Mathematical Modeling for Intelligent Systems: Theory, Methods, and Simulation

Mathematical Modeling for Intelligent Systems: Theory, Methods, and Simulation aims to provide a reference for the applications of mathematical modeling using intelligent techniques in various unique industry problems in the era of Industry 4.0. Providing a thorough introduction to the field of soft-computing techniques, this book covers every major technique in artificial intelligence in a clear and practical style. It also highlights current research and applications, addresses issues encountered in the development of applied systems, and describes a wide range of intelligent systems techniques, including neural networks, fuzzy logic, evolutionary strategy, and genetic algorithms. This book demonstrates concepts through simulation examples and practical experimental results.

- Offers a well-balanced mathematical analysis of modeling physical systems

- Summarizes basic principles in differential geometry and convex analysis as needed

- Covers a wide range of industrial and social applications and bridges the gap between core theory and costly experiments through simulations and modeling

- Focuses on manifold ranging from stability of fluid flows, nanofluids, drug delivery, and security of image data to pandemic modeling, etc.

This book is primarily aimed at advanced undergraduates and postgraduate students studying computer science, mathematics, and statistics. Researchers and professionals will also find this book useful.

《智能系統的數學建模：理論、方法和模擬》旨在提供在工業4.0時代中，利用智能技術進行數學建模應用於各種獨特行業問題的參考資料。本書全面介紹了軟計算技術領域，以清晰實用的風格涵蓋了人工智能的各種主要技術。它還突出了當前的研究和應用，解決了應用系統開發中遇到的問題，並描述了各種智能系統技術，包括神經網絡、模糊邏輯、進化策略和遺傳算法。本書通過模擬示例和實驗結果演示概念。

主要特點：
- 提供對物理系統建模的均衡數學分析
- 根據需要總結微分幾何和凸分析的基本原理
- 涵蓋廣泛的工業和社會應用，通過模擬和建模填補核心理論和昂貴實驗之間的差距
- 關注流體流動穩定性、納米流體、藥物傳遞、圖像數據安全性到疫情建模等多種領域

本書主要針對計算機科學、數學和統計學的高年級本科生和研究生。研究人員和專業人士也會發現本書很有用。

Dr. Mukesh Kumar Awasthi working as an Assistant Professor in the Department of Mathematics at Babasaheb Bhimrao Ambedkar University (A Central University), Lucknow, India. He completed his doctorate with a major in Mathematics from the Indian Institute of Technology Roorkee, Roorkee, India in 2012. He has qualified for various National level competitive exams in the area of Mathematical Sciences. He has been a recipient of a research fellowship under the Council of Scientific and Industrial Research, India during his Ph.D. His research areas include Computational Fluid Dynamics, Heat transfer, Applied Mathematical Modeling, and Numerical analysis, etc. He loves to teach applied mathematics courses to undergraduate, postgraduate, and Ph.D. students. He has been indifferent to academic and administrative positions during his academic profession. He has more than 100 publications (90 SCI indexed, 92 Scopus indexed) to his credit in the high impact factor journals of international repute. He has attended many symposia, workshops, and conferences in mathematics as well as fluid mechanics. He has got research awards consecutively four times from the University of Petroleum and Energy Studies, Dehradun, India. He has also received the start-up research fund for his project Nonlinear study of the interface in multilayer fluid system from UGC, New Delhi.

Dr Ravi Tomar is currently working as Associate Professor in the School of Computer Science at the University of Petroleum & Energy Studies, Dehradun, India. Skilled in Programming, Computer Networking, Stream processing, Core Java, J2EE, RPA and CorDApp, his research interests include Wireless Sensor Networks, Image Processing, Data Mining and Warehousing, Computer Networks, big data technologies and VANET. He has authored 51+ papers in different research areas, filled four Indian patent, edited 5 books and have authored 5 books. He has delivered Training to corporates nationally and internationally on Confluent Apache Kafka, Stream Processing, RPA, CordaApp, J2EE and IoT to clients like KeyBank, Accenture, Union Bank of Philippines, Ernst and Young and Deloitte. Dr Tomar is officially recognized as Instructor for Confluent and CordApp. He has conducted various International conferences in India, France and Nepal. He has been awarded a young researcher in Computer Science and Engineering by RedInno, India in 2018, Academic Excellence and Research Excellence Award by UPES in 2021 and Young Scientist Award by UCOST, Dehradun .

