Advances on Mathematical Modeling and Optimization with Its Applications
暫譯: 數學建模與優化的進展及其應用

《數學建模與優化的進展及其應用》討論了優化、等式和不等式約束及其在多樣化優化領域中的應用。它進一步涵蓋了非線性優化方法，如全局優化和基於梯度的非線性優化及其應用。

- 討論了重要主題，包括多組件微分方程、幾何偏微分方程和計算神經系統
- 涵蓋了線性整數規劃和網路設計問題，以及混合整數問題的應用
- 討論了有約束和無約束的優化、等式和不等式約束及其在多樣化優化領域中的應用
- 闡明了統計模型、機率模型和遷移學習概念的應用
- 展示了多屬性決策建模在影像處理和軟計算領域中的重要性

本書主要針對數學、統計學和計算機科學領域的高年級本科生、研究生及學術研究人員。

Dr. Gunjan Mukherjee is currently an associate professor in the Department of Computational Sciences at Brainware University. He completed his BSc in Physics from Calcutta University, MCA from IGNOU, MTech from Calcutta University and earned his PhD in Engineering from Jadavpur University. His areas of research interests include computer vision, machine learning, soft computing, image processing, etc. He is a life member of CSI, ISOC, and IAENG and has published a number of papers in journals and international conferences of repute. Dr. Mukherjee guided many students of BTech and MCA in their projects and research works. He has solely authored the school computer book series (classes 3-10), a textbook on IT systems theory for engineering students, and is presently writing a book on Python technology. He is currently attached to a reputed publishing house for publication of question/answer-based books for diploma and engineering level students. He has acted as a reviewer for many technical books. Dr. Gunjan was an assistant teacher at the Sree Aurobindo Institute of Education, an education officer in CSI, Kolkata chapter, a senior faculty in NIT Ltd, and a lecturer at Calcutta Institute of Technology. He also served as a visiting faculty in Aliha University, Techno India College and JIS College.

Dr. Biswadip Basu Mallik is presently an Associate Professor of Mathematics in the Department of Basic Sciences and Humanities at Institute of Engineering & Management, Kolkata, India. He has been involved in teaching and research for almost 22 years and has published several research papers and book chapters in various scientific journals and with reputed publishers. He has authored five books at undergraduate levels in the areas of Engineering Mathematics, Quantitative Methods and Computational Intelligence. He has also published five Indian patents along with thirteen edited books. His fields of research work are Computational Fluid Dynamics, Mathematical Modelling, Machine Learning, and Optimization. Dr. Basu Mallik is a Managing editor of Journal of Mathematical Sciences & Computational Mathematics (JMSCM), USA. He is also an Editorial board member and reviewer of several scientific journals. He is a senior life member of Operational Research Society of India (ORSI) and a life member of Calcutta Mathematical Society (CMS), Indian Statistical Institute (ISI), Indian Science Congress Association (ISCA), and International Association of Engineers (IAENG).

Rahul Kar has an M.Sc. in Pure Mathematics and is pursuing his PhD from Bankura University. He currently works as a Faculty of Mathematics at Kalyani Mahavidyalaya, Kalyani, Nadia, West Bengal. He has served as a guest faculty of the Gurunanak Institute of Technology and two other colleges. In total, he has 7 years of teaching experience. Rahul has published many research papers with the Scopus index and is an editor of four national and international journals and a reviewer of five international journals. He has been an editor for ten mathematics/computer books and is an annual member of the Indian Mathematical Society as well as an honorary member of Carmels Research Institute, Dakar, Senegal.

Aryan Chaudhary is the Chief Scientific Advisor at BioTech Sphere Research, India, having served as the Research Head at Nijji HealthCare Pvt Ltd, Head of Research, Nuvem Resources, and other invited positions. He has demonstrated his expertise in leveraging revolutionary technologies such as artificial intelligence, deep learning, IoT, cognitive technology, and blockchain to revolutionize the healthcare landscape. His relentless pursuit of excellence and innovation has earned him recognition as a thought leader in the industry. His dedication to advancing healthcare is evident through his vast bodies of work. He has authored several influential academic papers on public health and digital health, published in prestigious international journals. His research primarily focuses on integrating IoT and sensor technology for efficient data collection through one-time and ambulatory monitoring. As a testament to his expertise and leadership, he is not only a keynote speaker at numerous international and national conferences but also serves as the Series Editor of a CRC book series and is the editor of several books on biomedical science. His commitment to the advancement of scientific knowledge extends further, as he acts as a guest editor for special issues in renowned journals. Recognized for his significant contributions, he has received prestigious accolades, including the "Most Inspiring Young Leader in Healthtech Space 2022" by Business Connect, and the title of the best project leader at Global Education and Corporate Leadership. Moreover, he holds senior memberships in various international science associations, reflecting his influence and impact in the field. Adding to his accomplishments, Aryan Chaudhary is currently serving as a Guest Editor for a special issue in the highly regarded Journal: EAI Endorsed Transactions on AI and Robotics, and he has joined the Editorial Board of Biomedical Science and Clinical Research (BSCR). Additionally, he is a respected professional member of the Association for Computing Machinery (ACM). Recently, he has been elected as Chair for the ACM Professional Chapter.

