Introduction to Mathematical Modeling and Computer Simulations
暫譯: 數學建模與電腦模擬導論

《數學建模與電腦模擬導論（第二版）》繼續作為一本引人入勝且易於理解的教科書，適合學習數學建模和電腦模擬的本科生。該書重點關注應用，因此對於應用數學家、工程師以及其他從事應用定量學科的人士特別有吸引力。這本書也可能對早期職業階段的從業者作為參考書籍有所幫助。

本版新增內容：
- 新增一章關於機器學習和數據分析，以考慮該領域的最新發展。
- 第9章「複合材料中的漸近方法」已完全重寫，以使其更符合行業和科學標準。
- 包含對Python語言編程的基本介紹。
- 第10章和附錄A的示例Jupyter筆記本可從www.Routledge.com/9781032661513下載。

Vladimir Mityushev is currently a Professor and leads the research group Materialica+ at the Cracow University of Technology. His expertise encompasses mathematical modeling, computer simulations, and industrial mathematics. He has provided a complete solution to the Riemann-Hilbert problem for multiply connected domains, applying it to the analytical theory of representative volume elements for dispersed composites. His interdisciplinary research spans a wide array of fields, including the effective properties of composites with deterministic and random structures, elliptic partial differential equations, symbolic computations, boundary value problems, asymptotic methods, packing, deterministic and random graphs, biomathematics, bioinformatics, porous media, permeability, diffusion, elasticity, heat conduction, fracture mechanics, electroosmotic phenomena, and viscous flow in wavy channels.

Radoslaw Antoni Kycia, PhD, MBA, earned his PhD from Theoretical Physics from Jagiellonian University. He specializes in multidisciplinary projects involving Computer Science, Mathematics, and Physics. He collaborated with CERN, Brookhaven National Laboratory, and Masaryk University. He is the Head of the Computer Science Department at the Faculty of Computer Science and Telecommunications of the Cracow University of Technology.

Wojciech Nawalaniec is a specialist in Computer Simulations and Applied Mathematics. His research focuses on the effective properties of random composites. He developed a computationally efficient symbolic-numerical algorithm to determine structural sums defined by an exponential complexity algorithm. He derived new higher-order formulas for the effective constants of dispersed composites. In addition to symbolic-numerical calculations, his scientific activity also involves simulations and the analysis of random structures using machine learning methods. Wojciech Nawalaniec currently works in the industry, exploring applications of AI in cyber risk quantification.

Natalia Rylko pursued her Doctorate in Technical Sciences, specializing in Mechanics and Thermomechanics of Fiber Composite Materials, at Poznan University of Technology. She currently serves as the Vice Dean of the Department of Computer Science and Telecommunications at the Cracow University of Technology, where she is actively involved in educational and scientific endeavors. Her research in Materials Engineering focuses on applying advanced mathematical techniques, machine learning, and analyzing large datasets, including intricate composite material structures depicted in images.

弗拉基米爾·米丘舍夫目前是克拉科夫科技大學的教授，並領導研究小組Materialica+。他的專業領域包括數學建模、計算機模擬和工業數學。他為多重連通域的黎曼-希爾伯特問題提供了完整的解決方案，並將其應用於分散複合材料的代表性體積元素的分析理論。他的跨學科研究涵蓋了廣泛的領域，包括具有確定性和隨機結構的複合材料的有效性質、橢圓型偏微分方程、符號計算、邊值問題、漸近方法、包裝、確定性和隨機圖、生命數學、生物信息學、多孔介質、滲透性、擴散、彈性、熱傳導、斷裂力學、電滲透現象以及波浪通道中的粘性流動。

拉多斯瓦夫·安東尼·基恰博士、MBA，於雅蓋隆大學獲得理論物理博士學位。他專注於涉及計算機科學、數學和物理的多學科項目。他曾與歐洲核子研究組織（CERN）、布魯克海文國家實驗室和馬薩里克大學合作。他是克拉科夫科技大學計算機科學與電信學院的計算機科學系主任。

沃伊切赫·納瓦拉涅茨是計算機模擬和應用數學的專家。他的研究重點是隨機複合材料的有效性質。他開發了一種計算效率高的符號-數值算法，以確定由指數複雜度算法定義的結構和。 他推導出了分散複合材料的有效常數的新高階公式。除了符號-數值計算外，他的科學活動還涉及使用機器學習方法進行隨機結構的模擬和分析。沃伊切赫·納瓦拉涅茨目前在業界工作，探索人工智慧在網絡風險量化中的應用。

娜塔莉亞·瑞爾科在波茲南科技大學攻讀技術科學博士學位，專攻纖維複合材料的力學和熱力學。她目前擔任克拉科夫科技大學計算機科學與電信系的副院長，積極參與教育和科學工作。她在材料工程方面的研究專注於應用先進的數學技術、機器學習以及分析大型數據集，包括圖像中描繪的複雜複合材料結構。