Discrete Mathematics, Probability Theory and Stochastic Processes: For Applications in Engineering and Computer Science
暫譯: 離散數學、機率論與隨機過程：工程與計算機科學應用指南

本書提供離散數學、機率論和隨機過程的全面概述，涵蓋每個領域的廣泛主題。它旨在成為一個自足的資源，供希望提高對這些重要數學概念理解的學生和專業人士使用。本書採取實用的方式來探討主題，提供現實世界的例子和應用，幫助讀者理解這些數學概念在計算機科學、工程和金融等各個領域中的應用。

Dr. Brahim Belhaouari Samir is a dynamic and innovative educator and researcher specializing in applied mathematics, optimization, pattern recognition, and prediction techniques. He got a Ph.D. in Mathematical Sciences from the Federal Polytechnic School of Lausanne (EPFL), Switzerland, on the topic of stochastic processes and applications, and a Master's degree in Networks and Telecommunications, with a focus on signal and image processing, from the National Polytechnic Institute (INP/ENSEEIHT), France, in 2006 and 2000, respectively. Associate Professor at the College of Science and Engineering, Hamad Bin Khalifa University in Qatar, he also worked at the University of Sharjah in the U.A.E., at the Radiological Technologies University-VT in Indiana, USA, and at INNOPOLIS University in Kazan, Russian Federation. His outstanding contributions have been recognized with numerous awards, including Gold and Silver Medals at international exhibitions. Dr. Belhaouari Samir has led multiple research projects, spanning fields from pure sciences to artificial intelligence, and published over 300 papers. He also played a pivotal role in establishing INNOPOLIS University in Russia, a collaborative effort with ETH and CMU, as part of his dedication to advancing global education initiatives. He has collaborated with different, international institutions, such as EPFL, and Gamma School in Switzerland, INP in France, UTP in Malaysia, AU in Saudi Arabia, Radiological Technologies University-VT in the USA, as well as Sharjah University in the UAE, and Qatar Foundation in Qatar.

Dr. Halima Bensmail got her Ph.D. from the University of Pierre & Marie Curie (Paris VI) in France. After that, she spent three years as a postdoctoral researcher at the University of Washington, Seattle, and at the Fred Hutchinson Cancer Research Center. In turn, she held a two-year research scientist position within the Data Theory Group at the University of Leiden in the Netherlands. She joined the University of Tennessee, as an Assistant and subsequently an Associate Professor of Statistical Machine Learning. She then moved to the University of Virginia Medical School, where she played a pivotal role in establishing the Master of Public Health (MPH) program and held an Associate Professorship in Statistics and Biostatistics. Currently, Dr. Bensmail is a Principal Scientist at Qatar Computing Research Institute (QCRI), where she founded the Bioinformatics and Computational Biology Group. She also holds a joint professorship at Hamad Bin Khalifa University's College of Science and Engineering and serves as a Visiting Professor at Texas A&M University at Qatar. With over 140 peer-reviewed publications in top journals, including Nucleic Acids Research, Genome Research, Nature Communications, Bioinformatics, and the Journal of the American Statistical Association, Dr. Bensmail is an active mentor to several Master's and Ph.D. students. She was awarded with the "1996 International Federation of Classification Society Junior Researcher Award," the "2011 Qatar Foundation Computing Researcher Award," the "2023 Women in AI MENA Award," and the "2015 Turkish Statistician Society Award." Additionally, she serves as a principal investigator on various grants in Qatar and internationally, and she has reviewed for the National Institutes of Health (NIH) and the National Science Foundation (NSF).

Dr. Farshid Mehrdoust got his his Ph.D. from the University of Guilan, Iran, on topics related to Mathematical Finance, Computational Finance, Stochastic Processes, and Stochastic Algorithms for Scientific Computations. He is currently Associate Professor, in the Department of Computer Science and Applied Mathematics, at the Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. His expertise lies particularly in Monte Carlo methods, algorithms for Linear Algebra, and Performance Computing within the realm of Stochastic Modeling. Dr. Mehrdoust has been recognized multiple times as an Outstanding Researcher by the Faculty of Mathematical Sciences, reflecting his impactful contributions to research and education. Notably, he ranked 5th in the entrance examination for graduate studies in Applied Mathematics in Iran in 1999. Beyond teaching, Dr. Mehrdoust has played a pivotal role in leading several key initiatives at the university, including the Entrepreneurship Center, the e-Learning Center, and the Information & Communication Technology (ICT) Center. He is proficient in a variety of programming languages, including C#, Java, and Python, which he integrates into his teaching of courses such as Mathematical Modeling for Finance and Advanced Stochastic Processes.