甘詠詩博士目前是Brainware大學計算科學系的副教授。他在加爾各答大學獲得物理學學士學位，並在IGNOU獲得計算機碩士學位，隨後在加爾各答大學獲得技術碩士學位，並在賈達夫普爾大學獲得工程學博士學位。他的研究興趣包括計算機視覺、機器學習、軟計算、影像處理等。他是CSI、ISOC和IAENG的終身會員，並在多個知名期刊和國際會議上發表了多篇論文。甘博士指導了許多BTech和MCA學生的專案和研究工作。他獨立撰寫了學校計算機書籍系列（3-10年級）、針對工程學生的IT系統理論教科書，並目前正在撰寫一本有關Python技術的書籍。他目前與一家知名出版社合作，出版針對文憑和工程級學生的問答書籍。他曾擔任多本技術書籍的審稿人。甘博士曾在Sree Aurobindo教育學院擔任助教，在加爾各答CSI分會擔任教育官員，在NIT有限公司擔任高級教員，並在加爾各答技術學院擔任講師。他還曾在Aliha大學、Techno India學院和JIS學院擔任訪問教員。

比斯瓦迪普·巴蘇·馬利克博士目前是印度加爾各答工程與管理學院基礎科學與人文學科的數學副教授。他從事教學和研究近22年，並在各種科學期刊和知名出版社發表了多篇研究論文和書籍章節。他在工程數學、定量方法和計算智能等本科領域撰寫了五本書籍。他還發表了五項印度專利以及十三本編輯書籍。他的研究領域包括計算流體力學、數學建模、機器學習和優化。巴蘇·馬利克博士是美國《數學科學與計算數學期刊》（JMSCM）的主編。他還是多個科學期刊的編輯委員會成員和審稿人。他是印度運籌學會（ORSI）的高級終身會員，以及加爾各答數學學會（CMS）、印度統計學會（ISI）、印度科學大會（ISCA）和國際工程師協會（IAENG）的終身會員。

拉胡爾·卡爾擁有純數學碩士學位，並正在Bankura大學攻讀博士學位。他目前在西孟加拉邦卡利亞尼的卡利亞尼大學擔任數學教員。他曾擔任Gurunanak技術學院和其他兩所學院的客座教員。總體而言，他擁有7年的教學經驗。拉胡爾已發表多篇具有Scopus指數的研究論文，並擔任四本國內外期刊的編輯和五本國際期刊的審稿人。他曾擔任十本數學/計算機書籍的編輯，並是印度數學學會的年度會員，以及塞內加爾達喀爾Carmels研究所的榮譽會員。

阿揚·喬杜里是印度BioTech Sphere Research的首席科學顧問，曾擔任Nijji HealthCare Pvt Ltd的研究主管、Nuvem Resources的研究主管及其他受邀職位。他在利用人工智慧、深度學習、物聯網、認知技術和區塊鏈等革命性技術改變醫療保健領域方面展現了專業知識。他對卓越和創新的不懈追求使他在業界獲得了思想領袖的認可。他對推進醫療保健的奉獻精神通過他大量的工作得以體現。他撰寫了多篇有影響力的公共衛生和數位健康的學術論文，發表在知名的國際期刊上。他的研究主要集中在整合物聯網和傳感器技術，以通過一次性和流動監測進行高效數據收集。作為其專業知識和領導力的證明，他不僅是多個國際和國內會議的主題演講者，還擔任CRC書籍系列的系列編輯，並編輯多本生物醫學科學書籍。他對科學知識進步的承諾更進一步，作為多個知名期刊特刊的客座編輯而活躍。因其重大貢獻而獲得的榮譽包括2022年Business Connect頒發的「健康科技領域最具啟發性的年輕領袖」獎，以及全球教育與企業領導最佳專案負責人稱號。此外，他在多個國際科學協會中擔任高級會員，反映出他在該領域的影響力和影響。阿揚·喬杜里目前擔任知名期刊《EAI Endorsed Transactions on AI and Robotics》的特刊客座編輯，並已加入生物醫學科學與臨床研究（BSCR）的編輯委員會。此外，他還是計算機協會（ACM）的專業會員。最近，他被選為ACM專業分會的主席。