Advances in Topology and Their Interdisciplinary Applications

這本書包含了有關拓撲學的最新研究的精選章節。它填補了拓撲理論最新趨勢與其在社會科學、自然科學、軟計算、經濟學、理論化學、密碼學、模式識別和顆粒計算等領域中應用之間的差距。書中共有14個章節，其中包括兩個從拓撲學角度探討數學經濟學的章節。本書討論了函數空間、關聯空間、預序、拓撲相容性、雙拓撲動力系統、b-度量空間及相關的不動點理論等主題。這本書對於研究拓撲學及相關領域的前沿研究並將其應用於解決當今社會和科學所面臨的現實問題的研究人員、專家和科學家非常有用。

Santanu Acharjee is an Assistant Professor at the Department of Mathematics, Gauhati University, Guwahati, Assam, India. He did his M.Sc. and Ph.D. in Mathematics from Gauhati University. His research areas are topology, soft computing, artificial intelligence, mathematical social science, mathematical economics, social networks, big data analytics, human trafficking and anti-terrorism research. He has published more than 30 research papers and 3 book chapters. Moreover, he has collaborated with several eminent researchers and visiting researchers of several international institutes: the Institute for Advanced Study, USA; the University of Oxford, UK; Creighton University, USA; the University of Auckland, New Zealand; Kuwait University; the University of California, Riverside, USA; the Russian Academy of Science; and the University of Debrecen, Hungary, etc. Dr. Acharjee was invited as a Visiting Researcher by the Fields Institute, Canada. He was awarded a travel grant by the National Board of Higher mathematics (NBHM). He jointly introduced a new area of mathematical research named "bitopological dynamical system" in the year 2020. He is a member of the American Mathematical Society (USA) and the International Association of Engineers (Hong Kong). He is also a life member of the Indian Science Congress Association (India). Dr. Acharjee is a reviewer for Mathematical Reviews (AMS), zbMATH Open (Germany), several journals of American Psychological Association as well as 38 other international journals of mathematics and interdisciplinary fields. He has edited special issues for some reputed journals as a guest editor. He jointly edited the book entitled Advances in Mathematical Analysis and its Applications. He has delivered more than 10 invited talks at various national and international conferences.

Santanu Acharjee是印度阿薩姆邦古瓦哈蒂大學數學系的助理教授。他在古瓦哈蒂大學獲得了數學碩士和博士學位。他的研究領域包括拓撲學、軟計算、人工智能、數學社會科學、數學經濟學、社交網絡、大數據分析、人口販運和反恐研究。他發表了30多篇研究論文和3篇專書章節。此外，他與多位國際知名研究人員和訪問研究人員合作，包括美國高等研究院、英國牛津大學、美國克雷頓大學、新西蘭奧克蘭大學、科威特大學、美國加州大學河濱分校、俄羅斯科學院和匈牙利德布勒森大學等。Acharjee博士曾應加拿大菲爾茲研究所的邀請擔任訪問研究員。他獲得了印度國家高等數學委員會的旅行補助金。他與他人共同在2020年引入了一個名為“雙拓撲動力系統”的數學研究領域。他是美國數學學會和國際工程師協會的成員，也是印度科學大會協會的終身會員。Acharjee博士是Mathematical Reviews (AMS)、zbMATH Open (Germany)以及美國心理學協會的多個期刊和其他38個國際數學和跨學科領域期刊的審稿人。他曾擔任一些知名期刊的特刊編輯。他與他人共同編輯了名為《數學分析及其應用的進展》的書籍。他在各種國家和國際會議上發表了10多次邀請演講。