimsri/ 中找到。

Delfim Fernando Marado Torres 於 2002 年在葡萄牙阿維羅大學（UA）獲得數學博士學位，並於 2011 年獲得數學的資格認證。他自 2015 年 3 月 9 日起擔任數學全職教授。他曾擔任葡萄牙最大的數學研究中心 CIDMA 的研究與發展單位主任，並協調其系統與控制小組。他的主要研究領域包括變分法與最優控制、優化、分數導數與積分、時間尺度上的動態方程以及數學生物學。Torres 撰寫了出色的科學和教學出版物。特別是，他是由 Imperial College Press 出版的兩本書、由 Springer 出版的三本書的作者，並且是其他幾本書的編輯。Torres 教授四次被認定為全球 Clarivate Web of Science 名單中前 1%的數學家，並且是唯一獲此榮譽的葡萄牙數學家。他在研究生和博士生的指導及數學教學方面擁有豐富的經驗，已指導 27 位數學博士生。此外，他在多個國內和國際研究與發展項目中擔任主要成員，包括歐盟項目和網絡。自 2013 年以來，Torres 教授一直擔任葡萄牙米尼霍大學、阿維羅大學和波爾圖大學的數學與應用博士課程聯盟（MAP-PDMA）主任。

Yeol Je Cho 是韓國慶尚國立大學數學教育系的名譽教授，以及中國四川成都電子科技大學數學科學學院的特聘教授。他於 1984 年在韓國釜山國立大學獲得數學博士學位。自 2006 年以來，他一直是韓國科學技術院的院士，並且是多個數學學會的成員。他組織了有關非線性函數分析及其應用、不動點理論及其應用的國際會議，以及非線性分析及其應用的研討會和座談會。他已發表超過 400 篇論文、20 本專著和 12 本書，與世界各地的知名出版商合作。他的研究領域包括非線性分析及其應用，特別是不動點理論及其應用，以及某些類型的非線性問題，即均衡問題、變分不等式問題、鞍點問題、優化問題、不等式理論及其應用，以及函數方程的穩定性及其應用。他在國際會議上就非線性分析及其應用發表了多次受邀演講，並且是十本國際數學期刊的編輯委員會成員。