Dr. Maanak Gupta is an Assistant Professor in the Department of Computer Science at Tennessee Tech University, USA. He received his Ph.D. in Computer Science from the University of Texas at San Antonio and has worked as a Postdoctoral Research Fellow at the Institute for Cyber Security. He also holds an M.S. degree in Information Systems from Northeastern University, Boston. His primary area of research includes security and privacy in cyberspace focused on studying foundational aspects of access control and their application in technologies including cyber-physical systems, cloud computing, IoT, and Big data. Dr. Gupta has worked in developing novel security mechanisms, models, and architectures for next-generation smart cars, smart cities, intelligent transportation systems, and smart farming. He is also interested in machine learning-based malware analysis and AI-assisted cyber security solutions. His scholarly work is regularly published at top peer-reviewed security venues including ACM SIGSAC conferences and refereed journals. He was awarded the 2019 computer science outstanding doctoral dissertation research award from UT San Antonio. His research has been funded by the US National Science Foundation (NSF), NASA, the US Department of Defense (DoD), and private industry.

Dr. Mukesh Kumar Awasthi在印度Lucknow的Babasaheb Bhimrao Ambedkar大學數學系擔任助理教授。他於2012年在印度羅爾基的印度理工學院獲得數學博士學位。他在數學科學領域通過了各種國家級競爭考試。在攻讀博士學位期間，他曾獲得印度科學與工業研究委員會的研究獎學金。他的研究領域包括計算流體力學、熱傳遞、應用數學建模和數值分析等。他喜歡教授應用數學課程給本科、研究生和博士生。在學術職業生涯中，他曾擔任學術和行政職位。他在國際知名高影響因子期刊上發表了100多篇論文（90篇SCI索引，92篇Scopus索引）。他曾參加過許多數學和流體力學的研討會、研討會和會議。他連續四次獲得了印度德拉敦的石油和能源研究大學的研究獎。他還獲得了印度UGC的啟動研究基金，用於他的多層流體系統界面的非線性研究項目。

Dr. Ravi Tomar目前在印度德拉敦的石油和能源研究大學計算機科學學院擔任副教授。他擅長編程、計算機網絡、流處理、核心Java、J2EE、RPA和CorDApp，他的研究興趣包括無線傳感器網絡、圖像處理、數據挖掘和數據倉儲、計算機網絡、大數據技術和VANET。他在不同的研究領域撰寫了51篇以上的論文，填寫了四項印度專利，編輯了5本書並撰寫了5本書。他曾向國內外企業（如KeyBank、Accenture、菲律賓聯合銀行、安永和德勤）提供有關Confluent Apache Kafka、流處理、RPA、CordaApp、J2EE和物聯網的培訓。Tomar博士被正式認可為Confluent和CordApp的講師。他在印度、法國和尼泊爾舉辦了各種國際會議。他於2018年獲得了印度RedInno頒發的計算機科學和工程青年研究員獎，並於2021年獲得了UPES頒發的學術卓越和研究卓越獎，以及德拉敦UCOST頒發的青年科學家獎。

Dr. Maanak Gupta是美國田納西科技大學計算機科學系的助理教授。他在德克薩斯大學聖安東尼奧分校獲得計算機科學博士學位，並在研究所進行了博士後研究。他還擁有波士頓東北大學的信息系統碩士學位。他的主要研究領域包括研究訪問控制的基礎方面以及其在包括物聯網、雲計算、物理系統和大數據等技術中的應用的安全和隱私。Gupta博士致力於開發新的安全機制、模型和架構，用於下一代智能汽車、智能城市、智能交通系統和智能農業。他還對基於機器學習的惡意軟件分析和人工智能輔助的網絡安全解決方案感興趣。他的學術工作定期在頂級同行評審的安全場所發表，包括ACM SIGSAC會議和審查期刊。他於2019年獲得了德克薩斯大學聖安東尼奧分校頒發的計算機科學優秀博士論文研究獎。他的研究得到了美國國家科學基金會（NSF）、NASA、美國國防部（DoD）和私營行業的資助。