Dr. Brahim Belhaouari Samir 是一位充滿活力且具創新精神的教育者和研究者，專注於應用數學、優化、模式識別和預測技術。他在瑞士洛桑聯邦理工學院（EPFL）獲得數學科學博士學位，研究主題為隨機過程及其應用，並於2000年在法國國立高等工程學院（INP/ENSEEIHT）獲得網路與電信碩士學位，專注於信號和影像處理。他目前是卡塔爾哈馬德·本·哈利法大學科學與工程學院的副教授，曾在阿聯酋沙迦大學、美國印第安納州的放射技術大學（Radiological Technologies University-VT）以及俄羅斯喀山的INNOPOLIS大學工作。他的卓越貢獻獲得了多項獎項的認可，包括國際展覽的金獎和銀獎。Dr. Belhaouari Samir 主導了多個研究項目，涵蓋從純科學到人工智慧的領域，並發表了超過300篇論文。他在建立俄羅斯INNOPOLIS大學的過程中發揮了關鍵作用，這是一項與ETH和CMU的合作努力，體現了他對推進全球教育倡議的承諾。他與多個國際機構合作，包括瑞士的EPFL和Gamma School、法國的INP、馬來西亞的UTP、沙烏地阿拉伯的AU、美國的放射技術大學以及阿聯酋的沙迦大學和卡塔爾基金會。

Dr. Halima Bensmail 於法國皮埃爾與瑪麗·居里大學（巴黎六大）獲得博士學位。之後，她在美國西雅圖的華盛頓大學和弗雷德·哈欽森癌症研究中心擔任三年的博士後研究員。接著，她在荷蘭萊頓大學的數據理論小組擔任了兩年的研究科學家。她加入田納西大學，擔任統計機器學習的助理教授，隨後晉升為副教授。之後，她轉到維吉尼亞大學醫學院，在那裡她在建立公共衛生碩士（MPH）課程中發揮了關鍵作用，並擔任統計學和生物統計學的副教授。目前，Dr. Bensmail 是卡塔爾計算研究所（QCRI）的首席科學家，並創立了生物資訊學和計算生物學小組。她還在哈馬德·本·哈利法大學的科學與工程學院擔任聯合教授，並在卡塔爾的德克薩斯農工大學擔任訪問教授。Dr. Bensmail 在包括《核酸研究》、《基因組研究》、《自然通訊》、《生物資訊學》和《美國統計協會期刊》在內的頂級期刊上發表了超過140篇經過同行評審的論文，並積極指導多位碩士和博士生。她曾獲得「1996年國際分類學會青年研究者獎」、「2011年卡塔爾基金會計算研究者獎」、「2023年中東與北非女性人工智慧獎」和「2015年土耳其統計學會獎」。此外，她還擔任卡塔爾及國際上多個資助計畫的首席研究員，並曾為美國國立衛生研究院（NIH）和國家科學基金會（NSF）進行審查。

Dr. Farshid Mehrdoust 於伊朗吉蘭大學獲得博士學位，研究主題涉及數學金融、計算金融、隨機過程和科學計算的隨機算法。他目前是伊朗拉什特吉蘭大學數學科學學院計算機科學與應用數學系的副教授。他的專長特別在於蒙地卡羅方法、線性代數算法和隨機建模中的性能計算。Dr. Mehrdoust 多次被數學科學學院評選為傑出研究者，反映了他對研究和教育的深遠貢獻。值得注意的是，他在1999年伊朗應用數學研究生入學考試中排名第五。除了教學外，Dr. Mehrdoust 在大學內部主導了多個重要倡議，包括創業中心、電子學習中心和資訊與通信技術（ICT）中心。他精通多種程式語言，包括C#、Java和Python，並將其融入到數學金融建模和高級隨機過程等課程的教學中。